Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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2730 questions · page 72 of 137 · choose a topic above to narrow them down

SA-4024-TV3-0032 marksL2 StandardNon-calculatorVector arithmetic

\mathbf a=\dbinom1{-2}

and

\mathbf b=\dbinom41

. Find

3\mathbf a-2\mathbf b

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SA-4024-TV4-0021 markL2 StandardCalculatorVector paths

\overrightarrow{OA}=\mathbf a

and

\overrightarrow{OB}=\mathbf b

M

is the midpoint of

OA

. Then

\overrightarrow{BM}=

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SA-4024-TV4-0043 marksL2 StandardCalculatorVector paths

\overrightarrow{OA}=\mathbf a

and

\overrightarrow{OB}=\mathbf b

P

lies on

AB

with

AP:PB=3:1

. Write

\overrightarrow{OP}=\lambda\mathbf a+\mu\mathbf b

and find

\lambda

and

\mu

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SA-5054-EL1-0031 markL2 StandardCalculatorMagnets

Soft iron is used for the core of an electromagnet because it

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SA-5054-EL3-0032 marksL2 StandardCalculatorR = V/I

A p.d. of

9.0

V is applied across a

450

Ω resistor. Calculate the current in mA.

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SA-5054-EL3-0051 markL2 StandardCalculatorI–V graphs

The

I

–

V

graph of a filament lamp curves because

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SA-5054-EL4-0031 markL2 StandardCalculatorSeries

In the same circuit (

4.0

Ω and

6.0

Ω in series,

12

1.2

A), calculate the p.d. across the

6.0

Ω resistor.

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SA-5054-EL4-0042 marksL2 StandardCalculatorParallel & dividers

Calculate the combined resistance of

6.0

Ω and

3.0

Ω resistors connected in parallel.

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SA-5054-EL8-0022 marksL2 StandardCalculatorTurns ratio

A transformer changes

240

V to

12

V. Its primary has

2000

turns. Calculate the number of turns on the secondary.

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SA-5054-EL8-0052 marksL2 StandardCalculatorTransmission

An ideal transformer has a primary current of

0.50

A at

230

V. Its secondary voltage is

23

V. Calculate the secondary current.

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SA-5054-MF10-0043 marksL2 StandardCalculatorPressure on surfaces

A box of weight

60

N rests on a face of area

40

cm². Calculate the pressure on the floor in Pa.

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SA-5054-MF4-0032 marksL2 StandardCalculatorResultant force

The motorbike (driving force

500

N, resistive forces

200

N) has a mass of

150

kg. Calculate its acceleration.

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SA-5054-MF7-0023 marksL2 StandardCalculatorMomentum

2.0

kg trolley moving at

3.0

m/s hits a stationary

1.0

kg trolley. They stick together. Calculate their velocity just after the collision.

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SA-5054-MF8-0033 marksL2 StandardCalculatorEnergy

A ball is dropped from a height of

5.0

m. Ignoring air resistance, calculate its speed just before it lands. Take

g=9.8

N/kg.

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SA-5054-MF9-0031 markL2 StandardCalculatorResources

Which energy resource does not get its energy from the Sun?

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SA-5054-MF9-0042 marksL2 StandardCalculatorResource calculations

In a hydroelectric station,

1000

kg of water falls through

50

m. Calculate the gravitational potential energy released, in kJ. Take

g=9.8

N/kg.

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SA-5054-NP3-0042 marksL2 StandardCalculatorHalf-life

An isotope has a half-life of

6

hours. How long does it take for

64

g of it to decay until

4

g remains?

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SA-5054-SP1-0042 marksL2 StandardCalculatorOrbits

The Earth orbits the Sun at a radius of

1.5\times10^{11}

m, taking

3.15\times10^7

s. Calculate its orbital speed in km/s.

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SA-5054-SP2-0052 marksL2 StandardCalculatorThe Universe

Light travels at

3.0\times10^8

m/s and a year is

3.15\times10^7

s. Calculate one light-year in metres, in units of

10^{15}

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SA-5054-TP1-0032 marksL2 StandardCalculatorGases

A gas at

100

kPa has a volume of

6.0

L. It is compressed to

2.0

L at constant temperature. Calculate the new pressure in kPa.

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