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23 problems tagged with Spring
P0527
Beginner Mechanics › Work and EnergyCork Gun Spring Propulsion Dynamics
Figure applies to the spring in a cork gun; it shows the spring force as a function of the stretch or compression of the spring. The spring is compressed by 5.5 cm and used to propel a 3.8 g cork from the gun.
- What is the speed of the cork if it is released as the spring passes through its relaxed position?
- Suppose, instead, that the cork sticks to the spring and stretches it 1.5 cm before separation occurs. What now is the speed of the cork at the time of release?
P0528
Beginner Mechanics › Work and EnergyBlock Sliding Down an Incline into a Spring
A block of mass $m = 12$ kg is released from rest on a frictionless incline of angle $\theta = 30^\circ$. Below the block is a spring that can be compressed 2.0 cm by a force of 270 N. The block momentarily stops when it compresses the spring by 5.5 cm.
- How far does the block move down the incline from its rest position to this stopping point?
- What is the speed of the block just as it touches the spring?
P0530
Beginner Mechanics › Work and EnergyFalling Elevator with Spring and Friction
An 1800 kg elevator cab's cable snaps when it is at rest. The cab bottom is a distance $d = 3.7$ m above a spring with a spring constant of $k = 0.15$ MN/m. A safety device provides a constant frictional force of $f_k = 4.4$ kN that opposes the cab's motion.
- Find the speed of the cab just before it hits the spring.
- Find the maximum distance $x$ that the spring is compressed.
- Find the distance that the cab will bounce back up the shaft.
- Using conservation of energy, find the approximate total distance the cab will move before coming to rest.
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