a man carries a hand bag by hanging on his hand and moves horizontally where the bag does not move up or down. What is the work done on the bag? The man gets tired after sometime of the movement. Why?​

Answers

Answer 1

The work done by the man is the product of his applied force and the displacement of the bag and the man gets tired because his internal energy has be converted to work.

What is work done by the man?

The work done by the man is the product of his applied force and the displacement of the bag.

Why the man gets tired

The man gets tired because his internal energy has be used to do work on the bag.

Thus, the work done by the man is the product of his applied force and the displacement of the bag and the man gets tired because his internal energy has be converted to work.

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Related Questions

A person walks first at a constant speed of 5.00 m.s-1
along a straight line from point A to
point B and then back along the line from B to A at a constant speed of 3.00 m.s-1
.
(a) Calculate her average speed over the entire trip.

Answers

The average speed of the person over the entire trip is 3.75 m/s.

Average speed of the person

Average speed = total distance/total time

Average speed = (d + d)/(d/Va + d/Vb)

where;

d is the distance in a single tripVa is speed from point AVb is the speed from point B

Average speed = (2Vavb)/(Va + Vb)

Average speed = (2 x 5 x 3)/(5 + 3)

Average speed = 3.75 m/s

Thus, the average speed of the person over the entire trip is 3.75 m/s.

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If the coefficient of kinetic friction between a 24-kg crate and the floor is 0.25 what horizontal force is required to move the crate at a steady speed across the floor?

Answers

The horizontal force required to move the crate at a steady speed across the floor will be 58.86 N.

What is the friction force?

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

The given data in the problem is;

Mass,m = 24 kg

The coefficient of kinetic friction, μ=0.25

The friction force is defined as the product of the coefficient of friction and normal reaction.

f=μN

If there is no other force, the horizontal force is equal to the friction force;

F=f

The horizontal force required to move the crate at a steady speed across the floor is found as;

F = μN

The normal reaction force is;

N=W

N=mg

F = μmg

F=0.25 ×  24-kg × 9.81 m/s²

F = 58.86 N

Hence horizontal force is required to move the crate at a steady speed across the floor will be 58.86 N.

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a 600 g pool ball moving at 2.0m/s hits a second pool of the same mass at rest. the first ball moves off at 1.5m/s at an angle of 30 degrees from the original direction. assume the surface of the pool table to b frictionless find the angle at which the second ball moves off and the speed of the second ball after impact.​

Answers

The speed of the second ball after impact is 1.43 m/s at 60.8⁰.

Speed of the second ball

Apply the principle of conservation of linear momentum;

in y direction

0.6(2) = 0.6(1.5 sin30) + 0.6(vy)

1.2 = 0.45 + 0.6vy

0.6vy = 0.75

vy = 0.75/0.6

vy = 1.25 m/s

in x direction

0.6(2) = 0.6(1.5 cos30) + 0.6(vx)

1.2 = 0.78 + 0.6vx

0.6vx = 0.42

vx = 0.42/0.6

vx = 0.7 m/s

Resultant speed

v = √(vy² + vx²)

v = √(1.25² + 0.7²)

v = 1.43 m/s

Direction of second mass

θ = arc tan(vy/vx)

θ = arc tan (1.25/0.7)

θ = 60.8⁰

Thus, the speed of the second ball after impact is 1.43 m/s at 60.8⁰.

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a metal ion (x) with a charge of 3= is attracted to a normal ion (z) with a charge of 4- which of these formulas represents the resulting comppound

Answers

If the metal ion has a 3+ charge and the nonmetal ion has a 4- charge, the formula of the compound is X4Z3.

What is the formula of a compound?

The formula of an ionic compound is determined by the charges of the ions that make up the compound. Recall that when the compound is  formed, the ions exchange valences.

Hence, is the metal ion has a 3+ charge and the nonmetal ion has a 4- charge, the formula of the compound is X4Z3.

Missing parts:

A metal ion (X) with a charge of 3+ is attracted to a nonmetal ion (Z) with a charge of 4-. Which of these formulas represents the resulting compound.

A. 7XZ

B. X3Z4

C. X4Z3

D. 4X3Z

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Animals change their feature according to their environment​

Answers

Some animals adapt to the effects of climate change in their environment by relocating to a cooler location, changing their biological nature to better withstand the heat, or changing the timing of specific activity to match with seasonal changes.

.

Drag each label to the correct location on the table sort the sentences based on weather thy are correct or incorrect

Answers

The statement that water boils at a temperature below 100 degrees in a pressure cooker is correct

What is freezing?

The term freezing refers to the temperature at which a liquid is turned into a solid.

The following is the sorting of the statements into those that are correct and incorrect.

Water boils at a temperature below 100 degrees at high altitudes - correct

Water expands on freezing - correct

Water contracts on freezing - incorrect

Water boils at a temperature below 100 degrees in a pressure cooker - correct

Water boils at 100 degrees under normal pressure - correct

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What is the force between two balloons with a negative charge of 1.6 × 10−10 C if the balloons are 0.05 m apart?

