Question 1
A toy rocket is made from a 1.5 litre plastic bottle with fins attached for stability.
The bottle initially contains 0.30 litres of water, leaving 1.2 litres of trapped air at a temperature of 17 ยฐC. A pump is used to increase the pressure of the air within the plastic bottle to 2.4 ร 105 Pa at the start of lift-off.
Fig. 1.1 shows the rocket at the start of lift-off.
1 litre = 10โ3 m3
Calculate, in moles, the amount of trapped air in the bottle at the start of lift-off.
[2]
The trapped air pushes the water downwards out of the hole, causing the rocket to rise. The temperature of this air remains constant.
Calculate the final pressure of the trapped air just before all the water has been released.
[3]
Use the data above to show that the upwards force on the rocket at the start of lift-off is about 15 N.
[2]
Hence calculate the initial vertical acceleration of the rocket.
initial acceleration =........ m sโ2
[3]
Discuss whether adding more water initially would enable the rocket to reach a greater height.
[3]