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Answer :
Final answer:
The kinetic energy of a car with a mass of 1000 kg and a velocity of 30 m/s is 450,000 J. The velocity of a tennis ball with a mass of 0.25 kg and a kinetic energy of 675,000 J is 300 m/s.
Explanation:
a. The formula to calculate the kinetic energy of an object is KE = 0.5 * mass * velocity^2. For a car with a mass of 1000 kg and a velocity of 30 m/s, the kinetic energy would be:
KE = 0.5 * 1000 kg * (30 m/s)^2 = 450,000 J
b. To find the velocity of a tennis ball with a given mass and kinetic energy, we can rearrange the formula to solve for velocity. For a tennis ball with a mass of 0.25 kg and a kinetic energy of 675000 J:
675000 J = 0.5 * 0.25 kg * velocity^2
Using algebra to solve for velocity, we get:
velocity = sqrt(2 * 675000 J / 0.25 kg) = 300 m/s
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