7 In this question use \(g = 9.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
As part of a competition, Jo-Jo makes a small pop-up rocket.
It is operated by pressing the rocket vertically downwards to compress a light spring, which is positioned underneath the rocket.
The rocket is released from rest and moves vertically upwards.
The mass of the rocket is 18 grams and the stiffness constant of the spring is \(60 \mathrm { Nm } ^ { - 1 }\)
Initially the spring is compressed by 3 cm
7
- Find the speed of the rocket when the spring first reaches its natural length.
7 - By considering energy find the distance that the rocket rises.
7
- In order to win a prize in the competition, the rocket must reach a point which is 15 cm vertically above its starting position.
With reference to the assumptions you have made, determine if Jo-Jo wins a prize or not.
Fully justify your answer.