The svstem shown below is released from rest
and moves 50 cm in 1.0 second. What is the value
of M? All surfaces are frictionless.

Answer:

5×10-5 farads

Explanation:

Indications:

Q = charge

I = Current

t = Time

C = Capacitance

V = Voltage

Now, we know, Q = IT = 2×10^-5 ×30 = 6×10^-4 C

again, we know, Q = VC

⇒ C = Q/V = 6×10^-4/12 = 5×10^-5 Farads

The integration of the area under the curve would give the displacement.

We know that the displacement can be defined as the change in the position of an object in a specified direction. Now we know that the velocity time graph is the kind of graph that shows change in the velocity of the object with time.

Now we can get the displacement of the object as the integral of the area under the curve of the graph and this is going to help us to obtain the entire displacement of the journey of the object.

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20.273° is the angle of refraction of the light as it enters the water from the glass.

Snell's law states that the angle of refraction, θr, is proportional to the angle of incidence, θi and the ratio of the refractive indices of the two media that comprise the interface. The angle θr=θi and no refraction occur when the mediums have equal refractive indices.

Given that,

Saltwater has an index of refraction = 1.33

The glass has an index of refraction (n₁) = 1.53

Air has an index of refraction (n₂) = 1.000293.

According to Snell's law:

n₂/n₁ = sin θ₁ / sin θ₂

or, 1.000293 / 1.53 = sin θ₁ / sin (32°)

or, 0.6537 = sin θ₁ / 0.52992

or, 0.3465 = sin θ₁

or, θ₁ = sin⁻¹ (0.3465)

or, θ₁ = 20.273°

So, 20.273° is the angle of refraction of the light as it enters the water from the glass.

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As the object moves from point A to B, the kinetic energy of the object decreases and the mechanical energy of the object increases.

In this problem, the law of energy conservation is applied. It is given that the work done by conservative force is -70J and the work done by non-conservative force is 50J.

The resulting forces between these two forces is -70J + 50J = -20 J.

The conservative force is linked with the movement caused by the sum of two energies, therefore there is a decrease in kinetic energy. The increase in mechanical energy is due to the positive non-conservative force.

Thus, the correct answer is kinetic energy of the object decreases and the mechanical energy increases.

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For x be the number of rolls of a die needed for all 6 numbers to turn up then the expected value is 5 and the variance of x is 2.0833 .

But to be absolutely certain, we may apply an even more straightforward procedure to get the solution,

expected value = (1 -p)/p

Where p is the likelihood of success and (1-p) is the expected failure value for the number of rolls of a die needed for all 6 numbers to turn up.

Thus , the 6 number to turn up = p = 1/6

The 6 number to not turn up =(1 - p) = 5/6

Putting the value in above equation we get,

expected value = (1 - 1/6)/1/6 = (5/6)/(1/6)

expected value = 5

Thus, all outcomes on the die between 1 and 6 have an equal likelihood,  the bounds are a = 1, b = 6 ,now calculating the variance of x i.e. V(x)

V(X) = ( b - a)²/12

V(X) = ( 6 - 1)²/12

V(X) = 2.0833

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Electric – power – steering rack. Let's break it down one by one. “Steering rack” is a set of rack and pinion gears that is connected to both front wheels. When we turn the steering wheel, the rack and pinion gears engage in a way that shifts the car wheels to the left or right, which steers the car

Electric systems do not require power steering fluid to work and only draw power when needed, making them more fuel efficient than hydraulic systems. A rack gear and a pinion gear that transmits the steering wheel rotation inside of your car to tire movement outside of your car.

By providing power assist via hydraulic pressure, this system delivers a naturally smooth steering feel and, thanks to the flexibility of control allowed by electric power, offers more precise steering power characteristics.

Hydraulic power steering systems tend to be heavier than electrical systems. Hydraulic power steering systems require hydraulic fluid, which must be changed from time to time. Electrical systems don't use any fluid, so you don't have to do as much maintenance.

