- #1

ReCryptic

- 11

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- 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?