Question

If a car has a suspension system with a force constant of (5.00 times 10^4 N/m), how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?

a) (14.1 kJ)
b) (21.1 kJ)
c) (28.1 kJ)
d) (35.1 kJ)

Answer 1

The energy that the car's shocks must remove to dampen the oscillation is approximately 14.1 kJ.

Step-by-step explanation:

The energy that the car's shocks must remove to dampen the oscillation can be calculated using the formula:

Energy = 1/2 * k * A2

Where k is the force constant of the suspension system and A is the maximum displacement of the oscillation.

Plugging in the values, we have:

Energy = 1/2 * (5.00 × 104) * (0.0750)2

Solving this equation gives us an energy of approximately 14.1 kJ.