A rope pulls a 72.5 kg skier upa 21.7°slope with /k = 0.120.The rope is parallel to the slope,and exerts a force of 383 N. What isthe acceleration of the skier?(Unit = m/s?)Enter

The true statement is the vertical component of the velocity is half of the magnitude of the velocity.

The vertical component of a velocity is the velocity of the object acting along vertical direction.

The vertical component of the velocity acting along the vertical direction is calculated as follows;

Vy = V sinθ

where;

Substitute the value of the angle of projection and evaluate the vertical component of the velocity.

Vy = V sin(30)

Vy = V(0.5)

Vy = ¹/₂V.

Thus, the vertical component of the velocity is half of the magnitude of the velocity.

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The complete question is below

A projectile is thrown at an angle 30° from horizontal. Which statement about its vertical component of velocity is true?

The angle θ made by the rope with the box is equal to 25.17 degrees.

If the rope is pulled at an angle A and the tension in the rope was T, then the rope will have two components of forces,

One Vertical which is TsinA and one along horizontal which is TcosA,

And we know,

W = F.s.cosα

Where,

F is the force applied,

s is the Displacement along force,

α is the angle between them,

We know, the box is moving forward, so the angle between the vertical component of tension and displacement is 90 degrees, so the vertical component of tension will not do any work, and the angle between displacement and the horizontal component is 0 degrees,

So, the work done by the horizontal component is 0 degrees,

So, we cam write,

W = TcosA.D

where D is the displacement of the box, which is given to be 23m,

T is the tension in the string which is 120N,

W is the work done by the rope on the box which is 25000J,

so, putting all the values,

2500 = 120.cosA.23

cosA = 2500/120x23

cos A = 0.9

So, A is 25.17 degrees.

The angle made by the rope is 25.17 degrees,

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Answer:

Explanation:

We would consider the kilowatt hour for both bulbs. It is the energy consumed by an appliance per hour.

Recall, 1 kw = 1000w

15w = 15/1000 = 0.015 kw

60w = 60/1000 = 0.06kw

In 1 hour,

1)

The 15 W bulb would consume 0.015 kw.

For 10 hours per day, the consumption is 0.015 x 10 = 0.15kw

For a month of 30 days, the consumption is 0.15 x 30 = 4.5

Let's assume that the charge per KW is $0.2

Consumption cost per month = 0.2 x 4.5 = $0.9 per month

2)

The 60 W bulb would consume 0.06 kw.

For 10 hours per day, the consumption is 0.06 x 10 = 0.6kw

For a month of 30 days, the consumption is 0.6 x 30 = 18

Let's assume that the charge per KW is $0.2

Consumption cost per month = 0.2 x 18 = $3.6 per month

Thus, the 15W bulb would be an overall money saver as time goes on.

The process of charging a capacitor consists of transferring charge from the plate at lower potential to the plate at higher one (higher potential).

When a battery is connected in series with a resistor and capacitor, a large initial current flows when the battery moves charge from one capacitor plate to the other. As the capacitor charges to the battery voltage, the charging current asymptotically decreases until it is zero.

Therefore, a unidirectional flow of electric charge is known as direct current. When the voltage from the power source matches the voltage at the capacitor terminals, the capacitor is fully charged. When the electrical circuit's current stops flowing, the charging phase of the capacitor is complete.

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a)The kinetic energy is  7425 J.

b) Theight at which the bicycle starts is 1147 m.

For the given problem, we are dealing with kinetic and potential energy, where Kinetic energy is the energy an object has since its movement. On the off chance that we need to accelerate an object, at that point we must apply a force. Applying a force requires us to do work. After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed,However when its position is modified from its regular equilibrium position, the bow is able to store energy by virtue of its position. This put-away energy of position is alluded to as potential energy. Potential energy is the stored energy of position had by an object.

Since we were given a mass which is 66 kg and a velocity of 15 m/s

Since the formula of kinetic energy is:

K.E=  (1/2)mv², where m is the mass of the object  and v is the velocity of the object moving .

= 1/2 (66)(15 m/s)²

=7425 J

For the second part the kinetic energy is converted to the potential energy, so the formula for the potential energy is

P.E = mgh, where m is the mass , g is the acceleration due to gravity and h is the height at which the object.

=7425 J =mgh

=>h= 7425/(mg)

=>h =7425/66*15

=>h =11.47 m

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We will have that the magnification will be given by:

That is:

So, the magnification is approximately -0.667.

The change in the reservoir, the system or device, and the surroundings are added to determine the overall entropy change. The reservoir's entropy change is. Since entropy is a function of state and we are contemplating a complete cycle (return to initial state), the device's entropy change is zero.

For finite variations at constant T, entropy changes (S) are calculated using the relation G=ΔH - TΔS.

The generation, consumption, conversion, and exchange of thermal energy across physical systems is the focus of the thermal engineering field of study known as heat transfer. Different heat transmission techniques, including thermal conduction, thermal convection, thermal radiation, and energy transfer by phase changes, are categorized.

