Calculate the change in kinetic energy of a ball of mass 800g when it bounces. assume that it hits the ground with a speed of 20m/s and leaves it at 18.5m/s.
Solution
To calculate the change in kinetic energy (ΔKE) of a ball when it bounces, we need to find its initial kinetic energy (KE1) and its final kinetic energy (KE2) and then subtract the two values:
KE1 = 0.5 * mass * velocity1^2 =>
KE1 = 0.5 * 0.8 kg * (20 m/s)^2 =>
KE1 = 80 J
KE2 = 0.5 * mass * velocity2^2 =>
KE2 = 0.5 * 0.8 kg * (18.5 m/s)^2 =>
KE2 = 73.375 J
ΔKE = KE1 - KE2 =>
ΔKE = 80 J - 73.375 J =>
ΔKE = 6.625 J
So the change in kinetic energy of the ball when it bounces is 6.625 J.
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