A pogo stick has a spring with a force constant of 2.50×104 N/m , which can be compressed 12.0 cm. To what maximum height can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40.0 kg? Explicitly show how you follow the steps in the Problem-Solving Strategies for Energy.

a spring bumper is used to bring a moving cart to rest. Suppose the cart has a mass of 100kg, and it's moving at a speed of 7m/s before it hits the spring. If the spring is compressed by 25cm, bringing the car to rest, what is the spring constant of the spring?

Answer parts a, b and c of the following question.7. a) You want to store 1,000 J of energy in an ideal spring when it is compressed by only 2.5 cm. What should be the force constant (spring constant) of this spring? b) A very light ideal spring having a spring constant (force constant) of 8.2 N/cm is used to lift a 2.2-kg tool with an upward acceleration of 3.25 m/s2. If the spring has negligible length when it us not stretched, how long is it while it is pulling the tool upward? c) How fast must a 6.0-kg cat run to have a kinetic energy of 150 J?

The figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units

A box slides on a frictionless surface with a total energy of 50 J. It hits a spring and compresses the spring a distance of 25 cm from equilibrium. If the same box with the same initial energy slides on a rough surface, it only compresses the spring a distance of 15 cm, how much energy must have been lost by sliding on the rough surface?

A 28 kg child jumps on a spring-driven pogo stick. At one point, the child stands on the stick so that only their weight pushes the spring down. If the spring compresses by 8 cm,  a) What is the spring constant of the pogo stick?b) What is the spring potential energy?

A 12.0 kg box is given an initial push that starts it sliding across the floor. It eventually comes to a stop. If the box has an initial velocity of 3.5 m/s, how much work is done by friction to cause it to come to a stop? (Yes, you are correct, you do not know the coefficient of friction.)

A mouse is on a crazy roller coaster which has five distinct phases.  The mouse in his roller coaster car has a mass of 6 kg. The mouse starts the coaster by being pulled back 0.2 m into a spring with a spring constant of 1890 N/m. How much elastic potential energy does the mouse have as he starts his ride? After the spring is released, the mouse travels over the first hill, effectively coming to rest at the top. Calculate the height of the first hill? He then speeds into a valley. At the bottom of the valley 3 J of energy is lost due to friction. What is his total remaining energy after he travels through the valley? The mouse then travels over a 0.10 m hill. How fast is the mouse traveling over the hill at point D?  The mouse finally makes it to the final phase of the ride, where he will race along at ground level. How fast is he traveling at point E?

The figure shows an 8.2 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 33 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number i Units N/m (b) Number Units (c) Number Units (d) Number Units cm

Your answer is partially correct. The figure shows an 7.8 kg stone at rest on a spring. The spring is compressed 9.9 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number 172 Units N/m (b) Number 49.75 Units J (c) Number 79.75 Units (d) Number 64.7 Units cm