Answers

Considering the Coulomb's Law, the force between the two ballons is 9.216×10⁻⁸ N.

Coulomb's Law

Charged bodies experience a force of attraction or repulsion on approach.

From Coulomb's Law it is possible to predict what the electrostatic force of attraction or repulsion between two particles will be according to their electric charge and the distance between them.

From Coulomb's Law, the electric force with which two point charges at rest attract or repel each other is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them:

[tex]F=k\frac{Qq}{d^{2} }[/tex]

where:

F is the electrical force of attraction or repulsion. It is measured in Newtons (N).Q and q are the values ​​of the two point charges. They are measured in Coulombs (C).d is the value of the distance that separates them. It is measured in meters (m).K is a constant of proportionality called the Coulomb's law constant. It depends on the medium in which the charges are located. Specifically for vacuum k is approximately 9×10⁹ [tex]\frac{Nm^{2} }{C^{2} }[/tex].

The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign.

Force between two balloons

In this case, you know that two balloons have a negative charge of 1.6×10⁻¹⁰ C and the balloons are 0.05 m apart.

Replacing in the Coulomb's Law, you get:

[tex]F=9x10^{9} \frac{Nm^{2} }{C^{2} } \frac{(-1.6x10^{-10} C)x(-1.6x10^{-10} C)}{(0.05 m)^{2} }[/tex]

Solving:

[tex]F=9x10^{9} \frac{Nm^{2} }{C^{2} } \frac{2.56x10^{-20} C^{2} }{(0.05 m)^{2} }[/tex]

[tex]F=9x10^{9} \frac{Nm^{2} }{C^{2} } 1.024x10^{-17}\frac{ C^{2} }{m^{2} }[/tex]

F= 9.216×10⁻⁸ N

Finally, the force between the two ballons is 9.216×10⁻⁸ N.

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Discuss how oxygen is used in spacecraft in at least 2 paragraphs.

Answers

Oxygen is used in spacecraft by the persons for respiration.

Why do spaceships need oxygen?

Rocket engines carry oxygen gas for combustion because combustion need oxygen. Rockets carry an  liquid oxygen up to space with them as a fuel.

Astronauts sealed in a spacecraft that need a continuous supply of oxygen for respiration. Without this oxygen, no person can survive in the spacecraft.

So we can conclude that oxygen is used in spacecraft by the persons for respiration.

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Oxygen is required in spacecrafts for the following:

Oxygen is mixed with fuel to power the engines,Oxygen is used in pressurized spacesuits for breathing.

What is the importance of oxygen in spacecraft?

Spacecraft refers to vehicles which are used to travel to space.

In space, their is little or no oxygen. Thus oxygen is used in the following ways:

Oxygen is mixed with fuel to power the engines,Oxygen is used in pressurized spacesuits for breathing.

In conclusion, oxygen is important for combustion of fuel of the spacecraft engines as well as for breathing by the astronauts.

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Two balls of equal mass collide and stick together as shown in the figure. The initial velocity of ball B is twice that of ball A. a. Calculate the angle above the horizontal of the motion of mass A + B after the collision. b. What is the ratio of the final velocity of the mass A + B to the initial velocity of ball A, /? c. What is the ratio of the final energy of the system to the initial energy of the system, /? Is the collision elastic or inelastic?​

Answers

The angle above the horizontal of the motion of mass A + B after the collision. as well as others are mathematically given as

[tex]\theta f = 26.3 \deg[/tex]vf/vA= 0.942vf^2 / 5vA^2 = 0.35

What is  Collison equilibrium?

According to the collision hypothesis of chemistry, chemical reactions happen when two molecules or atoms collide.

Generally, the equation for Collison equilibrium is  mathematically given as

For horizontal motion

mvAx+m2vAx = 2mvfx

For vertical motion

-mvAy+m2vAy = 2mvfy

vfy = 1/2 vAy

[tex]\tan \theta f = vfy/vfx \\\\\tan \theta f = 1/3 vAy/vAx \\\\\tan \theta f = vAy/vAx \\\\\theta f = tan-1 ( 1/3 tan (56) )\\\\[/tex]

[tex]\theta f = 26.3 \deg[/tex]

(b)

[tex]v fy = vf sin \theta f\\\\vAy = vA sin theta i\\\\vf/vA = vfy/vAy sin( \theta i)/sin(\theta f)\\\\vf/vA = 1/2 sin(56)/sin(26.3) \\\\[/tex]

vf/vA= 0.94

(c)

[tex]Ef/Ei = \frac{(1/2 * (2m) * (vf)^2) }{ (1/2 * m * (vA)^2) + 1/2*m*(2vA)^2) ]}[/tex]

2vf^2 / 5vA^2 = 0.35

In conclusion, The angle above the horizontal of the motion of mass A + B after the collision. as well as others

[tex]\theta f = 26.3 \deg[/tex]

vf/vA= 0.94

2vf^2 / 5vA^2 = 0.35

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A uniform rod with a mass of m = 1.94 kg and a length of l = 2.10 m is attached to a horizontal surface with a hin ge. The rod can rotate around the hin ge without friction.
Initially the rod is held at rest at an angle of θ = 70.4° with respect to the horizontal surface. Then the rod is released.
1. What is the angular speed of the rod, when it lands on the horizontal surface?
2. What is the angular acceleration of the rod, just before it touches the horizontal surface?

