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A bowling ball is rolled up an incline as shown in Figure P9.30. If the ball...


A bowling ball is rolled up an incline as shown in Figure P9.30. If the ball has a speed of 13 m/s at the base of the incline, to what height h on the incline will the center mass travel?

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Answer #1

Kinetic energy, KE = 0.5 mv^2 + 0.5 x (2/5) mR^2 (v/R)^2

KE = (7/10) mv^2

Using law of conservation of energy,

(7/10) mv^2 = mgh

Height, h = 7 v^2/10 g

h = (7 x 13^2)/(10 x 9.8) = 12.07 m

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