A solid sphere is initially at rest at the top of a tall, rough hill. It rolls down the hill and up the next hill.
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The sphere is then taken to an identically shaped track with negligible friction and released from point A. Is the sphere's maximum height after leaving the track greater than, less than, or the same as the height it reached on the rough track? Explain your reasoning for A greater than, B less than and C same as.
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- A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope that weighs 0.5kg/m. Initially, the bucket contains 36 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 12m level. Find the work done. (Use 9.8 m/s2 for g)Answer provided. answer should be A.)6.75J,B.)2.03m/s Please show your complete solution and write clearly. Thank you.A box of mass m = 9.3 kg is released from rest at the top of a track that is frictionless except for a length L = 1.2 m, as in the figure below. The coefficient of kinetic friction between the box and this rough section of length L is k = 0.51. How high, h, will the box reach after passing through the rough region of length L one time? Assume the initial height is H = 3.0 m. H K V.. L MA-² h = ? V
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