ch08-p096 - 96. From Eq. 8-6, we find (with SI units...

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(b) When its speed is v = 4 m/s, its mechanical energy is 1 2 2 5 mv U + bg . This must equal the energy at the origin: 1 2 5 1 2 0 22 mv U mv U += + o so that the speed at the origin is vv m UU o =+ 2 2 50 ch . Thus, with U (5) = 246 J, U (0) = 0 and m = 20 kg, we obtain v o = 6.4 m/s. (c) Our original formula for U is changed to Ux x x =− + + 8 3 2 2 5 3 3 in this case. Therefore, U (2) = 11 J. But we still have v
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