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1) A furniture van has a smooth ramp for making deliveries. The ramp makes an an

ID: 1332936 • Letter: 1

Question

1) A furniture van has a smooth ramp for making deliveries. The ramp makes an angle of 20 degrees with horizontal. A large piece of furniture with a mass of 400.0 kg is placed at the top of the ramp. Assuming the ramp is frictionless plane, what is the acceleraton of the furnityre as it moves down the ramp?

2) A horizontal force of 20 N is applied to a 7.0 kg box that slides on a horizontal surface. The box starts from rest moves a horizontal distance of 15 meters and obtains a velocity of 7.0 m/s. The surface has friction. What is the friction force?

Explanation / Answer

1) USing Fnet = ma along the ramp,

mgsin20 = ma

a = gsin20 = 9.81 x sin20 = 3.36 m/s^2

2) u = 0 , v =7 m/s and d = 15 m

Using v^2 = u^2 = 2ad

7^2 - 0 =2 *a*15

a = 1.63 m/s^2


Using Fnet = ma

20 - u,mg =ma

20 - u(7 x 9.81) = 7x 1.63

68.67u = 8.59

u = 0.125