A block is released from rest at point A and slides down a curved slope to point B, then continues until it comes to rest at point C. There is no friction from point A to point B, but there is friction from point B to point C. It stops in a time t as it travels from B to C. The vertical height of A is h above point B, and point C is horizontal distance x from point B. a)Write an expression for the speed of the block vB at point B. Your answer should be in terms of x and t. (Use equations of one-dimensional kinematics.) b)Write an expression for h. Your answer should be in terms of x, t, and g (9.80 m/s2). (Apply the work-energy theorem to the block’s motion from A to B.)
A block is released from rest at point A and slides down a curved slope to point B, then continues until it comes to rest at point C. There is no friction from point A to point B, but there is friction from point B to point C. It stops in a time t as it travels from B to C. The vertical height of A is h above point B, and point C is horizontal distance x from point B.
a)Write an expression for the speed of the block vB at point B. Your answer should be in terms of x and t. (Use equations of one-dimensional
b)Write an expression for h. Your answer should be in terms of x, t, and g (9.80 m/s2). (Apply the work-energy theorem to the block’s motion from A to B.)
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