Practise questions · Salam Academy

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-MO3-0081 markL1 FoundationCalculatorDirections

After a collision you find

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

, with

A

's original direction positive. This means

Salam Academy Original Practice · Proposed mark scheme

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.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO3-0023 marksL2 StandardCalculatorDirections

Particle

A

(

1

kg) at

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

and particle

B

(

2

kg) at

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

move towards each other. After the collision

A

rebounds at

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

. Find the velocity of

B

after the collision, taking

A

's original direction as positive.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO3-0044 marksL2 StandardCalculatorSeveral collisions

Particle

A

(

2

kg) moving at

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

hits particle

B

(

2

kg) at rest, and

A

is brought to rest.

B

then hits particle

C

(

6

kg) at rest, and

B

and

C

coalesce. Find the speed of

B

after the first collision and the final speed of

B

and

C

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO-0043 marksL3 ExamCalculatorDirections

A (

3

kg,

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

) collides directly with B (

2

kg) moving at

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

in the opposite direction. After the collision A moves back at

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

. Find B's speed after the collision.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO-0074 marksL3 ExamCalculatorSeveral collisions

A (

1

kg,

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

) hits B (

2

kg) at rest and A is brought to rest. B then hits C (

3

kg) at rest and they coalesce. Find B's speed after the first collision and the speed of the combined B and C.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO-0103 marksL3 ExamCalculatorDirections

A (

0.3

kg,

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

) and B (

0.2

kg,

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

) move towards each other and collide. After the collision B moves at

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

in the opposite direction to its original motion. Find the speed of A after the collision.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO3-0064 marksL3 ExamCalculatorDirections

Particle

A

(

4

kg) at

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

and particle

B

(

2

kg) at

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

move directly towards each other. After the collision

B

moves at

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

in

A

's original direction. Find the velocity of

A

after the collision, taking

A

's original direction as positive.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO3-0075 marksL3 ExamCalculatorSeveral collisions

A bullet of mass

0.05

kg moving horizontally at

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

embeds itself in a block of mass

2.45

kg at rest on a smooth table. The block then slides onto a rough horizontal surface with

\mu=0.3

. Find the speed of the block just after the impact and the distance it slides on the rough surface.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO-0116 marksL4 ChallengingCalculatorSeveral collisions

A (

2

kg) moves at

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

and hits B (

1

kg) at rest; they coalesce. The combined particle then hits C (

3

kg), which is moving towards it at

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

, and all three coalesce. Find the final speed and the total loss of kinetic energy.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-MO3-0056 marksL4 ChallengingCalculatorSeveral collisions

Particles

A

(

3

kg),

B

(

1

kg) and

C

(

2

kg) lie in a straight line.

A

moves at

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

towards

B

, which is at rest; after they collide

A

moves on at

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

.

B

then hits

C

(at rest) and rebounds at

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

. Find the speed of

B

after the first collision and the speed of

C

after the second.

Salam Academy Original Practice · Proposed mark scheme

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