A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 8,600 N/m. (a) By how much would the spring be compressed by the child if she simply balanced herself vertically on the pedals of the stick? (Give your answer in cm.) _______ cm (b) How much energy (in J) is stored in the spring under this circumstance? ________ J

A block attached to a horizontal spring that has a spring constant of 20 N/m oscillates between x = - 0.63 m and x = 0.63 m on a frictionless surface as shown. What is the kinetic energy of the block when its position is at x = 0, in Joules?  Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

Let's see if you can apply what you learned about conservation of energy information about potential energy, kinetic energy, and total energy of the system. In the figure below, a simple pendulum is represented at various positions of its motion. The pendulum has a mass of 0.82 kg and in figure (a) it is moved to a maximum vertical position of 2.1 m. It is released from that position (starts from rest at the top of its motion, highest position) and is allowed to oscillate back and forth. We assume that there is no air resistance or friction in this example, so the pendulum would continue to oscillate forever unless a force was applied to stop it. We also assume that the acceleration due to gravity is 10 m/s2. Fill in the table below for the potential and kinetic energy of the pendulum mass at the various positions of its motion.Start by calculating the potential energy at the highest position using the fact that PE = mgh. At the highest position, the object is released and thus has no…

A block with a mass 3.7 kg is sitting on a frictionless ramp with a spring at rhe bottom that has a spring constant of 540 N/m. The angle of the ramp in respect to the horizontal is 36 degrees.  1) the block starts from rest and slides down the ramp a distance of 69cm before hitting the spring. how far is the spring compressed as the block comes to momentary rest? 2) after the block comes to rest the spring pushes the block back up the ramp. how fast is the block moving right after it comes off the spring.  3) what is the change in gravitational potential energy between the original positiion of the block at the top of the ramp and the position of the block when the spring is fully compressed?

What is the spring constant of the spring as shown, in N/m? Use g = 10 m/s². Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. 100 g 10 20 30 40 50 60 70 80 90 3

An object of mass 0.5 kg is propelled up an incline of angle 17 degrees by a spring with a constant of 11.4 N/m. The horizontal surface is frictionless. The coefficient of kinetic friction between the block and the incline is 0.12. If the spring is compressed by 0.6 m, how high (h shown on the figure) will the object go? Answer in m with two decimals. k, x IM 1-?

KE of a simple pendulum Due in 6 hours, 20 minutes 70 60 50 40 30 20 10 -100 -50 50 100 e (mrad) In the figure above, the kinetic energy of a simple pendulum is plotted against its angle 0 from the vertical. If the mass of the pendulum bob is 1.14 kg, what is the length of the pendulum? 0.537 m Submit Answer Incorrect. Tries 9/10 Previous Tries Kinetic Energy (mJ)

A 388 g mass is hung on the spring assembly shown below. The mass stretches the springs to equilibrium. Each spring has a spring constant of 0.75 N/cm. Use g = 10 N/kg.   Determine the work done in Joules on the bottom spring by the mass. Note: All units should be in kg and m.