Full name 2/14/2018 Test 2 4. (10 points) A 3 kg crate slides down a ramp. The r

Question

Full name 2/14/2018 Test 2 4. (10 points) A 3 kg crate slides down a ramp. The ramp is 1 m in length and inclined at an rest at the top, experiences a move a short distance on the angle of 30 as shown in Figure below. The crate starts from constant friction force of magnitude 5 N, and continues to horizontal floor after it leaves the ramp. (g 10m/s) a. Use energy methods to determine the speed of the crate at the bottom of the ramp. b. How far does the crate slide on the horizontal floor if it continues to experience a friction force of magnitude 5.00 N? da 1 5 (3

Explanation / Answer

(A) USing work- energy theorem,

Work done by gravity + work done by friction = change inKE

m g h - f L = Kf - Ki

(3 x 10 x 1 sin30) + (- 5 x 1) = 3 v^2 /2 - 0

v =2.58 m/s .....Ans

(B) Now gravitational force will be perpendicular to the displacement as normal.

so work done by perpendicular force = -

Work done by friction = change in KE

- 5 d = 0 - (3 x 2.58^2 / 2)

d = 2 m ....Ans

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