Question 3: A 1.0 kg block slides down a 60° incline with length 0.855 m and con

Question

Question 3: A 1.0 kg block slides down a 60° incline with length 0.855 m and continues on the level surface. The coefficient of friction between the block and the surface is 0.100. If the initial speed of the block is 3.5 m/s, find how far the block slides on the level surface before stopping. [13.2 m Question 4: The three ropes shown in the bird's-eye view of the figure are used to drag a 25.0 kg crate 3.0 m across the floor. How much work is done by each of the three forces? If the crate begins from rest, what is its speed after it travels 3.0 m? [1691 J, 1065 J,-1950 J, 5.68 m/s] 50 N# Question 5: A 200 g mass is acted upon by a horizontal force given by 27.0x (in newtons). The block has speed 3.5 m/s at x = 2 m. What is the speed of the block at : = 4 m? [40.4 m/s]

Explanation / Answer

3. Applying work - energy theorem,

work done by gravity + work done by friction + work done by normal = change in KE

m g L sin60 - f d + 0 = 0 - m v0^2 /2

m g L sin60 - u m g cos60 L - u m g d = - m v0^2 /2

(9.8 x 0.855 x sin60) - (0.1 x 9.8 x cos60 x 0.855)- (0.10 x 9.8 x d) = - (3.5^2 / 2)

d = 13.2 m  

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