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 \( g = 10 \text{ m/s}^2. \)
A body of mass \( m = 5 \text{ kg} \) is moving on a frictionless horizontal plane with a velocity of \( v= 4 \text{ m/s}. \) The body is heading to the vertical platform fixed to one end of an elastic spring, as shown in 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?
A block of mass \( m_1 = 3 \text{ kg} \) is moving on a frictionless horizontal surface with a velocity of \( u_1 = 16 \text{ m/s} \) towards another block of mass \( m_2 = 9 \text{ kg} \) that is moving on the same surface with a velocity of \( u_2 = 8 \text{ m/s} \) in the same direction. A massless spring of spring constant \( k = 36 \text{ N/m} \) is attached to \( m_2 \) as shown in figure above. When block \( m_1 \) collides with the spring, what is the maximum change in the spring's length?