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A transverse wave of amplitude 3 cm, frequency 5 Hz, speed 2 m/s travels on an infinitely long silky. The distance between the two nearest points is 0.4 m.

Given that, amplitude = 3 cm

Frequency = 5 Hz

Speed = 2 m/s

As the wavelength is the measure of distance between two crests or two troughs in a wave, the peaks should be identical.

The distance between the two near-points on the silky is calculated by applying wave equation as follows:

v = f * λ

where, v is the speed

f is the frequency

λ is the wavelength

Making λ as subject, we have, λ = v/f

Substituting the values in the above formula, we have,

λ = v/f = 2/5 = 0.4 m

Thus, the wavelength is found to be 0.4 m.

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The time measure as 20 ms is the proper time. The speed of aircraft relative to Earth is 0.89 X c m/s.

Part A:

The time measured by the searchlight of 20 ms is the proper time Because this time is measured by a rest clock with respect to space craft.

Part B:

Speed of the aircraft = v

Initial time = t = 20 ms = 0.020 s

Final time = t' = 0.190 s

Speed of light = c

Using Time dilation equation,

= t' = t / √( 1 - (v/c)²)

= √( 1 - (v/c)²) = t / t'

= ( 1 - (v/c)²) = ( t / t' )²

= ( 1 - (v/c)²) = ( 0.02 / 0.190 )²

= (v/c)² = 1 - 0.011025

Finding roots on both sides,

= (v/c) = 1 - 0.20/0.19

= 0.89 = (v/c)

= v = 0.89 X c m/s

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The complete question:

An alien spacecraft is flying overhead at a great distance as you stand in your backyard. You see its searchlight blink on for 0.150 s . The first officer on the craft measures the searchlight to be on for 18.0 ms . Part A Which of these two measured times is the proper time? 0.150 s 18.0 ms Part B What is the speed of the spacecraft relative to the earth, expressed as a fraction of the speed of light, c?

The fundamental mental capacities required to acquire and comprehend any subject have been categorized as fluid intelligence.

Human intelligence includes the abilities to learn from experience, adapt to new situations, understand and manage abstract concepts, and use information to change one's environment. Using longitudinal research designs the same people's behavior is examined over time .  For instance, if we were to examine the connection between intelligence and aging, a scientist might do a longitudinal research to see whether 20-year-olds lose intelligence as they age. Gardner's idea was criticized by Psychologists and teachers. Gardner's concept of intelligence, according to these opponents, is too wide, and his eight different "intelligences" only represent skills, personality traits, and other characteristics.

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when the temperature is kept constant, to increase the volume of the gas, you will decrease the pressure (Option D)

The volume of a gas at constant temperature is explained by the Boyle's law equation which is states as follow:

The volume of a fixed mass of gas is inversely proportional to the pressure at conctant temperature. Mathematically, it is expressed as follow:

P ∝ = 1/V

P = K / V

P₁V₁ = P₂V₂

Where

From the above formula, we can see that volume and pressure exist in inverse proportionality. This means that when the volume increases, the pressure will decrease and also, when the volume decreases, the presure will increase.

With the above information, we can conclude that the correct answer to the question is: You would decrease the pressure (Option D)

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5789.8 W  is the average power of the elevator motor during this period and 1.115 * 10⁴ W this power compare with the motor power when the elevator moves at its cruising speed.

The rate with which the speed and direction of a moving object vary over time. A point a object going straight ahead is pushed when it accelerates or decelerates.

Mass of elevator = 650 kg

Time = 4.50 sec

Speed of the elevator = 1.75 m/s

Calculating the elevator's acceleration is necessary.

Using the acceleration formula

a = vf - vi / t

a = 1.75 / 4.50

a = 0.38 m/s2

(a). We must determine the net force acting on the elevator.

Using the force formula

T = mg + ma

T = m (g +a)

T = 650 (9.8 + 0.38)

T = 6617 N

We must determine the average velocity.

Using the average velocity formula

v' = vf + vi / 2

v' = 1.75 / 2

v' = 0.875 m/s

We must determine the average power.

Using the power formula

P = T * v'

P = 6617 * 0.875

P = 5789.8 W

(b). We must determine the motor's power input.

Using the power formula

P = F * v

P = mg * v

P = 650 * 9.8 * 1.75

P = 1.115 * 10⁴ W.

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Answer:

HAHAHAHAHAHAHAHAH

Explanation:

HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAAHAHAHAHAH

In a generator, the series field shunt rheostat allows part of the current that normally flows through the series field to flow through the resistor.

The field rheostat is in series connected with the shunt field circuit. This provides the simplest method of controlling the terminal voltage of a dc generator.

Shunt motor is a particular kind of DC motor which runs at a constant speed. But using field and armature rheostat control method we can make it more versatile. Field rheostat provides above normal speed and armature rheostat provides wide range of below normal speed.

An ammeter and a rheostat are connected in series and a voltmeter is connected in parallel with battery.

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Initially before the engine is ignited, the weather rocket sits at rest on the top of the spring, and the spring is compressed 0.214m

After the engine is ignited, the rocket speed (that generates a thrust of 200N) when the spring has stretched 40cm is 1.78m/s

Answer to question a.
Given from the question

mass of weather rocket = 12kg

Thrust by rocket Ft = 200N

Spring constant K = 550N/m

Let spring compressed = x meters

Now, let us using the force formula

F rocket = F spring

mass rocket (m) * g (earth gravity) = spring constant (K) * x

12 * 9.8 = 550 * x

117.6 = 550x

x = 0.214m (X₁)

Answer to question b

where y = x₁ + x₂ ; x₁ = 0.214m ; x₂ = 0.4m (stretched 40cm)

y = 0.614

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The atmospheric pressure of the sample when depth, density and total pressure is given is 62.5 x 10⁸ Pa.

Atmospheric pressure is defined as a unit of measurement equal to the normalized atmospheric pressure at sea level and 15 °C.  Because it is determined using a barometer, atmospheric pressure is also referred to as barometric pressure.

It can be expressed as

P = hрg

P = 25 x 2.5 x 10⁵ x 1000

P = 62.5 x 10⁸ Pa

Thus, the atmospheric pressure of the sample when depth, density and total pressure is given is 62.5 x 10⁸ Pa.

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Pulling the block at an unknown constant acceleration with the force probe for a measured distance will allow the students to take the measurements needed to calculate the work done by friction. the correct answer is C.

As is common knowledge, the product of force and displacement defines the amount of work done.

hence, it is said as

W =F.d

where,

W is work

F is force

D is displacement

Therefore, in this case, force and displacement must be known in order to determine the work done.

In order to determine the amount of work done, we must first pull the block with a constant acceleration. therefore the correct answer is C

Your question is incomplete but most probably your full question was

Some students want to calculate the work done by friction as an object with unknown mass moves along a straight line on a rough horizontal surface. The students have a force probe, a meterstick, and a stopwatch. Which of the following will allow lo lake the measurements needed to calculate the work done by friction?

(A) Pulling the block at an unknown constant acceleration with the force probe for a measured time.

(B) Pulling the block at an unknown constant speed with the force probe for a measured time.

(C) Pulling the block at an unknown constant acceleration with the force probe for a measured distance.

(D) Pulling the block at an unknown constant speed with the force probe for a measured distance.

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A 50kg astronaut practising in a human centrifuge to get ready for a launch will experience a net centripetal force of 2499N. The astronaut practises being supported by a 5.20g strain on his back.

A force that causes a body to follow an arc is known as a centripetal force (from the Latin centrum, "centre," and petere, "to pursue"). It always moves in the opposite direction of the body's motion and in the direction of the immediate centre of the path's curvature. It was defined as "a force by which bodies are attracted, compelled, or gravitate, towards a point as to a centre" by Isaac Newton.