Answers

Hello!

1.

To solve, we can use the work-energy theorem.

Initially, the rod is at rest. Its center of mass is some height above the surface, so it contains gravitational potential energy.

Finally, the rod has rotational kinetic energy.

To find the initial energy, we have to find where the center of mass is. It is located at the midpoint of the rod, or l/2. To find its height above, though, we have to find its sine component with respect to the angle:
[tex]E_i = mg{\frac{l}{2}}}sin(\theta)[/tex]

Its final energy:
[tex]E_f = \frac{1}{2}I\omega^2[/tex]

About the pivot point, a rod's moment of inertia (I) is 1/3ml².

[tex]E_f = \frac{1}{2}(\frac{1}{3}ml^2) = \frac{1}{6}ml^2\omega^2[/tex]

Now, solving for angular speed:

[tex]E_i = E_f\\\\mg\frac{l}{2}sin\theta = \frac{1}{6}ml^2 \omega^2\\\\3gsin\theta = l\omega^2 \\\\\omega = \sqrt{\frac{3gsin\theta}{l}}[/tex]

Plugging in the values and solving:
[tex]\omega = \sqrt{\frac{3(9.8)sin(70.4)}{2.1}} = \boxed{3.63 rad/s}[/tex]

2.

Let's determine where to place our pivot point. To minimize the number of torques to take into account, let's put the pivot point at the base of the rod.

Now, the only torque we must consider is that produced by the force of gravity.

Recall the equation for torque:
[tex]\tau = r \times F[/tex]

This is a cross-product, where 'r' is the lever arm of the force. This is the perpendicular distance between the line of action of the force and the pivot point.

In this instance, based on our reference angle, this would be the COSINE.

[tex]\tau = rFcos\theta[/tex]

r = distance from pivot point to center of the rod (1.05 m)

F = Force of gravity, mg (19.03 N)

θ = angle of rod from horizontal

Using the rotational equivalent of Newton's Second Law:
[tex]I\alpha = rFcos\theta[/tex]

'I' is the rod's moment of inertia about the pivot point. For a uniform rod, its moment of inertia at its end is 1/3ml².

Therefore:
[tex]I = \frac{1}{3}(1.94)(2.1^2) = 2.85 kgm^2[/tex]

Now, we can solve for the function for angular acceleration.

[tex]\alpha(\theta) = \frac{rF}{I}cos\theta\\\\\alpha(\theta) = \frac{(1.05)(19.03)}{2.85}cos\theta = 7cos\theta[/tex]

This is the angular acceleration of the rod as a function of theta.

Substituting in θ = 0°:
[tex]\alpha(0) = 7cos(0) = \boxed{7 rad/s^2}[/tex]

**Note, we couldn't just use rotational kinematics because the angular acceleration is NOT constant.

Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.56 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.2 mm. If the floor is carpeted, this stopping distance is increased to about 1.3 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. Answer the following:
1.hardwood floor magnitude
2.hardwood floor duration
3.carpeted floor magnitude
4.carpeted floor duration

Answers

This question is health related and seeks to compute the details surrounding a traumatic head injury. See the explanation below.

What is a traumatic head injury?

Traumatic brain injury (TBI), a form of acquired brain injury, occurs when a sudden trauma causes damage to the brain.

TBI can result when the head suddenly and violently hits an object, or when an object pierces the skull and enters brain tissue

What are the details surrounding the head injury?

Final velocity before hitting the ground

V² = 2g*0.56

V² = 2 * 9.8 * 0.56

V = √10.976

V = 3.312 m/s

*** Note that g which is the acceleration of gravity is about 9.8 meters.

1a) Where there is a hardwood floor

-u^2 = -2as

a = 3.312^2/2*0.0019

a = 1,042.08 m/s^2

1b) Duration

t = u/a

= 3.312/1,042.08

t = 3.18 ms

2a) Where there is a carpet on the floor

a = 3.312^2/2*0.013

a = 713.01 m/s^2

t = u/a

=  3.312/713.01

t = 4.65 ms

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An object has a weight of 9 n when it is in air and 7.2 n when it is submerged into water. what is the specific gravity of the object’s material?

Answers

The specific gravity of the object’s material is 5.09.

To calculate the specific gravity of the object:

Weight difference = 9 - 7.2 = 1.8 N = Buoyant force of water

Buoyant Force in water(Fb) = density of water x g x volume of the   body(Vb)

1.8 = 1000 x 9.81 x Vb

Vb = 1.8/9810 cubic meter

Now, in the air;

Weight of body = mg = 9 N

Mass of body,m = 9/9.81 Kg

So,

Density of body = m/ Vb

= 9/9.81 ÷ 1.8/9810

= 5094.44 kg per cubic meter

The specific gravity of body = density of body ÷ density of water

= 5094.44 ÷ 1000

= 5.09

Therefore, Specific gravity of body = 5.09

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How is Behaviorism and Psychoanalysis theories are different?

