Question

Asked Dec 10, 2019

14 views

A 13.8 kg crate is pulled up a rough incline

with an initial speed of 1.5 m/s. The pulling

force is 123.0 N parallel to the incline, which

makes an angle of 13.6◦ with the horizontal.

The coefficient of kinetic friction is 0.33 and

the crate is pulled a distance of 7.8 m.

The acceleration of gravity is 9.81 m/s^2

a) Find the work done by Earth’s gravity

on the crate.

Answer in units of J.

b) Find the work done by the force of friction

on the crate.

Answer in units of J.

c) Find the work done by the puller on the

crate.

Answer in units of J.

d) Find the change in kinetic energy of the

crate.

Answer in units of J.

e) Find the speed of the crate after it is pulled

7.8 m.

Answer in units of m/s.

Step 1

Let the mass of the crate be denoted by *m*, the pulling force as* F,* the force of friction as *f* , *v* the initial velocity of the block, *a *the acceleration of the block, *N* as the normal reaction of the block and *μ* as the coefficient of Kinetic friction. Let *d* denote the distance moved by the crate.

The free body diagram of the arrangement is shown below,

Step 2

From the free body diagram illustrated above, the following equations for the motion of the crate upwards the crate can be deduced.

Step 3

Work done by the force of gravity is calculated as by breaking the gr...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: A horizontal force of 150 N is used to push a 47.5-kg packing crate a distance of 5.00 m on a rough ...

A: Given:Mass of the packing crate = 47.5 kgForce applied = 150 NDistance moved by the crate = 5 mSpeed...

Q: A crate with a mass of 47.5 kg is pushed with a horizontal force of 150 N. The crate moves at a cons...

A: Click to see the answer

Q: a meterstick is balanced at the 60.0 cm mark on a fulcrum. A 63.0 gram object is hung from the 10.0 ...

A: a)The mass of the meter stick by equating the net torque is,

Q: The graph below was taken for an object moving over various inclines, where the force required to pr...

A: Click to see the answer

Q: **16. You are standing at an ocean beach knee-deep in the water watching the waves rolling in. From ...

A: Given:Amplitude of wave (A) = 10 cm = 0.1 mWavelength of wave (λ)= 3 mWave traveled 1.2 m in time (t...

Q: Using energy considerations, calculate the distance the 65.0-kg baseball player slides,given that hi...

A: The initial kinetic energy of the system is

Q: A shuttle is being launched off a planet that has no air. The planet has a radius of 3.46×106 m and ...

A: Given information:The mass of the planet (M) = 3.60 × 1024 kgThe radius of the planet (R) = 3.46 × 1...

Q: In this problem take the speed of sound to be 341 m/s. How fast, in meters per second, does an ob...

A: Write the expression for apparent frequency using Doppler’s shift.

Q: 4. In Figure 37.7, show mathematically how many interference 7. maxima are enclosed by the central d...

A: Given,