Net centripetal force = 5.10 * 50 * 9.8 = 2499 N

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The complete question is-

a 50kg astronaut is training in human centrifuge to prepare for a launch. the astronaut uses the centrifuge to practice having a 5.20g force (5.20 times his own weight) on his back. Find the net centripetal force?

A balanced force is referred to as when all the applied forces create an equilibrium which is therefore denoted as option A.

This is referred to as an influence that can change the motion of an object and the formulas is F= ma where m is the mass and a is acceleration of the body involved with its unit being Newton.

Equilibrium on the other hand  is referred to as as a state in which all the individual forces and torques exerted upon an object are balanced and there is no movement of the body in any type of direction in this type of scenario.

Balanced force is referred to as a situation in which all the applied forces which creates an equilibrium as denoted above which is therefore the reason why option A was chosen as the correct choice.

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The time interval required for the proton to travel 4.50 cm horizontally is  1.07 x 10⁻⁷ s , vertical displacement during the time interval in which it travels 4.50 cm horizontallyis  0.0043 m, and the horizontal and vertical components of its velocity after it has traveled 4.50 cm horizontally_ j km/s.

a. Let t be the amount of time needed for a proton to move 4.50 cm 0.045 m horizontally. It is calculable as follows:

t = d/v

where t is time, d is distance and v is velocity

t= d/v

t = 0.045m / 4.20 x 10⁵ m/s = 1.07 x 10⁻⁷ s

b. because the initial speed in the vertical direction is 0. So,

Thus, q E = ma.

ay= (Ey q)/m

Displacement is given by :

y=ut + 1/2ayt²

y =1/2 ((Ey q)/m) t²

y =(1/2)(7.60 x 10³ N/C x 1.67 x 10⁻¹⁹)(1.07 x 10⁻⁷)²

y= 0.0043 m

c.Use the following kinematics equation for the vertical component of velocity:

V(y)²-u²= 2ayd

[tex]v_y=\sqrt{\frac{E_{y}q}{m}d_{y} } \\v_y=\sqrt{\frac{7.60 X 10^3 N/C _{} X 1.67 x 10^{-19}}{ 1.67 x 10^{-27}} 0.045[/tex]

v=1.8493 X10⁵ m/s

velocity horizontal component,

vₓ =d/t

vₓ= 0.045/( 1.07 x 10⁻⁷ s) = 4.20 x10⁵

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The motion of the box changes as it will move slower because as the mass increases, the force of friction between the surface also increases. Thus, the correct option is A.

Force of friction is a type of contact force. Frictional force is the force which resists the motion when the surface of one object comes in contact with the surface of another object. Example of frictional force is the force of friction between two stones which are rubbed with each other. The SI unit of frictional force is Newton (N).

Frictional force can be calculated by the formula:

f = μN

where, f = frictional force,

μ = coefficient of friction,

N = Normal force

The mass of the objects (normal force - mg) which are in motion is directly proportional to the magnitude of the frictional force. As more books are added to the box while the force of push remains same the motion of the box will change and it will move slower because as mass increases, the force of friction between the surface also increases.

Therefore, the correct option is A.

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Answer:

Explanation:

a

Answer:

The maximum coefficient of static friction required to pull the box will be 0.4.

Explanation:

We have given a box of mass 2 kg and Force of 50 N. (g=10m/s)

As we know,

Coefficient of static friction: μ = F/N (I)(F=ma, a= g)

Putting value in equation (I), we get

μ= mg/

μ=2×10/50

μ=0.4

Answer:

It will 50 m time Taken to complete one round time taken to complete complete one one round, it will nine second. So distance covered in, covered in in one ground equal two prior to that is equal to pi In 250, 1200 five. Now everybody spirit average period equal fear equal distance upon

Answer: The speed at which mass M needs to rotate in order to keep mass m suspended is 0.7071067811865475 m/s.

Explanation:

The largest angular magnification is 0.9 of the refracting telescope has an objective lens of focal length 15.4 in and eyepieces of focal lengths 18 mm, 24 mm, 36 mm, and 85 mm.