Answers

Answer:

Behaviorists give prominence to the external behavior of individuals and believe that behavior is a response to external stimuli. On the other hand, psychoanalysis emphasizes the centrality of the human mind. They believe that the unconscious has the potential to motivate behavior.

Explanation:

Answer: Behaviorists give prominence to the external behavior of individuals and believe that behavior is a response to external stimuli. On the other hand, psychoanalysis emphasizes the centrality of the human mind. They believe that the unconscious has the potential to motivate behavior.

Explanation:

What is the equivalent resistance of a circuit that contains three 10.0 Ω
resistors connected in series to a 6.0 V battery?

Ο A. 0.600 Ω
Ο Β. 60.0 Ω
Ο C. 16.0 Ω
Ο D. 30.0 Ω

Answers

Question :

What is the equivalent resistance of a circuit that contains three 10.0 Ω resistors connected in series to a 6.0 V battery?

Options given :

A. 0.600 ΩΒ. 60.0 ΩC. 16.0 ΩD. 30.0 Ω

Solution :

As we know that,

When a circuit is connected in series resistance is calculated by :

Rs = R1 + R2 + R3 .... Rn

Here,

R is resistance

As a circuit contains three resistors. So R1 , R2 and R3 would be :

R1 = 10 ΩR2 = 10 ΩR3 = 10 Ω

Now,

>> Rs = 10 + 10 + 10

>> Rs = 30 Ω

Therefore,

Option D is correct.

The equivalent resistance in the circuit is 30.0 Ω. The correct option is D.

What is Ohm's law?

Ohm's law is a fundamental principle of electric circuits that describes the relationship between electric current, voltage, and resistance. It states that the electric current flowing through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them.

Mathematically,

V = IR

Where V = is the voltage across the conductor in volts (V),

I =  is the electric current flowing through the conductor in amperes (A),

R =is the resistance of the conductor in ohms (Ω).

This relationship can also be expressed in terms of power, using the formula:

P = VI

Where P = is the power in watts (W),

V = is the voltage in volts (V),

I = is the current in amperes (A).

Ohm's law is named after the German physicist Georg Simon Ohm, who first published it in 1827 as a result of his experiments with electric circuits. Ohm's law is widely used in electrical engineering and is essential for understanding and designing electronic devices and circuits.

Here in this question,

The equivalent resistance of resistors in series is the sum of their individual resistances.

Now, the equivalent resistance of three 10.0 Ω resistors connected in series is:

Req = R1 + R2 + R3

Req= 10.0 Ω + 10.0 Ω + 10.0 Ω

Req= 30.0 Ω

Using Ohm's law, we can find the current flowing through the circuit:

I = V/R

= 6.0 V/30.0 Ω

I = 0.2 A

Therefore, the equivalent resistance of the circuit is 30.0 Ω (Option D).

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An aircraft, initially stationary on a runway, takes off with a speed of 85 km h¹ in a distance of no
more than 1.20 km.
What is the minimum constant acceleration necessary for the aircraft?
A 0.23ms-²
B 0.46ms ²
C 3.0ms ²
D 6.0m

Answers

Answer:

A. 0.23 ms⁻²

Explanation:

Using the equation:

v² = u² + 2as

where:

v = final velocity (85 kmh⁻¹  =  85 x 0.278 = 23.6 ms⁻¹)

u = initial velocity (0 ms⁻¹)

a = acceleration (? ms⁻²)

s = displacement (1.20 km  =  1.2 x 1000  =  1200 m),

[tex](23.6)^2 = (0)^2 + 2 (a) (1200)[/tex]

⇒ [tex]a = \frac{23.6^2}{2(1200)}[/tex]

a = 0.23 ms⁻²

During the 2020 general election, GOP incumbent Donald Trump is once again successful in his bid for the presidency. Mr. Trump amasses 307 electoral votes compared to the 231 electoral votes Beto O'Rourke, the Democratic candidate, received. Following a selective state recount of the presidential election results, poll workers discover that Green Party Candidate Jill Stein actually won the popular vote in Pennsylvania, Michigan and Wisconsin, resulting in a deduction of 47 electoral votes from the GOP incumbent Donald Trump’s total. As a result of the deduction Mr. Trump now possesses 260 electoral votes. The recount also reveals a loss of two electoral votes to O'Rourke due to the non-votes by two faithless electors in Florida. O'Rourke’s final number now rests at 229 electoral votes. What would be the next step(s) in deciding which candidate becomes the next President of the United States?

Answers

The final number in steps is 229 electoral votes

The election would be given to the members of the House of Representatives who would be able to select either O'Rourke, or Trump only, because they were the only candidates who received more than 15% of the available electoral votes.

What is the role of house of representative?

The house of representatives are those that has been given the authority to make and pass federal laws.

They are supposed to handle and mischief during elections that may affect the process on order to ascertain the rightful leader.