Conduction is the process through which heat is transported from an object's hotter end to its colder end. Heat naturally transfers from a hotter body to a colder body.

For instance, heat is transferred from the hotplate of an electric stove to the bottom of a saucepan that comes into touch with it.

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The buoyant force if the box was completely submerged is 93.84 N.

The length of the box is 40.8 cm.

The height of the box is 10.4 cm and the depth of the box is 19 cm.

Now we know,

1 m = 100 cm

So,

1 cm = 0.01 m

Therefore,

Length, L = 40.8 cm = 40.8 × 0.01 = 0.408 m

Height, H = 10.4 cm = 10.4 × 0.01 = 0.104 m

Depth, D = 19 cm = 19 × 0.01 = 0.19 m

The density of the fluid is 1187 kg/m³.

ρ = 1187 kg/m³ = 1187 × 10³ g/m³

The mass of the box, m = 2325.4 g

The maximum buoyant force will be:

F = ρgV

Here g = 1 g cc

Therefore,

F =  1187  × 1 × ( 0.408 × 0.104 × 0.19 )

F = 93.846590 N

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magnification and resolution compare between electron and light microscopes by they produce an photograph of a specimen with the aid of using the usage of a beam of electrons instead of a beam of mild.

Electron microscopes range from mild microscopes in that they produce an photograph of a specimen with the aid of using the usage of a beam of electrons instead of a beam of mild. Electrons have a whole lot a shorter wavelength than seen mild, and this lets in electron microscopes to supply higher-decision photos than popular mild microscopes. Electron microscopes may be used to observe now no longer simply complete cells, however additionally the subcellular systems and cubicles inside them.

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Answer:

Taking into account the table we get that, for n = 2, the velocities of sound waves are

Velocity on air: 267.3 m/s

Velocity on helium: 260 m/s

Velocity of carbon dioxide: 829.3 m/s

The velocity of the sound travels at different speeds in each gas because the velocity depends on the properties of the medium like the density. Since the air, helium, and carbon dioxide have different densities, the sound speed will be different.

The magnetic dipole moment of the current loop is  0.025 Am².

The magnetic torque on the loop is 2.5 x 10⁻⁴  Nm.

The magnetic dipole moment of an object, is the measure of the object's tendency to align with a magnetic field.

Mathematically, magnetic dipole moment is given as;

μ = NIA

where;

μ = (1) x (25 A) x (0.001 m²)

μ = 0.025 Am²

The magnetic torque on the loop is calculated as follows;

τ = μB

where;

B = √(0.002² + 0.006² + 0.008²)

B = 0.01 T

τ = μB

τ =  0.025 Am² x 0.01 T

τ = 2.5 x 10⁻⁴  Nm

Thus, the magnetic dipole moment of the current loop is determined from the current and area of the loop while the magnetic torque on the loop is determined from the magnetic dipole moment.

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Given:

The initial speed of the football is: vi = 0 m/s (as initially, the football is at rest)

The final speed of the football is: vf = 13 m/s

The time for which the football accelerates is: t = 0.24 s

The mass of the football is: m = 0.49 kg

To find:

The force exerted on the ball

Explanation:

The acceleration of the ball can be determined by using the following equation.

Substituting the values in the above equation, we get:

The force exerted by the punter on the ball can be determined by using Newton's second law of motion.

According to Newton's second law of motion,

Substituting the values in the above equation, we get:

Final answer:

The force exerted by the punter on the ball is 26.54 Newtons (N).

Explanation

Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects.

where k is the coulomb constant

Step 1

let

now, replace.

I hope this helps you

We have:

m = mass = 0.77 kg

t = time = 2.9 ms = 0.0029 s

vf = final speed = 15.5 m/s

vi= initial speed = 0 m/s

Apply:

• F = m (vf-vi) / t

Replacing:

F = 0.77 (15.5 - 0 )/0.0029

F= 4,155.5 N

When a polythene rod is rubbed with a dry cloth, the dry cloth loses electrons, the polythene rod gains electrons and the dry cloth is left with positive charge.

The electrons on the dry cloth's surface move to the polyethene rod when it is brushed against a polythene rod. It is considered to be negatively charged because more electrons have accumulated within the polythene rod as a result of the rod being electron rich and the electrons moving there.

The amount of electrons inside the cloth has dropped, making the cloth electron-deficient. It is referred to as positively charged because of this.

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With the use of first equation of motion, the ball will be going with a velocity of - 51 m/s

Velocity is the distance travel in a specific direction per time taken. It is a vector quantity and it is measured in m/s

Given that a punter kicks the ball high enough that it spends 5.2 seconds in the air. To know how fast was it, let us assumed that the initial velocity u of the ball is zero. The ball will be moving under the influence of gravity.

To find the velocity, let us use first equation of motion. That is,

v = u - gt

where

Substitute all the parameters into the equation

v = - 9.8 × 5.2

v = - 50.96 m/s

Therefore, the ball will be going as fast as -51 m/s when it left his foot.

