Practise questions · Salam Academy

SA-9709-P4-KM2-0023 marksL1 FoundationCalculatorVertical motion

A ball is thrown vertically upwards at

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

. Find the time it takes to reach its greatest height, and that height above the point of projection.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM3-0013 marksL1 FoundationCalculatorGraphs

A particle accelerates uniformly from rest to

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

in

5

s, then decelerates uniformly to rest in a further

10

s. Find the deceleration and the total distance travelled.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM4-0013 marksL1 FoundationCalculatorCalculus

A particle has displacement

s=t^3-3t^2+5

m at time

t

s. Find its velocity and its acceleration when

t=2

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-KM-G013 marksL1 FoundationCalculatorsuvat

A particle has initial velocity

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

and constant acceleration

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

. Find its velocity after

5

s and its displacement in that time.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO-0012 marksL1 FoundationCalculatorCoalescing

A particle of mass

3

kg moving at

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

collides with a particle of mass

1

kg at rest. They coalesce. Find their common speed.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO-0022 marksL1 FoundationCalculatorConservation

A (

2

kg) moving at

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

hits B (

3

kg) at rest. Afterwards A moves at

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

in the same direction. Find B's speed.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO-0062 marksL1 FoundationCalculatorCoalescing

A truck of mass

2000

kg moving at

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

hits a stationary truck of mass

1000

kg and they couple together. Find their common speed.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO1-0012 marksL1 FoundationCalculatorMomentum

Find the momentum of a car of mass

1200

kg travelling at

72

km/h.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO2-0012 marksL1 FoundationCalculatorCoalescing

A particle of mass

4

kg moving at

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

hits a particle of mass

2

kg at rest. They coalesce. Find their common speed.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO3-0013 marksL1 FoundationCalculatorDirections

Particle

A

(

3

kg) moving at

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

and particle

B

(

2

kg) moving at

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

move directly towards each other and coalesce. Find the speed of the combined particle (it moves in

A

's original direction).

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO3-0032 marksL1 FoundationCalculatorDirections

A

2

kg trolley moving at

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

and a

3

kg trolley moving at

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

roll directly towards each other and stick together. Find their speed afterwards.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO-G011 markL1 FoundationCalculatorMomentum

Find the momentum of a

0.5

kg ball moving at

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

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL-0012 marksL1 FoundationCalculatorF = ma

A car of mass

1200

kg has a driving force of

3000

N and experiences a resistance of

600

N. Find its acceleration.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL-0054 marksL1 FoundationCalculatorConnected particles

Particles of mass

3

kg and

2

kg are connected by a light inextensible string over a smooth pulley and hang freely. Find the acceleration and the tension.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL1-0012 marksL1 FoundationCalculatorF = ma

A particle of mass

3

kg is pushed along a horizontal surface by a force of

20

N against a resistance of

8

N. Find its acceleration.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL2-0012 marksL1 FoundationCalculatorSlopes

A particle is released from rest on a smooth plane inclined at

20^\circ

. Find its acceleration, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL2-0022 marksL1 FoundationCalculatorSlopes

A particle of mass

4

kg is pulled up a smooth plane inclined at

30^\circ

by a force of

30

N acting parallel to the plane. Find its acceleration.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL3-0014 marksL1 FoundationCalculatorConnected particles

Particles of mass

5

kg and

3

kg are connected by a light inextensible string passing over a smooth pulley, and hang freely. They are released from rest. Find the acceleration and the tension.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL3-0024 marksL1 FoundationCalculatorConnected particles

A

6

kg block on a smooth horizontal table is connected by a light string over a smooth pulley at the edge of the table to a

2

kg particle hanging freely. Find the acceleration and the tension.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-NL4-0012 marksL1 FoundationCalculatorLifts

An empty lift of mass

800

kg accelerates upwards at

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

. Find the tension in the cable.

Salam Academy Original Practice · Proposed mark scheme

Question bank