From the excerpt given, since a recount of the votes where made and the three parties involved had a miscount, the final decision should be made by the house of representatives.

This is because, the house of representatives has the authority to elect the president from the three presidential candidates that received the highest votes.

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Question 4
Newton's first law of motion is also known as the law of inertia. Which of the following BEST
describes inertia?
Inertia depends on an objects mass and velocity
Objects at rest stay at rest until an outside force acts on them
An unbalanced force causes an object to move
An object's tendency to resist change in motion

Answers

Answer:

It is the tendency

of an object to resist any change in its state of motion .

Explanation:

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A car moves with an average speed of 75 kmh^-1 from town P to town Q in 2 hours. By using information, you may calculate the distance between two towns. state a derived quantity and its S.I unit​

Answers

Answer:

patron

Explanation:

 The patron is something or someone who defends some cause or point of view. In the art field, for example, the patron may be considered a sponsor, that is, someone who is known for defending a particular group of people or specific situation.

  The patron is one who advocates, advises and directs. In the military, patrons are heroic figures who are chosen to defend a military unit, for example.

Explanation:

patron

Explanation:

 The patron is something or someone who defends some cause or point of view. In the art field, for example, the patron may be considered a sponsor, that is, someone who is known for defending a particular group of people or specific situation.

  The patron is one who advocates, advises and directs. In the military, patrons are heroic figures who are chosen to defend a military unit, for example.

Distance = speed * time,
D = (75)(2)
D = 150 km.
Therefore, the distance between town p and town q is 150 km.

Which action will cause the magnetic force to push two magnets closer together?

Answers

The action that will cause the magnetic force to push two magnets closer together: is that of attraction which happens when opposite poles of the magnets approach.

Meaning of magnetic force

magnetic force can be defined as the effect that is felt by magnetic objects that causes attraction and repulsion.

A magnetic force attracts two magnets when they are in opposite poles and repels them if they are in the same pole.

In conclusion, The action that will cause the magnetic force to push two magnets closer together: is that of attraction which happens when opposite poles of the magnets approach.

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A block of mass M=10 kg is on a frictionless surface as shown in the photo attached. And it's attached to a wall by two springs of the same constant K= 250 N/m, then the block is pulled a distance A and released. What's the speed V and angular velocity w of the block as it passes through the equilibrium when the two springs are arranged in:
a) parallel
b) series

Answers

a.

i. the speed of the block of mass when the springs are connected in parallel is 7.07 A m/sii. the angular velocity when the two springs are in parallel is 7.07 rad/s

b.

i. the speed of the block of mass when the springs are connected in series is 11.2 A m/sii. the angular velocity when the two springs are in series is 11.2 rad/s

a. i. How to calculate the velocity of the mass when the springs are connected in parallel?

Since k is the spring constant of both springs = 250 N/m. The equivalent spring constant in parallel is k' = k + k

= 2k

= 2 × 250 N/m

= 500 N/m

Now since A is the maximum distance the block is pulled from its equilibrium position, the total energy of the block is E = 1/2kA

Also, 1/2k'A² = 1/2k'x² + 1/2Mv² where

k' = equivalent spring constant in parallel = 500 N/m, A = maximum displacement of spring, x = equilibrium position = 0 m, M = mass of block = 10 kg and v = speed of block at equilibrium position

Making v subject of the formula, we have

v = √[k'(A² - x²)/M]

Substituting the values of the variables into the equation, we have

v = √[k'(A² - x²)/M]

v = √[500 N/m(A² - (0)²)/10]

v = √[50 N/m(A² - 0)]

v = [√50]A m/s

v = [5√2] A m/s

v = 7.07 A m/s

So, the speed of the block of mass when the springs are connected in parallel is 7.07 A m/s

ii. The angular velocity of mass when the springs are in parallel

Since velocity of spring v = ω√(A² - x²) where

ω = angular velocity of spring, A = maximum displacement of spring and x = equilbrium position of spring = 0 m

Making ω subject of the formula, we have

ω = v/√(A² - x²)

Since v = 7.07 A m/s

Substituting the values of the other variables into the equation, we have

ω = v/√(A² - x²)

ω = 7.07 A m/s/√(A² - 0²)

ω = 7.07 A m/s/√(A² - 0)

ω = 7.07 A m/s/√A²

ω = 7.07 A m/s/A m

ω = 7.07 rad/s

So, the angular velocity when the two springs are in parallel is 7.07 rad/s

b. i. How to calculate the velocity of the mass when the springs are connected in series?