The formula for angular magnification is M = F_o/F_e, where F_o is the focal length of the objective lens and F_e is the focal length of the eyepiece.

The largest angular magnification is achieved with the shortest focal length eyepiece, which in this case is 18mm.

Plugging the values into the formula, we get M = 15.4/18 = 0.86.

Expressing the answer to two significant figures, we get M = 0.9.

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The complete question is written here

a refracting telescope has an objective lens of focal length 15.4 in and eyepieces of focal lengths 18 mm, 24 mm, 36 mm, and 85 mm.What is the largest angular magnification you can achieve with this instrument?Express your answer to two significant figures.

The calculated value of angle of refraction be 29.88°.

Refraction is defined as "the change in a wave's direction as it passes through a medium."

Although light refraction is one of the most frequently seen phenomena, refraction can also occur with sound and water waves. We can use optical tools like lenses, prisms, and magnifying glasses thanks to refraction. We can focus light on our retina because of the refraction of light, which is another benefit.

Given that;

Angle of incident of light from air to water: i = 24°

Refractive index of water: n = 1.33

So, the angle of refraction be = sin⁻¹(nsini) = sin⁻¹( 1.33 sin24°) = 29.88°.

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The wavelength of the electron, given that it is travelling at 1.0×10⁷ m/s is higher than that of the ball travelleing at 35 m/s

To compare the wavelength of both the electron and ball, we shall determin the the wavelength of both the electron and ball. Details below:

For electron:

λ = 2h / mv

λ = (2 × 6.626×10⁻³⁴) / (9.1×10⁻³¹ × 1.0×10⁷)

λ = 1.46×10⁻¹⁰ m

For ball:

λ = 2h / mv

λ = (2 × 6.626×10⁻³⁴) / (0.10 × 35)

λ = 3.79×10⁻³⁴ m

From the above calculation we obtained:

Thus, we can conclude that the the wavelength of the electron is higher than that of the ball.

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The vehicle's last speed if −3.00 MJ of work was finished by the brakes will be 398.45 km each hour.

What is the conservation of energy?

According to the principle of conservation of mass, energy cannot be gained or lost; it can only be converted from one form of energy to another. This indicates that only if energy is introduced from outside, a unit always uses the same quantity of energy.

In 1979, Dr. Hans Liebold of Germany drove a race vehicle 12.6 km with a typical speed of 404 km/h. Assume Liebold applied the brakes to decrease his speed. Expect the consolidated mass of the vehicle and driver to be 1.00 and 103 kg.

The final speed is given as,

1/2 x m [(v₂)² - (v₁)²] = 3 x 10⁶

1/2 x (1 + 103) x [(v₂)² - (404 x 18/5)²] = 3 x 10⁶

(v₂)² = 2057687.06

v₂ = 1,434.43 m/s

v₂ = 398.45 km per hour

The vehicle's last speed if −3.00 MJ of work was finished by the brakes will be 398.45 km each hour.

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The weight of a ball of the same material with a 3-inch radius is 12.15 pounds.

All things close to Earth are constantly subject to the force known as weight. All items are pulled downward toward the Earth's center by the gravity of the planet.

As a result, kilograms times meters per second squared, which is equivalent to a newton, can be used to quantify weight in the SI (N).

Weight can be expressed using the formula W = m*g, where weight can be expressed as kg * m/s2, which is equivalent to N, since weight is the force that gravity extends on a mass.

Let w equal the ball's weight in pounds.

r is the spherical ball's radius in inches.

The constant, C, converts the connection into a formula and ensures that the units are calculated correctly.

So, w = C r 3.

First determine C using the 2 "example: C= w/r3 = 3.60/(2)3 = 3.60/8 = 0.45

Now that you know C, you can determine the larger 3's weight "ball:

w = 0.45 r3 = 0.45

3  = 0.45 (27) = 12.15 pounds

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