A spring with a constant of $6 \frac{k g}{s^{2}}$ $6 (kg)/s^2$ is lying on the ground with one end attached to a wall. An object with a mass of $1 k g$ $1 kg$ and speed of $4 \frac{m}{s}$ $4 m/s$ collides with and compresses the spring until it stops moving. How much will the spring compress?

Question

A spring with a constant of $6 \frac{k g}{s^{2}}$ $6 (kg)/s^2$ is lying on the ground with one end attached to a wall. An object with a mass of $1 k g$ $1 kg$ and speed of $4 \frac{m}{s}$ $4 m/s$ collides with and compresses the spring until it stops moving. How much will the spring compress?

1 Answer

Impact of this question

1799 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-17T13:24:36

$x = \frac{\sqrt{6}}{3} m$ $x=sqrt 6/3 m$

Explanation:

$The Kinetic Energy of Object is : E_{k} = \frac{1}{2} \cdot m \cdot v^{2}$ $"The Kinetic Energy of Object is :"E_k=1/2*m*v^2$
$E_{k} = \frac{1}{2} \cdot 1 \cdot 4^{2} = \frac{1}{2} \cdot 16 J$ $E_k=1/2*1*4^2=1/2*16J$
$The kinetic energy of object turns a potential energy on spring , if spring compresses$ $"The kinetic energy of object turns a potential energy on spring , if spring compresses"$
$E_p=1/2*k*Delta x^2$
$E_k=E_p$
$cancel(1/2)*16=cancel(1/2)*6*Delta x^2$
$Delta x^2=16/6$
$x=sqrt(16/6)$
$x=4*1/sqrt 6$
$x=4*sqrt 6/6$
$x=(2*sqrt 6)/3 m$

Science

Math

Humanities

... and beyond

A spring with a constant of $6 \frac{k g}{s^{2}}$ $6 (kg)/s^2$ is lying on the ground with one end attached to a wall. An object with a mass of $1 k g$ $1 kg$ and speed of $4 \frac{m}{s}$ $4 m/s$ collides with and compresses the spring until it stops moving. How much will the spring compress?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A spring with a constant of 6 (kg)/s^26kgs26 (kg)/s^2 is lying on the ground with one end attached to a wall. An object with a mass of 1 kg1kg1 kg and speed of 4 m/s4ms4 m/s collides with and compresses the spring until it stops moving. How much will the spring compress?

1 Answer

Explanation:

Related questions

Impact of this question

A spring with a constant of $6 \frac{k g}{s^{2}}$ $6 (kg)/s^2$ is lying on the ground with one end attached to a wall. An object with a mass of $1 k g$ $1 kg$ and speed of $4 \frac{m}{s}$ $4 m/s$ collides with and compresses the spring until it stops moving. How much will the spring compress?