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A child on a sled has been given a push so that she is moving up a hill. The hill is covered with icy

 

A child on a sled has been given a push so that she is moving up a hill. The hill is covered with icy snow and can be treated as frictionless. The child has a mass of 22.7 kg; the sled has a mass of 3.18 kg. (a)What is the acceleration of the child as she moves up the incline? (b)How far will she go before coming to a stop if her speed is 2 m/s when she starts at the bottom of the hill? She holds on tightly and so does not fall off the sled, and the hill makes an angle of 15.5 with the horizontal. Draw a sketch and Free body diagram for full credit.

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