A cyclist is coasting at 18 m/s when she starts on a 450 m long slope that is 40 m high. The cyclist and her bicycle have a combined mass of 75 kg. A steady 15 N drag force due to air resistance acts on her as she coast all the way down to the bottom. a) Draw a useful picture depicting this situation. Clearly label all lengths and relevant vector quantities (velocity, force). b) How much enercy does the cyclist have at the top of the slope? c) How much work does the drag on the cyclist as she goes down the slope? Clearly indicate sign of work. d) What is the cyclist's speed at the bottom of the slope?

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter5: Newton's Law Of Motion
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A cyclist is coasting at 18 m/s when she starts on a 450 m long slope that is 40 m high. The cyclist and her bicycle have a combined mass of 75 kg. A steady 15 N drag force due to air resistance acts on her as she coast all the way down to the bottom.

a) Draw a useful picture depicting this situation. Clearly label all lengths and relevant vector quantities (velocity, force).

b) How much enercy does the cyclist have at the top of the slope?

c) How much work does the drag on the cyclist as she goes down the slope? Clearly indicate sign of work.

d) What is the cyclist's speed at the bottom of the slope?

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