Spring Loaded Rocket Launcher

Spring Loaded Rocket Launcher#

A foam rocket launcher consists of a compressed spring attached to a platform of mass $m_{p}$ , which when released collides with a stationary rocket setting it into motion.

A simplified cross-sectional view of the launch module is shown above.

$x_{0} = p a r a m s . x 0 m$ , $x_{1} = p a r a m s . x 1 m$ , $m_{p} = p a r a m s . m p k g$ , $m_{r} = p a r a m s . m r k g$ , $k = p a r a m s . k$ .

Part 1#

If the spring is un-deformed at the point of impact $x_{0}$ , determine the speed $u_{p}$ of the platform just before it hits the rocket.
Neglect the mass of the spring and any resistive forces. Assume the launcher is fixed to the ground.

Answer Section#

Please enter in a numeric value in $m / s$ .

Part 2#

If the coefficient of restitution between the two colliding surfaces is $e = p a r a m s . e$ , calculate the final speeds of both the rocket and the platform.
Neglect the effects of gravity and force in the spring during the duration of impact.
What is $v_{p}$ ?

Answer Section#

Please enter in a numeric value in $m / s$ .

Part 3#

What is $v_{r}$ ?

Answer Section#

Please enter in a numeric value in $m / s$ .

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.

Spring Loaded Rocket Launcher

Contents

Spring Loaded Rocket Launcher#

Part 1#

Answer Section#

Part 2#

Answer Section#

Part 3#

Answer Section#

Attribution#