# Projectile launcher problem?

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A projectile launcher is set on a table so that the ball becomes a projectile at a height of 1.2 meters above the floor. The mass of the ball is 10 grams (0.01kg). A plunger is used to push the ball into the barrel of the launcher, compressing the spring a distance of 10 cm (.10m) before it is ready to launch. It is launched at an angle of 30 degrees above the horizontal. The ball travels a horizontal distance of 4 meters before striking the floor below. **Determine the force constant of the spring that shot the ball in this fashion. **

A projectile launcher is set on a table so that the ball becomes a projectile at a height of 1.2 meters above the floor. The mass of the ball is 10 grams (0.01kg). A plunger is used to push the ball into the barrel of the launcher, compressing the spring a distance of 10 cm (.10m) before it is ready to launch. It is launched at an angle of 30 degrees above the horizontal. The ball travels a horizontal distance of 4 meters before striking the floor below. **Determine the force constant of the spring that shot the ball in this fashion. **

##### 1 Answer

#### Explanation:

Let

where

Follows the

so the non-parametric orbit equation is

now

but

with

Now solving for

with

giving

and finally