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How much energy must the shock absorbers of a 1200-kg car dissipate in order to damp a bounce that initially has a velocity of 0.800 m/s at the equilibrium position? Assume the car returns to its original vertical position.

Question

How much energy must the shock absorbers of a 1200-kg car dissipate in order to damp a bounce that initially has a velocity of 0.800 m/s at the equilibrium position? Assume the car returns to its original vertical position.

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Solution

To solve this problem, we need to use the principle of conservation of energy. The initial kinetic energy of the car is converted into heat energy by the shock absorbers.

Step 1: Calculate the initial kinetic energy of the car. The formula for kinetic energy is KE = 1/2 * m * v^2, where m is the mass of the car and v is the velocity.

KE = 1/2 * 1200 kg * (0.800 m/s)^2 KE = 1/2 * 1200 kg * 0.64 m^2/s^2 KE = 384 Joules

So, the shock absorbers must dissipate 384 Joules of energy to damp the bounce.

This problem has been solved

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