Since k is the spring constant of both springs = 250 N/m. The equivalent spring constant in parallel is 1/k" = 1/k + 1/k

= 2/k

⇒ k" = k/2

k" = 250 N/m ÷ 2

= 125 N/m

Now since A is the maximum distance the block is pulled from its equilibrium position, the total energy of the block is E = 1/2kA

Also, 1/2k"A² = 1/2k"x² + 1/2Mv'² where

k" = equivalent spring constant in series = 125 N/m, A = maximum displacement of spring, x = equilibrium position = 0 m, M = mass of block = 10 kg and v' = speed of block at equilibrium position

Making v subject of the formula, we have

v = √[k"(A² - x²)/M]

Substituting the values of the variables into the equation, we have

v = √[k"(A² - x²)/M]

v = √[125 N/m(A² - (0)²)/10]

v = √[125 N/m(A² - 0)]

v = [√125]A m/s

v = [5√5] A m/s

v = 11.2 A m/s

So, the speed of the block of mass when the springs are connected in series is 11.2 A m/s

ii. The angular velocity of the mass when the springs are in series

Since velocity of spring v = ω√(A² - x²) where

ω = angular velocity of spring, A = maximum displacement of spring and x = equilbrium position of spring = 0 m

Making ω subject of the formula, we have

ω = v/√(A² - x²)

Since v = 11.2 A m/s

Substituting the values of the other variables into the equation, we have

ω = v/√(A² - x²)

ω = 11.2 A m/s/√(A² - 0²)

ω = 11.2 A m/s/√(A² - 0)

ω = 11.2 A m/s/√A²

ω = 11.2 A m/s/A m

ω = 11.2 rad/s

So, the angular velocity when the two springs are in series is 11.2 rad/s

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The unknown quantities to be determined are (a) the capacitive reactance, (b) the maximum and the rms voltages from the source, and (c) the rms current in the capacitor.

Evaluate the capacitive or inductive reactance, XC or XL.

The unknown quantity to be determined in part (a) is the circuit's capacitive reactance
XC defined as
XC ≡ 1/2fC
,
where, in this problem, C = 4.48 F and the AC source frequency f must be determined.

What is the frequency f of the AC source?

Answers

The frequency f of the AC source is determined as 0.446 Xc.

Frequency of the AC source

The frequency of the AC source is calculated as follows;

Xc ≡ 1/2fC

where;

Xc is the capacitive reactancef is frequencyC is capacitance

fC = 2Xc

f = 2Xc / C

f = (2Xc)/4.48

f = 0.446 Xc

Thus, the frequency f of the AC source is determined as 0.446 Xc.

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How much time is required for a sound to travel 1 mile (5,280.0 ft) if the air temperature is 0°C?

Answers

The time is required for a sound to travel 1 mile (5,280.0 ft) if the air temperature is 0°C is 4.85 sec.

What is velocity?

Velocity is largely a vector quantity. It is the fee of alternate distance. The speed of an item transferring can by no means be negative. The pace of a transferring item may be zero.

The velocity of sound waves at zero degrees Celsius is 1087 ft/sec.

Velocity = Distance/Time

Time= Distance/Velocity

The distance to be traveled by sound is 5280 ft

The velocity of sound is 1087 ft/sec

Time = 5280 ft/ 1087 ft/sec

Time = 4.85 sec.

The time required by sound to travel 1 mile at zero degrees Celsius is 4.85 sec.

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Water is being heated in a closed pan on top of a range while being stirred by a paddle wheel.
During the process, 30 kJ of heat is transferred to the water, and 5 kJ of heat is lost to the
surrounding air. The paddle-wheel work amounts to 500 N · m. Determine the final energy of
the system if its initial energy is 10 kJ.

Answers

Heat transfer in a closed system is the addition of changes in internal energy and the total amount of work done by it.  The final energy of the system is 35.5kJ.  

What is heat transfer?

Heat transfer is the transfer of heat energy due to temperature differences.

The paddle-wheel paintings are quantities of workdone, 500 N.m or 0.5kJ.

The preliminary (initial) power of the device is 10 kJ.

Total warmness transferred in the course of the method is 30 kJ

Total warmness misplaced in the course of the method to the encompassing air is 5 kJ.

The energy of the system is given as:

The energy of the system = Energy in - Energy out

The energy of the system = Initial energy + Energy transferred + Work done - Energy lost

Energy of the system = 10 + 30 + 0.5 - 5 kJ

Energy of the system = 35.5 kJ

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A boat moves through the water with two forces acting on it. One is a 1,800-N forward push by the water on the propeller, and the other is a 1,200-N resistive force due to the water around the bow.
(a) What is the acceleration of the 1,400-kg boat?
0.25
m/s 2

(b) If it starts from rest, how far will the boat move in 20.0 s?
m

(c) What will its velocity be at the end of that time?
m/s

Answers

(a)The acceleration of the 1,400-kg boat will be 0.425 m/sec²

(b) If it starts from rest, the distance through which the boat moves in 20.0 s will be 85 m.

(c)Velocity at the end of that time will be 8.5 m/sec.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

Given data;

Forwad force acting on the boat,v₁ = 1,800-N

Resistive force acting on the boat,v₂ = 1,200-N

The acceleration of the boat,a

Mass of boat,m = 1,400-kg

Initial velocity of boat,u= 0 m/sec

Distance travelled by boat,S = ?

