A spring with constant $2$ $kgs^-2$ is lying on the ground with one end attached to a wall. An object with a mass of $1/2$ $kg$ and speed of $3/5$ $ms^-1$ collides with and compresses the spring until it stops moving. How much will the spring compress?

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A spring with constant $2$ $kgs^-2$ is lying on the ground with one end attached to a wall. An object with a mass of $1/2$ $kg$ and speed of $3/5$ $ms^-1$ collides with and compresses the spring until it stops moving. How much will the spring compress?

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Answer 1 · 2016-06-05T08:42:57

The kinetic energy of the moving mass, $E_k=1/2mv^2=1/2xx1/2xx(3/5)^2=0.09$ $J$ , will be converted into spring potential energy in the spring, $E_p=1/2kx^2$ . Rearranging, $x=sqrt((2E_p)/k)=sqrt((2xx0.09)/2)=0.30$ $m$ = $30$ $cm$ .

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A spring with constant $2$ $kgs^-2$ is lying on the ground with one end attached to a wall. An object with a mass of $1/2$ $kg$ and speed of $3/5$ $ms^-1$ collides with and compresses the spring until it stops moving. How much will the spring compress?

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A spring with constant 22 kgs^-2kgs^-2 is lying on the ground with one end attached to a wall. An object with a mass of 1/21/2 kgkg and speed of 3/53/5 ms^-1ms^-1 collides with and compresses the spring until it stops moving. How much will the spring compress?

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A spring with constant $2$ $kgs^-2$ is lying on the ground with one end attached to a wall. An object with a mass of $1/2$ $kg$ and speed of $3/5$ $ms^-1$ collides with and compresses the spring until it stops moving. How much will the spring compress?