- #1
ReCryptic
- 11
- 0
- Homework Statement
- Estimate the amount of work done on the ball by the spring.
- Relevant Equations
- Work for spring = -1/2kxf^2 + 1/2kxi^2
Kinetic Energy = 1/2mv^2
Potential Spring Energy = 1/2kx^2
The problem is based on a projectile-spring launcher. A ball is loaded into a tube that pushes back a spring and is then launched. The ball was launched straight horizontally not at an angle.
I'm trying to find the work done on the ball by the spring.
The info I have:
Displacement of spring = .05m
Mass of ball = .010kg
Initial height = 0m.
Initial velocity of ball after launch = 2 m/s.
KE = 1/2mv^2
= 1/2 * .01kg * 2m/s^2 = .2J
The spring energy is converted to Kinetic energy after launch so KE = Uspring.
KE = Uspring
.2J = 1/2kx^2
.2J = 1/2k*(.05m)^2
80 = 1/2k
k = 160 N/m.
Is my work so far correct?
I'm trying to find the work done on the ball by the spring.
The info I have:
Displacement of spring = .05m
Mass of ball = .010kg
Initial height = 0m.
Initial velocity of ball after launch = 2 m/s.
KE = 1/2mv^2
= 1/2 * .01kg * 2m/s^2 = .2J
The spring energy is converted to Kinetic energy after launch so KE = Uspring.
KE = Uspring
.2J = 1/2kx^2
.2J = 1/2k*(.05m)^2
80 = 1/2k
k = 160 N/m.
Is my work so far correct?