- #1
nns91
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Homework Statement
A 2kg block is released 4m from a massless spring with a force constant k=100 N/m that is fixed along a frictionless plane inclined at 30 degree.
(a). Find the maximum compression of the spring.
(b) If the plane is rough rather than frictionless, and the coefficient of plane kinetic friction between the plane and the block is 0.2, find the maximum compression.
(c) For the rough plane, how far up the inline will the block travel after leaving the spring ?
2. A 50 000 kg barge is pulled along a canal at a constant speed of 3km/h by a heavy tractor. The townrope makes an angle of 18 degree with the velocity vector or the barge. The tension in the townrope is 1200 N. If the townrope breaks, how far will the barge move before coming to rest ? Assume that the drag force between the barge and water is independent of velocity.
Homework Equations
E= Emech + Etherm
The Attempt at a Solution
a. I solved it right
b. The friction kinda confuses me. I tried to used conservation of energy.
Initial: E= mgh
Final: E= mg(h-(4+x)sin30) + (1/2)kx^2 + 0.2*mgcos30*(4+x)
then I set them equal to each other and solve for x. However, I got a wrong answer. Where did I do wrong ?2. I have no clue since I cannot picture the problem
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