A student raises a 10 kg crate from the floor to a shelf 2 m high in three different ways

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A student raises a 10 kg crate from the floor to a shelf 2 m high in three different ways, neglecting friction and air resistance. • Path P: Directly upward at constant speed. • Path Q: Slowly pushes the crate up a 4 m long friction-free ramp to the same shelf. • Path R: Lifts the crate vertically while first speeding it up and then slowing it to rest on the shelf. Rank the magnitude of the work WPW_P, WQW_Q, and WRW_R done by the student. (a) WQ>WR>WPW_Q > W_R > W_P (b) WP=WQ=WRW_P = W_Q = W_R (c) WR>WP>WQW_R > W_P > W_Q (d) WR=WP>WQW_R = W_P > W_Q

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