A 2.00-kg block slides on a frictionless horizontal surface and is connected on one side to a spring with a spring constant of 45.0 N/m) as shown the figure. The other side is connected to a 4.00-kg block that hangs vertically. The system starts from rest with the spring unextended.

(a) What is the maximum extension of the spring?

(b) What is the speed of the 4.00-kg block when the extension is 50 cm?

A 50 g block is attached to a vertical spring with spring constant, k = 4 Nm-1. The block is released at the position where the spring is unextended. What is the extension of the spring when the block is in equilibrium?

A 11.0 g bullet is fired horizontally into a 107 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 154 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 74.0 cm, what was the speed of the bullet at impact with the block?

A 12.0-g bullet is fired horizontally into a 100-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having a spring constant of 150 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 80.0 cm, what was the speed of the bullet at impact with the block?