Classical Mechanics
# Work

A body of mass \( m = 2 \text{ kg} \) is dropped from \( h = 70 \text{ cm} \) above a horizontal platform that is fixed to one end of an elastic spring, as shown in the figure above. As a result the spring is compressed by an amount of \(\Delta x = 20 \text{ cm}. \) What is the spring constant of the spring?

The gravitational acceleration is \( g= 10 \text{ m/s}^2 \) and the air resistance is negligible.

A body initially at rest is dropped from a height of \( h = 45\text{ m}. \) If the coefficient of restitution is \( e= 0.6, \) what is the height the body reaches at the second bounce?

The gravitational acceleration is \( g= 10 \text{ m/s}^2. \)

A \(14\)-meter-long rod of mass \( 2 \text{ kg} \) with homogeneous density is standing vertically with one end on a horizontal floor. Find the gravitational potential energy of the rod.

The gravitational acceleration is \( g = 10 \text{ m/s}^2. \)

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