# A 15g ball is shot from a spring gun whose spring has force constant of 600N/m. The spring is compressed by 5cm. What is the greatest possible horizontal range of the ball for this compression is (take g=10m/s^2)?

##### 1 Answer

10 m

#### Explanation:

The energy stored in the spring is given by:

**k** is the force constant.

**x** is the extension.

I will assume that all this energy will appear as the kinetic energy of the ball:

I will assume that the ball is being launched from the ground as no height is given. The range is given by:

Where

Using The Chain Rule:

This is the launch angle that gives the maximum range.

Using this value gives: