A ball of mass 2.0 kg is rolling along a track with two hills.The first hill (A)

Question

A ball of mass 2.0 kg is rolling along a track with two hills.The first hill (A) is 5.0 m and the second hill (B) is 10.0m. a) What is the potenial and kinetic energy of the ball if itjust makes it to the top of hill B (vB = 0) ? b) How fast must it be going at A in order to just makeit to the top of B? c) Using energy considerations, explain why the first hill ofa roller coaster is generally the highest? I need help with this homework problem, I just am not sure ofwhich equation to use, the steps, or the answer. Pleasehelp if you can. Thank you for your time. This problemis not in the book. A ball of mass 2.0 kg is rolling along a track with two hills.The first hill (A) is 5.0 m and the second hill (B) is 10.0m. a) What is the potenial and kinetic energy of the ball if itjust makes it to the top of hill B (vB = 0) ? b) How fast must it be going at A in order to just makeit to the top of B? c) Using energy considerations, explain why the first hill ofa roller coaster is generally the highest? I need help with this homework problem, I just am not sure ofwhich equation to use, the steps, or the answer. Pleasehelp if you can. Thank you for your time. This problemis not in the book.

Explanation / Answer

    m = 2.0 kg     hA = 5.0 m     hB = 10.0 m (a)     potential energy     PE = m g hB           = .......J     kinetic energy KE = 0 (b)     here we use     m g hA + (1 / 2) m v2 = mg hB     solve for the velocity v     v = ........ m / s (c)     in order to complete the whole trip, for theroller coaster the initial kinetic energy must be given so more dueto this     reason the first hill of a roller coaster isgenerally the highest

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