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15 October, 14:44

A 3.0-kg cart rolls down a hill. Assume that the height of the cart changes from a maximum of 4.0 meters at the top of the hill to 0.0 meters at the bottom. The speed of the cart changes from 0.0 m/s to 3.0 m/s. How much kinetic energy does the cart have when it is half-way down the hill?

A) 6.0J

B) 12.0J

C) 58.8J

D) 117.6J

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  1. 15 October, 15:58
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    C) 58.8 J

    Explanation:

    Initially, the cart has only potential energy.

    PE = mgh

    PE = (3.0 kg) (9.8 m/s²) (4.0 m)

    PE = 117.6 J

    Halfway down the hill, half the potential energy has been converted to kinetic energy.

    KE = 117.6 J / 2

    KE = 58.8 J
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