A small block is released from rest at the top of a smooth wooden plank long that is…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A small block is released from rest at the top of a smooth wooden plank 3.0 m3.0\,\text{m} long that is inclined at 25∘25^{\circ} to the horizontal. The lower end of the plank is 0.75 m0.75\,\text{m} above level ground. (a) Calculate the time taken by the block to reach the bottom of the plank. (b) After leaving the plank, the block is projected horizontally from the edge. Determine the horizontal distance it travels before striking the ground. (Note: the launch speed refers to the horizontal component of the block's velocity upon leaving the plank.) Use g=9.8 m s−2g = 9.8\,\text{m s}^{-2}.

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