Time for the boat travels,t = 20.0 s

Final velocity,V = ? m/sec

The net force on the boat;

F = F₁ - F₂

F = 1800 N - 1200 N

F = 600 N

From the defination of force;

F= ma

a = F / m

a = 600 N / 1400 kg

a = 0.425 m/sec²

b)

The distance through which the boat moves is 20.0 s;

[tex]\rm x_f = x_ 0 + v_0 t + \frac{1}{2} at^2 \\\\ x_f = \frac{1}{2}at^2 \\\\ x_f = 0+0 + \frac{1}{2} at^2 \\\\ x_f = \frac{1}{2}\times 0.425 \times (20 )^ 2 \\\\ x_f = 85 \ m[/tex]

c)

The velocity at the end of that time is found as;

[tex]\rm v_f = v_ 0 + at \\\\ v_f =- 0+ at \\\\ v_f = 8.5[/tex] m/sec

Hence the acceleration of the boat, the distance through which the boat moves in 20.0 s, and velocity at the end of that time will be 0.425 m/sec²,85 m, and 8.5 m/sec.

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A Skier starting from rest rolls down a 35.0 m ramp. When he arrives at the bottom of the ramp his speed is 10.43 m/s. (a) Determine the magnitude of his acceleration, assumed to be constant, (b) If the ramp is inclined at 60.0 degrees with respect to the ground, what is the component of his acceleration that is parallel to the ground. (c) Provide me with a free body diagram, one for the 35 m ramp situation. Also, provide a nice sketch of the skier.

Answers

We obtain the magnitude of the acceleration as   1.55 m/s^2 while its component parallel to the ground is 0.775  m/s^2.

What is acceleration?

The acceleration refers to change of speed with time. From the question;

distance covered = 35.0 m final velocity = 10.43 m/s

It the follows that;

v^2 = u^2 + 2as

And;

u = 0m/s  owing to the fact that motion started from rest

v^2 = 2as

a = v^2/2s

a = (10.43 m/s)^2/2 * 35.0 m

a = 1.55 m/s^2

For the acceleration component which is parallel to the ground;

ax = a sin θ

ax =  1.55 m/s^2 cos 60

ax = 0.775  m/s^2

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How do hydrogen bonds affect boiling points?

Answers

Boiling points are raised by hydrogen bonds because they make different molecules desire to "attach" to one another, which requires more energy to do so. In water, for instance, the hydrogen proton is in a state that resembles ionization because the connections between oxygen and hydrogen, while covalent, are strongly polar. The oxygen also receives a partial negative charge. Therefore, hydrogen bonds are formed when the electro-positive H in one molecule is strongly electrostatically attracted to the electro-negative O in nearby molecules. Despite being weak links, they are powerful enough to significantly alter the liquid's characteristics.  

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A charge of 5.4 C experiences a force of 25.0 in an electric field. What is the strength of electric field at that point ? If the 5.4 C is replaced by a charge of half the magnitude, 2.7 C, how much force would this charge experience at that point ? Remember to identity all of your data, write the equation, and show your work. (5 points)

Answers

The strength of the electric field at that point and the force would this charge experiences at that point will be 4.587 N/C and  12.38 N.

What is the electric field strength?

The electric field strength is defined as the ratio of electric force to charge.

Given data;

q₁ = 5.4 C

F₁ is the electric force in case1

E is the electric field =?

F₂ is the electric force in case 2

q₂ is the charge 2

The strength of the electric field at that point is;

F₁=Eq₁

E₁=F/q₁

E₁=25.0 N / 5.4 C

E₁=4.587 N/C

The force would this charge experience at that point when the charge is 2.7 C;

F₂=Eq₂

F₂=4.587 N/C × 2.7 C

F₂ = 12.38 N

Hence the strength of the electric field at that point and the force would this charge experiences at that point will be 4.587 N/C and  12.38 N.

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By what percent does the braking distance of a car decrease, when the speed of the car is reduced by 10.3 percent? Braking distance is the distance a car travels from the point when the brakes are applied to when the car comes to a complete stop. (Hint: the answer is not 10.3 percent)

Answers

The percent of the braking distance is mathematically given as

P=91.5128%

What percent does the braking distance of a car decrease, when the speed of the car is reduced by 10.3 percent?

Generally, the equation for is  mathematically given as

V^2=U^2+2as

Therefore

V^2=u^2+2(-a)s

[tex]s=\frac{u^2}{-2a}[/tex]

Hence.

u'=u-u×0.103

u'=0.206u

v^2=u^2+2as

0=(0.206)^2+2(-a)s'

Hence

[tex]s'=\frac{0.042436u^2}{a}[/tex]

In conclusion,The reduction percentage is

[tex]P=\frac{s-s'}{s}*100\\\\P=\frac{(\frac{u^2}{-2a})-(\frac{0.042436u^2}{a} )}{ \frac{u^}{-2a}}*100\\\\P=\frac{(0.5-0.042436 )}{ 0.5}*100[/tex]

P=91.5128%

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Imagine that the Earth's size shrunk by a factor of 5.70 from a radius of 1120 km to a radius of 6370 km. However, Earth's mass has remained the same at 5.98×1024 kg. If a person's mass is 80.7 kg, calculate their weight before and after Earth's shrinkage in Newtons and pounds

Answers

The weight of the person in the first case is 25759.44 N while in the second it is 790.86 N.

