Question

# A mass m = 14 kg is pulled along a horizontal floor, with a coefficient of...

A mass m = 14 kg is pulled along a horizontal floor, with a coefficient of kinetic friction μk = 0.12, for a distance d = 5.9 m. Then the mass is continued to be pulled up a frictionless incline that makes an angle θ = 38° with the horizontal. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 38° (thus on the incline it is parallel to the surface) and has a tension T = 49 N.

1)What is the work done by tension before the block gets to the incline?

______________J

2)What is the work done by friction as the block slides on the flat horizontal surface?

______________J

3)What is the speed of the block right before it begins to travel up the incline?

_____________m/s

4)How far up the incline does the block travel before coming to rest?

_______________m

5)What is the work done by gravity as it comes to rest?

______________J

6)During the entire process, the net work done on the block is:

positive

negative

zero

work done by tension = T* d = 49*5.9 = 289.1 J

work done by friction = f*d = $\mu_k$mg*d = 0.12*14*9.8*5.9 = 97.1376 J

Wtension - Wfriction = 1/2m*v^2

289.1 - 97.1376 = 0.5*14*v^2

V = 5.23 m/s

V = 5.23 m/s just before inclined we want to it stop so

Wt - Wmg = KEf-KEi = 0-1/2.*14*5.23^2

49*d - mg*d*sin38 = - 0.5*15*5.23^2

49*d - 14*9.8*d*sin38 = - 0.5*15*5.23^2

work done by gravity = - 14*9.8*d*sin38​ =  - 14*9.8*5.78*sin38​ = -488.229 J

6 ) total work done = negative

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### A mass m = 15 kg is pulled along a horizontal floor with NOfriction for...

A mass m = 15 kg is pulled along a horizontal floor with NO friction for a distance d =7.1 m. Then the mass is pulled up an incline that makes an angle θ = 30° with the horizontal and has a coefficient of kinetic friction μk = 0.38. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 30° (thus on the incline it is parallel...

• ### A mass m = 12 kg is pulled along a horizontal floor with NO friction for...

A mass m = 12 kg is pulled along a horizontal floor with NO friction for a distance d =6.5 m. Then the mass is pulled up an incline that makes an angle θ = 25° with the horizontal and has a coefficient of kinetic friction μk = 0.44. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 25° (thus on the incline it is parallel...

• ### A mass m = 17 kg is pulled along a horizontal floor with NO friction for...

A mass m = 17 kg is pulled along a horizontal floor with NO friction for a distance d =6 m. Then the mass is pulled up an incline that makes an angle θ = 37° with the horizontal and has a coefficient of kinetic friction μk = 0.4. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 37° (thus on the incline it is parallel...

• ### A mass m = 17 kg is pulled along a horizontal floor with NO friction for...

A mass m = 17 kg is pulled along a horizontal floor with NO friction for a distance d =5.8 m. Then the mass is pulled up an incline that makes an angle 0 = 35º with the horizontal and has a coefficient of kinetic friction uk = 0.38. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of 0 = 35° (thus on the incline it is parallel...

• ### 1. A block of mass m = 5.0 kg is pulled along a horizontal floor or...

1. A block of mass m = 5.0 kg is pulled along a horizontal floor or up the ramp by a force of magnitude F = 50 N. The coefficient of kinetic friction between the block and surface is 0.15 and the magnitude of the angle θ = 25.0°. (a) Make a free-body diagram of the block for each case. (b) Calculate the magnitude of the normal force and kinetic friction force for each case. (c) Calculate the acceleration of...

• ### Problem 1: (4 points) A block of mass m = 22.5 kg is being pulled at...

Problem 1: (4 points) A block of mass m = 22.5 kg is being pulled at constant speed by a rope. The rope is inclined at θ = 20.00 above the horizontal, and the cart moves a distance d-20.0m on a horizontal rough surface. The coefficient of kinetic friction between the ground and cart is μ-0.5. a) what is the tension in the rope? b) How much work is done on the cart by the rope? How much work is...

• ### A block of mass M is pulled over a rough horizontal surface. The block has a coefficient of kinetic friction with the s...

A block of mass M is pulled over a rough horizontal surface. The block has a coefficient of kinetic friction with the surface of p. The block is subject to the normal force, the friction force, the force of gravity, and a force from a rope of magnitude T which pulls up and to the right at an angle of 0 with the horizontal. The box was initially travelling to the right at speed v = 1.3" If M =9.7kg,...

• ### A block of mass M is pulled over a rough horizontal surface. The block has a...

A block of mass M is pulled over a rough horizontal surface. The block has a coefficient of kinetic friction with the surface of u. The block is subject to the normal force, the friction force, the force of gravity, and a force from a rope of magnitude T which pulls up and to the right at an angle of 0 with the horizontal. If M 9.4kg, u=0.27, T-42N, and 0=38.6 degrees, what the work done by the rope on...

• ### A block of mass M is pulled over a rough horizontal surface. The block has a...

A block of mass M is pulled over a rough horizontal surface. The block has a coefficient of kinetic friction with the surface of pl. The block is subject to the normal force, the friction force, the force of gravity, and a force from a rope of magnitude T which pulls up and to the right at an angle of with the horizontal. The box was initially travelling to the right at speed v = 2.3 If M =9.1kg, u=0.22,...

• ### A) A massless rope is tied to a 1.82 kg box sitting on a rough, horizontal...

A) A massless rope is tied to a 1.82 kg box sitting on a rough, horizontal surface. The rope is pulled with constant force F acting upward at an angle 15.8o to the horizontal. The coefficient of kinetic friction between the box and the surface is 0.217, and the box slides at constant speed along the table for a distance of 84.4 m. Find the total work done by F, in J. B)Josh, mass 143 kg, is racing against his...