Physics Equations: Recall, Rearrangement and Application - Worksheets, Questions and Revision

21 original exam-style questions - 10 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 11)
« Previous: Life Cycle Assessment, Recycling and CorrosionNext: Physics Required Practicals and Uncertainties »
Revision Library
revisionlibrary.co.uk
GCSE · Physics

P-EQ Physics Equations: Recall, Rearrangement and Application

AQA 8464 · Calculator allowed · about 100 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.

How to use this equations drill

Revision Library

This pack is grouped in the recall/given style used by AQA. Section 1 tests the equations you must memorise: no equation is given, so this is where you practise recalling each one exactly. Section 2 gives you an equation and asks you to rearrange it to make a different quantity the subject - a skill tested somewhere on every physics paper. Section 3 applies the equations to realistic problems: where a calculation needs an equation that would normally be provided on the AQA physics equation sheet in the exam, the equation is given in the question; where it needs one of the equations from Section 1, you are expected to recall it yourself. Always show your working, convert units before you substitute (not after), and give a unit with every final answer. Use gravitational field strength g = 9.8 N/kg throughout unless a question tells you otherwise. A full, itemised mark scheme follows each question.

1
SECTION 1: RECALL. The equations below are all on the list of equations you must memorise for AQA GCSE Physics. No equation is given here - write down each one from memory, in words or in symbols.
(a)Write down the equation that links work done, force and distance moved in the direction of the force.(1)
(b)Write down the equation that links the force needed to stretch a spring to its spring constant and extension.(1)
(c)Write down the equation that links distance travelled to speed and time.(1)
(d)Write down the equation that links acceleration to the change in velocity and the time taken.(1)
(e)Write down the equation that links resultant force to mass and acceleration.(1)
(Total for Question 1 is 5 marks)
2
More equations from the memorise list, this time on energy and momentum.
(a)Write down the equation that links momentum to mass and velocity.(1)
(b)Write down the equation for kinetic energy in terms of mass and speed.(1)
(c)Write down the equation for gravitational potential energy in terms of mass, gravitational field strength and height.(1)
(d)Write down the equation that links weight to mass and gravitational field strength.(1)
(Total for Question 2 is 4 marks)
3
More equations from the memorise list, this time on power and electricity.
(a)Write down the equation that links power to energy transferred and time taken.(1)
(b)Write down the equation that links potential difference, current and resistance.(1)
(c)Write down the equation for electrical power in terms of potential difference and current.(1)
(d)Write down the equation that links charge flow to current and time.(1)
(e)Write down the equation for energy transferred in terms of charge flow and potential difference.(1)
(Total for Question 3 is 5 marks)
4
The last pair of equations from the memorise list, on waves and density.
(a)Write down the equation that links wave speed to frequency and wavelength.(1)
(b)Write down the equation that links density to mass and volume.(1)
(Total for Question 4 is 2 marks)
5
SECTION 2: REARRANGEMENT. Each equation below is given. Rearrange it to make the stated quantity the subject.
(a)F = ma. Make a the subject.(1)
(b)v = f λ. Make f the subject.(1)
(c)s = vt. Make t the subject.(1)
(Total for Question 5 is 3 marks)
6
More single-step rearrangements.
(a)W = Fs. Make F the subject.(1)
(b)ρ = m/V. Make V the subject.(1)
(c)Q = It. Make I the subject.(1)
(Total for Question 6 is 3 marks)
7
These rearrangements need an extra step.
(a)GPE = mgh. Make h the subject.(1)
(b)V = IR. Make R the subject.(1)
(c)KE = 0.5 m v2. Make v the subject.(2)
(Total for Question 7 is 4 marks)
8
Rearrangements involving squared terms, including two equations from the AQA physics equation sheet (Higher Tier only) rather than the memorise list.
(a)P = I2 R. Make I the subject.(2)
(b)This equation is on the AQA equation sheet, not the memorise list: Ee = 0.5 k e2 (elastic potential energy stored in a stretched spring). Make e the subject.(2)
(c)This equation is also on the AQA equation sheet, not the memorise list: p = h ρ g (pressure due to a column of liquid). Make ρ the subject.(1)
(Total for Question 8 is 5 marks)
9
This equation is on the AQA physics equation sheet (Higher Tier only), not the memorise list: v2 - u2 = 2as.
(a)Make a the subject.(2)
(b)Make u the subject.(2)
(Total for Question 9 is 4 marks)
