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A 230kg crate hangs from the end of a rope of length L =12.0M. You push horizont

ID: 2142915 • Letter: A

Question

A 230kg crate hangs from the end of a rope of length L =12.0M. You push horizontally on the crate with force F and the rope swings reaching maximum angle of thata=19.5. from the vertical. Find:-
a) The work done by the gravitational force for this displacement.
b) The net work done on the crate to move it from its inital position maximum angular displacement.
A 230kg crate hangs from the end of a rope of length L =12.0M. You push horizontally on the crate with force F and the rope swings reaching maximum angle of thata=19.5. from the vertical. Find:-
a) The work done by the gravitational force for this displacement.
b) The net work done on the crate to move it from its inital position maximum angular displacement.

Explanation / Answer

let it swing by angle theta wtht the vertical


at the highest point the speed is zero


so work done by gravity = mgl(1 - cos theta) = -1551.43 J (negative)


work done by F = F sin theta = 1551.43 J


both are equal ( we can equal forces that is the equilibrium point and crate still goes up ward due to speed ,so we r writing conservation of energy from bottom to highest point where the speeds are zeero)



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