What is weight?

Weight is the product of mass and acceleration due to gravity. We have to find the acceleration due to gravity in both cases.

g = GM/r^2

g1 = 6.67 × 10^−11 m3 kg−1 s−2 * 5.98×10^24 kg/(1120 * 10^3 m)^2

g1 = 3.99 * 10^14/1.25 * 10^12

g1 = 319.2 m/s^2

g2 = 6.67 × 10^−11 m3 kg−1 s−2 * 5.98×10^24 kg/( 6370  * 10^3 m)^2

g2 = 3.99 * 10^14/4.06 * 10^13

g2 = 9.8 m/s^2

The weight of the person in the first case is;  80.7 kg * 319.2 m/s^2

= 25759.44 N

The weight of the person in the second case is; 80.7 kg *  9.8 m/s^2

= 790.86 N

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How much did mary pay in social securty taxes

Answers

The amount that Mary will pay in social security taxes will be $1550.

How to compute the value?

It should be noted that the current tax for the social security is 6.2% for the employer and 6.2% for the employee.

In this case, let's assume that the income for Mary is $25000, the amount that Mary will pay will be:

= 6.2% × $25000

= 0.062 × $25000

= $1550

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A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given:50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45Which of the following histograms is the best representation of the data?a.A histogram with frequency on the x-axis and ages on the y-axis. 20 to 24, 2; 25 to 29, 2; 30 to 34, 5; 35 to 39, 4; 40 to 44, 5; 45 to 49, 5; 50 to 54, 1; 55 to 59, 1.b.A histogram with frequency on the x-axis and ages on the y-axis. 20 to 24, 4; 25 to 29, 1; 30 to 34, 6; 35 to 39, 2; 40 to 44, 5; 45 to 49, 5; 50 to 54, 3; 55 to 59, 4.c.A histogram with ages on the x-axis and frequency on the y-axis. 20 to 24, 2; 25 to 29, 2; 30 to 34, 5; 35 to 39, 4; 40 to 44, 5; 45 to 49, 5; 50 to 54, 1; 55 to 59, 1.d.A histogram with ages on the x-axis and frequency on the y-axis. 20 to 24, 4; 25 to 29, 1; 30 to 34, 6; 35 to 39, 2; 40 to 44, 5; 45 to 49, 5; 50 to 54, 3; 55 to 59, 4.Please select the best answer from the choices providedABCD Graph the set x-6 x < -2} on the number line.Then, write the set using interval notation. How many atoms are present in 8.78 grams O2? When attracting new clients, which of the following is the most effective way for a trainer to find new prospects? Post on social media Hand out flyers at the grocery store Get referrals from clients Hire an advertising firm A garden table and a bench cost 735 combined. The garden table costs 35 more than the bench. What is the cost of the bench? The perimeter of a square field is 336 yards. How long is each side? What is the distance between the points (3, 6) and (4, 2)?Select the best answer from the choices provided.A. 113B. 65C. 50D. 17 Which of the following is a safety precaution to take in order to avoid wildlife?A. Make plenty of noise.B. Do not wear anything scented.C. Stay away from food and water sources.D. All of the above. Polonium-208 is an alpha emitter with a half-life of 2.90 years. How many milligrams of polonium from an original sample of 2.00 mg will remain after 8.00 years What is the volume of the box if it is scaled down by a factor of 1/10?V= 308 35/64 A researcher designed an experiment to determine whether being ignored by other people during a conversation affects the motivation to interact. In this study, the independent variable is In the tradeoff between freedom, order, and equality, ____________ favor freedom the most, while _____________ favor equality the most. A handball of mass 0.10 kg, traveling horizontally at 30 m/s, strikes a wall and rebounds at 24 m/s. What is the change in the momentum of the ball The force of gravity, just as all forces, is an action on an object. Forces appear due to the interactions between pairs of objects. Therefore, for the force of gravity to act on a falling object, there should be another object that, in a sense, is creating that force. Which object is responsible for creating the force of gravity observed on falling objects The movement to fix the problems that resulted from industrialism is calledA. the Open Door.B. progressivism.C. idealism.D. Socialism. The actual half-life of amoxicillin is about 62 minutes. Recall that half-life is the amount of time it takes for a substance to decay to half of its original amount. How long after Haidar gives Aldi his last dose of medication will it take before the amount of medication in Aldi's bloodstream is effectively 0? Describe how you determined your solving method. Using the unique pythagorean triple 5 12 13 as a guide, what is the missing number from the triple x, 48, 52? Candice is managing the recruitment process for open positions at her law firm. What is the best way for Candice to identify a pool of qualified applicants 17. A chef mixed 4.85 lb of white rice with twice as many pounds of brown rice. She then cooked half the amount of the mixed rice. How many pounds of mixed rice did she cook? Give your answer correct to 2 decimal places. How many liters are in 21 cups