H556/03 Unified physics
Time allowed: 1 hour 30 minutes
You must have:
The Data, Formulae and Relationships Booklet (sent
with general stationery)
You may use:
a scientific or graphical calculator
a ruler (cm/mm)
Please write clearly in black ink. Do not write in the barcodes.
Centre number Candidate number
First name(s)
Last name
INSTRUCTIONS
• Use black ink. You may use an HB pencil for graphs and diagrams.
• Answer all the questions.
• Where appropriate, your answers should be supported with working.
Marks may be given for a correct method even if the answer is incorrect.
• Write your answer to each question in the space provided. If additional
space is required, use the lined page(s) at the end of this booklet. The
question number(s) must be clearly shown.
INFORMATION
• The total mark for this paper is 70.
• The marks for each question are shown in brackets [ ].
• Quality of extended responses will be assessed in questions
marked with an asterisk (*).
• This document consists of 24 pages.
Turn over
, 2
Answer all the questions
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 °C.
A pump is used to increase the pressure of the air within the plastic bottle to 2.4 × 10 5
Pa at the start of lift-off.
Fig. 1.1 shows the rocket at the start of
lift-off. 1 litre = 10–3 m3
trapped air
water
fin
hole
Fig. 1.1
(a) Calculate, in moles, the amount of trapped air in the bottle at the start of lift-off.
amount of air =...........................................mol [2]
, 3
(b) 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.
final pressure =............................................Pa [3]
(c) Here is some data on the toy
rocket. mass of empty bottle and
fins = 0.050 kg
area of cross-section of hole = 1.1 × 10–4
m2 initial pressure of trapped air = 2.4 ×
105 Pa atmospheric pressure = 1.0 × 105
Pa
density of water = 1.0 × 103 kg m–3
(i) Use the data above to show that the upwards force on the rocket at the start
of lift-off is about 15 N.
[2]