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To find

What is thermodynamics

Explanation

Thermodynamic study about the transfer of energy to and fro from a system.

Thus thermodynamics is the movement of heat

Conclusion

The correct option is movement of heat

We will have the following:

First:

Then:

So, the current is approximately 0.04 A.

The average velocity of a car driving down the highway if it’s displacement is 123 m west during a time period of 14.0 s is 8.79 m/sec.

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity. Unit of velocity is m/sec.

Given in the question a car driving down the highway  it’s displacement is 123 m west during a time period of 14.0 s then the average velocity is given as,

Average velocity = displacement / time

                            = 123/14

                            = 8.79 m/sec

The average velocity of a car driving down the highway if it’s displacement is 123 m west during a time period of 14.0 s is 8.79 m/sec.

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We know that the radii of the orbit is 6.6 the earth one. To get the distance travel in one day we calculate the circunference of that orbit:

Therefore the distance travel by the satellite is 264199.14 km per day.

Now, to get the orbital velocity we need to use the equation:

where M is the mass of the object at the center (in this case the earth), G is the gravitational constant and r is the radius of the orbit, then we have:

Therefore the orbital velocity is 3077.83 m/s.

According to the given statement The new acceleration is 21 m/s².

The correct option is D.

Any process where the velocity varies is referred to as acceleration. There are only two ways to speed up: changing your speed or changing your direction, or changing both. This happens because velocity entails both a speed and a direction.

The initial force is F = mass x acceleration

F = 3.17515 kg x 7 m/s²

F = 22.23 N

When the net force is tripled, the new acceleration will be

3 x F =m x a'

3 x 22.23 = 3.17515 x a'

a' = 21.003 m/s²

The new acceleration is 21 m/s². The correct option is d.

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The complete question is -

A 7 lb bowling ball accelerates at a rate of 7 m/s². If the net force on the bowling ball is tripled, what will be its new acceleration?

a. 2.3 m/s²

b. 7 m/s²

c. 14 m/s²

d. 21 m/s²

The normal force exerted by the track at the bottom of the loop is F = m(v²/h + g).

The normal force at the bottom of a loop, is determined from two opposite forces.

One is reaction to weight and other is from reaction of centripetal force which is due to the curvature of the track.

The normal force exerted at the bottom of a circular loop is calculated as follows;

F = ma + mg

where;

F = m(v²/r) + mg

where;

if the release height of the object = 2h

then, the radius of the track = 2h/2 = h

F = m(v²/h) + mg

F = m(v²/h + g)

Thus, the normal force exerted by the track at the bottom of the loop depends on the weight of the object and centripetal force.

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We are given a graph of position vs time. We are asked to determine the speed at 5 seconds. To do that we need to determine the slope of the line above the time point of 5 seconds. To determine the slope of the line we will use the following formula:

This means that we need to choose two points in the line. We use the graph to determine these points as follows:

The points we have chosen are:

Replacing in the formula for the slope we get:

Solving the operations:

Therefore, the speed at 5 seconds is 0.5 meters per second.

For part B the following points can be taken:

The acceleration of the spherical shell is determined as 6.37 m/s².

The friction force is 12.74 N.

The coefficient of friction of the surface is calculated as follows;

Fsinθ = μFncosθ

where;

mg(sin θ) = (μmg) cosθ

(sin θ) = μ cosθ

μ = sinθ/cos θ

where;

μ = tan θ

μ = tan(33)

μ = 0.65

The acceleration of the spherical shell is calculated as;

a = μg

a = 0.65 x 9.8 m/s²

a = 6.37 m/s²

The frictional force is calculated as follows;

Ff = μmg

Ff = 0.65 x 2 x 9.8

Ff = 12.74 N

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The angular velocity of the ball orbiting in circle will be 5 rad/s.

Angular velocity describes the rate at which an object rotates.

Given is a ball that orbits in a circle of radius 10m with a speed of 50 m/s.

The relation between the linear and angular velocity of a body is given by-

v = rω

where -

v is the linear velocity

r is the radius

ω is the angular velocity

On substituting the values, we get -

50 = 10 x ω

ω = 50/10

ω = 5 rad/s

Therefore, the angular velocity of the ball orbiting in circle will be

5 rad/s.

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Protons have positive charge

Electrons have negative charge

• 22 protons (+22) + 18 electrons (-18 )

22 - 18 = 4 (positive)

• 12 -10 = 2

• 17 - 10 = 7

• 2 - 1 = 1

From most positive to most negative overall charges.

7 - 4 - 2 - 1

Two materials that are conductors - silver, copper

Two materials that are insulators - rubber, dry wood

Answer:

a=0.05m/s²

Explanation:

force=mass × acceleration

f=ma

f=50N

m=1000kg

a=?

50=1000×a

50=1000a

a=50/1000

a=0.05m/s²

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