Question

A linear (ie: it obeys Hooke’s Law) spring is placed vertically on the ground. A 200...

A linear (ie: it obeys Hooke’s Law) spring is placed vertically on the ground. A 200 g block is released from a height of 50 cm above the top of the spring and dropped onto it. The block compresses the spring 13 cm before coming to rest.

a) Determine the stiffness constant k of the spring. (Do I include the height here?)

b) Determine the equilibrium position (the place at which it can sit at rest – and remain there) of the block on the spring. How compressed will the spring be at this position?

c) Determine the speed of the block as it passes through the equilibrium position on its way back up

Homework Answers

Answer #1

Please rate it up thanks :)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Pushing on the pump of a bottle of hand washing solution compresses a small spring...
1. Pushing on the pump of a bottle of hand washing solution compresses a small spring which obeys Hooke's Law. If the potential energy of the spring is 0.0030 J when the spring is compressed 0.49 cm,determine the following. (a) the force constant (in kN/m) of the spring kN/m (b) the compression (in cm) needed in order for the spring potential energy to equal 0.0083 J cm 2. You have a light spring which obeys Hooke's law. This spring stretches...
A 2.3 kg object oscillates at the end of a vertically hanging light spring once every...
A 2.3 kg object oscillates at the end of a vertically hanging light spring once every 0.40 s . Write down the equation giving its position y (+ upward) as a function of time t. Assume the object started by being compressed 19 cm from the equilibrium position (where y = 0), and released. Note: the equilibrium position is defined here as that location of the mass at rest when it is freely hung from the spring, not the unstretched...
A 0.48-kg object connected to a light spring with a force constant of 17.8 N/m oscillates...
A 0.48-kg object connected to a light spring with a force constant of 17.8 N/m oscillates on a frictionless horizontal surface. Assume the spring is compressed 4.5 cm and released from rest. (a) Determine the maximum speed of the object. (b) Determine the speed of the object when the spring is compressed 1.8 cm (c) Determine the speed of the object as it passes the point 1.8 cm from the equilibrium position (d) For what value of x does the...
A 0.51-kg object connected to a light spring with a force constant of 20.6 N/m oscillates...
A 0.51-kg object connected to a light spring with a force constant of 20.6 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest. (a) Determine the maximum speed of the object. m/s (b) Determine the speed of the object when the spring is compressed 1.5 cm. m/s (c) Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position. m/s (d) For what value of x...
A 0.55-kg object connected to a light spring with a force constant of 19.8 N/m oscillates...
A 0.55-kg object connected to a light spring with a force constant of 19.8 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest. (a) Determine the maximum speed of the object. m/s (b) Determine the speed of the object when the spring is compressed 1.5 cm. m/s (c) Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position. m/s (d) For what value of x...
A 0.53-kg object connected to a light spring with a force constant of 22.2 N/m oscillates...
A 0.53-kg object connected to a light spring with a force constant of 22.2 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest. (a) Determine the maximum speed of the object. m/s (b) Determine the speed of the object when the spring is compressed 1.5 cm. m/s (c) Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position. m/s (d) For what value of x...
A 0.24 kg mass is attached to a light spring with a force constant of 30.9...
A 0.24 kg mass is attached to a light spring with a force constant of 30.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass b) speed of the oscillating mass when the spring is compressed 1.5 cm (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position (d) value of...
A 0.58 kg mass is attached to a light spring with a force constant of 31.9...
A 0.58 kg mass is attached to a light spring with a force constant of 31.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s...
A 0.68 kg mass is attached to a light spring with a force constant of 36.9...
A 0.68 kg mass is attached to a light spring with a force constant of 36.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass    m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm    m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium...
Finding the Spring Constant We can describe an oscillating mass in terms of its position, velocity,...
Finding the Spring Constant We can describe an oscillating mass in terms of its position, velocity, and acceleration as a function of time. We can also describe the system from an energy perspective. In this experiment, you will measure the position and velocity as a function of time for an oscillating mass and spring system, and from those data, plot the kinetic and potential energies of the system. Energy is present in three forms for the mass and spring system....