maximum height above the point of release

A spring has a force constant of 18.9 N/m and a rest length of 0.35 m.The spring is stretched to a length of 1.2 m and attached to a mass of 0.45 kg. When the spring is released, what is the speed of the mass when the spring has contracted to 0.70 m long?

When a 1 kg mass is hung on a vertical spring, it extends the spring by 0.50 m. What is the spring constant of the spring in N/m? (Assume g = 10m/s2).

A 1.68-kg box rests atop a massless vertical spring with  k = 4170 N/m  that has been compressed by 14.2 cm from its equilibrium position. The box is released and leaves the spring when it reaches its equilibrium position. What is the maximum height the box reaches above its original position?

A block of mass 0.250 kg is placed on top of a light vertical spring of force constant 5000 N/m and pushed downward so that the spring is compressed by 0.100 m. Afterthe block is released from rest, it travels upward and then leaves the spring. To whatmaximum height above the point of release does it rise?

A 0.19 kg mass is held at rest against a compressed spring with a spring constant of 103 N/m. When released, the mass leaves the spring with a speed of 6.28 m/s. Assuming that the spring force is wholly responsible for changing the motion of the mass, by what distance was the spring initially compressed from its equilibrium position? Enter a number with 3 decimal places

Suppose a block of mass 0.9kg is is held against a spring with spring constant 1.0 × 103N/m, compressing it to a distance of 0.15m. What’s the fastest speed the block can have after it is released and the spring pushes it away?

A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the ceiling and its lower end at position y = 0. A block of weight 21 N is attached to the lower end, held still for a moment, and then released. If K = the kinetic energy, ΔUg = the change (from the initial value) in the gravitational potential energy, and ΔUe = the change in the elastic potential energy... What are (j)K, (k) ΔUg, and (l) ΔUe when y = –20 cm?

A large toy car is pushed horizontally by a spring, and the spring has a spring constant of 135 N/m. What is the mass of the toy car if compressing the spring 0.055 m (before the toy starts moving) causes it to reach a speed of 0.75 mis? (Note - the height of the toy does not change.) Solve the problem. (If you get the answer wrong, you can get 0.5 points for correct units.)

The string on a bow can be described as a spring. A particular bow’s string has a spring constant of 110 N/m and is pulled back 0.6 m to launch a 0.02 kg arrow. If the bow has a mass of 1 kg, what will be the speed at which the arrow is launched?