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1. A girl swings on a playground swing in such a way that at her highest point she is 1.7 m from the ground, while

1. A girl swings on a playground swing in such a way that at her highest point she is 1.7 m from the ground, while at her lowest point she is 0.6 m from the ground. What is her maximum speed? The acceleration due to gravity is 9.8 m/s . Answer in units of m/s.

2.

Part 1: A roller coaster cart of mass m = 312 kg starts

stationary at point A, where h1 = 30.1 m and

a while later is at B, where h2 = 12.7 m. 2

The acceleration of gravity is 9.8 m/s . What is the potential energy of the cart relative to the ground at A?

Answer in units of J.

Part 2: What is the speed of the cart at B, ignoring the effect of friction?

Answer in units of m/s.

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