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3 votes

Finding the average force required to stretch a spring

The force required to stretch the spring by $3$ m is $60$ N. The force required to stretch the spring by $4$ m is $80$ N. One interpretation of the question is to simply take the average of these two ...
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1 vote
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Different methods give different answers to the compression of spring

Both values of $x$ are correct, but correspond to two different situations. Suppose first that the mass is at rest. The acceleration $a$ is then zero. The sum of the forces on the mass is $F = -kx_1 - ...
1 vote

Different methods give different answers to the compression of spring

If you put a mass on a spring and let go, when it reaches the new equilibrium position it will still have kinetic energy. So your conservation of energy problem is incomplete. Should be $mgx = \frac{...
  • 6,645
1 vote

Different methods give different answers to the compression of spring

For your energy conservation equation to be correct you cannot simply release the mass on the spring but have to slowly lower it and bring it to rest at the displacement $x$. That requires, in ...
  • 63.1k
1 vote

Different methods give different answers to the compression of spring

When you lower a mass a distance of x, the force of gravity is the same all the way down. When you lower a mass and compress a spring, the force of the spring gets bigger as the spring is compressed. ...
  • 31.1k
1 vote

Different methods give different answers to the compression of spring

This is happening because you are converting whole amount of gravitational potential energy into the potential energy of spring which will further start oscillating as it will compress more than usual....
1 vote
Accepted

How to find amount of energy which goes to heat in a system of damped springs in a gravity field?

So, to be clear, you have several bodies that gravitationally attract each other, with some have spring-dampers connected between them too? Assuming Newtonian gravity and Hookian springs, the PE is ...

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