Practise questions | Salam Academy

SA-9709-P4-FE-0064 marksL2 StandardCalculatorInclined planes

A block of mass

2

kg rests in equilibrium on a rough plane inclined at

30^\circ

. Find the friction force, the normal reaction (3 s.f.), and the least possible value of

\mu

(3 s.f.).

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SA-9709-P4-FE1-0063 marksL2 StandardCalculatorResolving

A force has horizontal component

12

N and vertical component

5

N. Find its magnitude and the angle it makes with the horizontal, in degrees to 1 decimal place.

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SA-9709-P4-FE2-0024 marksL2 StandardCalculatorEquilibrium

A particle of weight

30

N hangs on a light string. It is held aside by a horizontal force of

16

N and rests in equilibrium. Find the tension in the string and the angle the string makes with the vertical (1 d.p.).

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SA-9709-P4-FE2-0054 marksL2 StandardCalculatorEquilibrium

A particle is in equilibrium under three forces:

P

N due east,

Q

N due north, and

10

N in the direction

30^\circ

south of west. Find

P

(3 s.f.) and

Q

.

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SA-9709-P4-FE4-0023 marksL2 StandardCalculatorRough slopes

A block of mass

3

kg rests on a rough plane inclined at

25^\circ

and is on the point of slipping down it. No other force acts apart from weight, normal reaction and friction. Find

\mu

, correct to 3 significant figures.

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SA-9709-P4-KM-0024 marksL2 StandardCalculatorVertical motion

A ball is thrown vertically upwards from ground level at

15\ \text{m s}^{-1}

. Find its greatest height and the time until it returns to the ground.

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SA-9709-P4-KM-0053 marksL2 StandardCalculatorGraph unknowns

A train accelerates uniformly from rest to

V\ \text{m s}^{-1}

in

10

s, travels at

V

for

20

s, then decelerates uniformly to rest in

10

s. The total distance is

600

m. Find

V

.

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SA-9709-P4-KM-0065 marksL2 StandardCalculatorCalculus

A particle moves in a straight line with velocity

v=3t^2-12t+9\ \text{m s}^{-1}

. Find the times when it is at rest, its acceleration when

t=4

, and its displacement from its starting point at

t=1

.

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SA-9709-P4-KM-0083 marksL2 StandardCalculatorCalculus

A particle starts from rest with acceleration

a=6-2t\ \text{m s}^{-2}

. Find its greatest velocity.

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SA-9709-P4-KM-0103 marksL2 StandardCalculatorsuvat

A car travelling at

72

km/h brakes with deceleration

5\ \text{m s}^{-2}

. Find the stopping distance.

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SA-9709-P4-KM2-0045 marksL2 StandardCalculatorVertical motion

A stone is thrown vertically upwards at

12\ \text{m s}^{-1}

from the top of a cliff

32

m above the sea. Find the time it takes to reach the sea and its speed as it does so.

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SA-9709-P4-KM3-0033 marksL2 StandardCalculatorGraphs

A displacement–time graph consists of three straight segments: from

(0,0)

to

(4,20)

, then to

(10,20)

, then to

(15,0)

, with

t

in seconds and

s

in metres. Find the velocity in the final stage, and the average speed for the whole

15

s.

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SA-9709-P4-KM3-0064 marksL2 StandardCalculatorGraphs

A particle's velocity changes uniformly from

6\ \text{m s}^{-1}

to

-4\ \text{m s}^{-1}

over

5

s. Find its displacement and the distance it travels in this time.

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SA-9709-P4-KM4-0024 marksL2 StandardCalculatorCalculus

A particle starts from rest at

O

and moves with acceleration

a=4t\ \text{m s}^{-2}

. Find its velocity and its displacement from

O

when

t=3

.

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SA-9709-P4-KM4-0053 marksL2 StandardCalculatorCalculus

A particle moves with velocity

v=2t^2-8t+10\ \text{m s}^{-1}

. Find the time at which its velocity is least, and the least velocity.

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SA-9709-P4-MO-0033 marksL2 StandardCalculatorDirections

Particle A (

2

kg,

5\ \text{m s}^{-1}

) and particle B (

4

kg,

3\ \text{m s}^{-1}

) move towards each other and coalesce. Find the speed of the combined particle, and its direction.

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SA-9709-P4-MO-0053 marksL2 StandardCalculatorKE loss

For the

3

kg and

1

kg particles that coalesce (speed

4\ \text{m s}^{-1}

before,

3\ \text{m s}^{-1}

after), find the loss of kinetic energy.

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SA-9709-P4-MO-0082 marksL2 StandardCalculatorMomentum

A ball of mass

0.2

kg hits a wall at

10\ \text{m s}^{-1}

and rebounds along the same line at

6\ \text{m s}^{-1}

. Find the magnitude of its change in momentum.

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SA-9709-P4-MO1-0042 marksL2 StandardCalculatorMomentum

A ball of mass

0.5

kg hits the floor at

6\ \text{m s}^{-1}

and rebounds vertically at

4\ \text{m s}^{-1}

. Find the magnitude of its change in momentum.

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SA-9709-P4-MO2-0023 marksL2 StandardCalculatorKE loss

For the collision in which a

4

kg particle at

6\ \text{m s}^{-1}

coalesces with a

2

kg particle at rest (common speed

4\ \text{m s}^{-1}

), find the loss of kinetic energy.

Salam Academy Original Practice · Proposed mark scheme

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