## anonymous one year ago Suppose a spring-powered gun has a spring with a spring constant of k = 1,000 N/m. How much work can it do in accelerating the projectile if it is compressed by x = 0.10 m? A. 5.0 * 10^-3 J B. 20 J C. 5.0 J D. 10 J

1. anonymous

|dw:1433104033605:dw| i tried to draw the rifles lol :P

2. Michele_Laino

the potential energy stored by a spring is given by the subsequent formula: $EP = \frac{1}{2}k{\left( {\Delta x} \right)^2} = \frac{1}{2} \times 1000 \times {\left( {0.1} \right)^2} = ...Joules$

3. anonymous

we get 0.05 J ?

4. Michele_Laino

are you sure?

5. anonymous

oh oops sorry i forgot a parentheses haha so i got 5 is 5 J our solution?

6. Michele_Laino

yes! since all that potential energy will transform itself in kinetic energy of our projectile

7. anonymous

ahh okie! Yay! :D thanks!!

8. Michele_Laino

:)