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Adult cheetahs, the fastest of the great cats, have a mass of about 70 kg and ha

ID: 1414251 • Letter: A

Question

Adult cheetahs, the fastest of the great cats, have a mass of about 70 kg and have been checked running at up to 32 m/s. How many jou.es of kinetic energy does such a swift cheetah have? By what factor would its kinetic energy change if its speed were doubled? A 20.0 kg rock is sliding on a rough horizontal surface at 8.0 m/s and eventually stops due to friction. The coefficient of kinetic friction between the rock and the surface is 0.20. What average power is produced by friction as the rock stops?

Explanation / Answer

1.

a)

here

KE = 0.5 * m * v^2

KE = 0.5 * 70 * 32^2

KE = 35840 J

b)

KE = 0.5 * m * v^2

if the velocity is doubled

KE = 0.5 * m * 4 * v^2

it means the KE energy change by factor 4

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