May/June 2026 Paper 41

2026 · 6 questions · 12 parts · 50 marks

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Context for question 6

Three small smooth spheres

A

B

and

C

of equal radii and masses

m kg

2 kg

and

4 kg

respectively, lie at rest in that order in a straight line on a smooth horizontal plane. Sphere

A

is projected directly towards

B

with speed

2 m m/s

and

B

is projected directly towards

A

with speed

(m + 2) m/s

. After the spheres collide, both

A

and

B

move in the same direction as

A

's original motion with speeds

2 m/s

and

3.25 m/s

respectively.

6(a)Momentum ImpulseHard4 marks

Find the value of

m

Working

0 words

6(b)Momentum ImpulseHard6 marks

After the collision between

A

and

B

, sphere

B

moves directly towards

C

. Sphere

B

now collides with

C

. After the spheres collide, both

B

and

C

move in the same direction and the loss of kinetic energy due to the collision between

B

and

C

6.875 J

. Determine if there is a further collision between

A

and

B

Working

0 words

Is there a further collision between A and B?

0 words