10
SECTION 3: APPLICATION. Kwame cycles to school at an average speed of 4.5 m/s. His journey takes 6 minutes. Using s = vt, calculate the distance Kwame cycles to school, in metres.
(Total for Question 10 is 3 marks)
11
Priya pushes a supermarket trolley with a steady force of 40 N through a distance of 12 m across the car park. Using W = Fs, calculate the work done on the trolley.
(Total for Question 11 is 2 marks)
12
Mei cycles to college. She and her bicycle have a combined mass of 72 kg and are travelling at a velocity of 6.0 m/s. Using p = mv, calculate their momentum.
(Total for Question 12 is 2 marks)
13
An electric kettle transfers 252 kJ of energy to the water in it over 120 s. Using P = E/t, calculate the power of the kettle, in watts.
(Total for Question 13 is 3 marks)
14
A rock sample collected on a geography field trip has a mass of 158 g and a volume of 62 cm3.
(a)Using ρ = m/V, calculate the density of the rock in g/cm3. Give your answer to 3 significant figures.(2)
(b)Convert this density to kg/m3, using the fact that 1 g/cm3 = 1000 kg/m3.(2)
(Total for Question 14 is 4 marks)
15
A car of mass 1200 kg travels at a constant speed of 15 m/s.
(a)Using KE = 0.5 m v2, calculate the kinetic energy of the car.(3)
(b)The car's speed increases to 30 m/s (double its original speed), with its mass unchanged. State the factor by which the car's kinetic energy increases, and explain your answer using the kinetic energy equation.(3)
(Total for Question 15 is 6 marks)
16
A builder's electric hoist lifts a bucket of cement of mass 25 kg through a vertical height of 8.0 m.
(a)Using GPE = mgh, with gravitational field strength g = 9.8 N/kg, calculate the gravitational potential energy gained by the bucket.(2)
(b)The hoist takes 5.0 s to lift the bucket to this height. Using your answer to part (a) and P = E/t, calculate the power output of the hoist's motor.(2)
(Total for Question 16 is 4 marks)
17
REQUIRED PRACTICAL: A student carries out the required practical to investigate the relationship between the force applied to a spring and its extension. She clamps a spring vertically, records its natural (unstretched) length, then hangs a series of slotted masses from the spring, measuring the new length each time with a metre ruler held next to the spring, using a set square to line up her eye level with the bottom of the spring. Her results are shown below.
Force applied, F (N)Extension, e (cm)
1.01.2
2.02.4
3.03.7
4.04.8
5.09.5
(a)Identify the independent variable in this investigation.(1)
(b)State one variable that should be controlled during this investigation, and explain why controlling it matters.(2)
(c)Using the data for a force of 4.0 N, and the equation F = ke, calculate the spring constant, k, of the spring in N/m. Give your answer to an appropriate number of significant figures.(3)
(d)One of the results in the table is anomalous. Identify this result and suggest one possible practical reason for it.(2)
(e)Evaluate the method used in this investigation to determine the spring constant, including the accuracy and reliability of the results, and suggest one improvement to the method.(6)
(Total for Question 17 is 14 marks)
18
A mains phone charger delivers a current of 1.2 A while charging Fatima's phone over a period of 45 minutes.
(a)Using Q = It, calculate the charge that flows to the battery, in coulombs.(3)
(b)The charger operates at a potential difference of 5.0 V. Using your answer to part (a) and E = QV, calculate the energy transferred to the phone battery.(2)
(Total for Question 18 is 5 marks)
19
An electric shower in a UK home is rated at 8.5 kW and operates from the 230 V mains supply.
(a)Using P = VI, calculate the current drawn by the shower, in amps. Give your answer to 3 significant figures.(3)
(b)Using your answer to part (a) and V = IR, calculate the resistance of the shower's heating element.(2)
(Total for Question 19 is 5 marks)
20
A local radio station broadcasts on a frequency of 97.6 MHz. Radio waves travel at a speed of 3.0 x 108 m/s.
(a)Using v = f λ, calculate the wavelength of the signal. Give your answer in metres, to 2 significant figures.(3)
(b)A different station broadcasts on a long-wave frequency of 198 kHz. Using the same method as part (a), calculate the wavelength of this signal, and state which of the two stations (97.6 MHz or 198 kHz) has the longer wavelength.(2)
(Total for Question 20 is 5 marks)
21
A drawing pin has a sharp point with a cross-sectional area of 0.80 mm2. Using p = F/A, calculate the pressure exerted on a noticeboard when a force of 12 N is applied to the pin. Give your answer in pascals, in standard form.
(Total for Question 21 is 3 marks)
Mark scheme · P-EQ Physics Equations: Recall, Rearrangement and Application

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21