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6677 edexcel gce mechanics m1 advanced advanced subsidiary 3

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1. A particle moves in a circle with radius 5 m. If the particle has a speed of 10 m/s, what is its
centripetal acceleration?

A. 2 m/s²

B. 5 m/s²

C. 10 m/s²
D. 20 m/s²

Answer: C) 10 m/s²

Rationale: Centripetal acceleration is given by ac=v2ra_c = \frac{v^2}{r}ac=rv2,

ac=1025=20a_c = \frac{10^2}{5} = 20ac=5102=20 m/s².



2. A force of 5 N is applied to a 2 kg object. What is the acceleration of the object?

A. 1 m/s²

B. 2.5 m/s²

C. 5 m/s²

D. 10 m/s²

Answer: B) 2.5 m/s²

Rationale: Using F=maF = maF=ma, a=Fm=52=2.5a = \frac{F}{m} = \frac{5}{2} =
2.5a=mF=25=2.5 m/s².


3. A spring is compressed by 0.3 m. If the spring constant is 500 N/m, what is the potential
energy stored in the spring?

A. 22.5 J

B. 25 J

C. 30 J

D. 35 J

Answer: B) 25 J

,Rationale: PE=12kx2PE = \frac{1}{2} k x^2PE=21kx2,

PE=12×500×0.32=25PE = \frac{1}{2} \times 500 \times 0.3^2 = 25PE=21×500×0.32=25 J.



4. A force of 20 N is applied to a 5 kg object, causing it to accelerate. What is the acceleration of
the object?

A. 2 m/s²

B. 4 m/s²
C. 5 m/s²

D. 10 m/s²

Answer: B) 4 m/s²

Rationale: Using F=maF = maF=ma, a=Fm=205=4a = \frac{F}{m} = \frac{20}{5} =
4a=mF=520=4 m/s².



5. A particle of mass 4 kg is moving with a velocity of 3 m/s. What is its momentum?

A. 10 kg·m/s

B. 12 kg·m/s

C. 14 kg·m/s

D. 16 kg·m/s

Answer: B) 12 kg·m/s
Rationale: p=mv=4×3=12p = mv = 4 \times 3 = 12p=mv=4×3=12 kg·m/s.


6. A mass of 2 kg is at rest on a horizontal surface. What is the frictional force acting on the
object if there is no applied force?

A. 0 N

B. 2 N

C. 10 N

D. 20 N

Answer: A) 0 N

, Rationale: If no force is applied, the frictional force is zero.



7. A block of mass 3 kg is placed on a smooth inclined plane of angle 60∘60^\circ60∘. What is
the acceleration of the block along the plane?

A. 3.5 m/s²

B. 5 m/s²

C. 9.8 m/s²

D. 15 m/s²

Answer: A) 3.5 m/s²

Rationale: The acceleration is a=gsin⁡θ=9.8×sin⁡(60∘)≈9.8×0.866=8.5a = g\sin\theta = 9.8
\times \sin(60^\circ) \approx 9.8 \times 0.866 = 8.5a=gsinθ=9.8×sin(60∘)≈9.8×0.866=8.5 m/s².



8. A ball is thrown upwards with a speed of 10 m/s. What will be its speed when it reaches half
of its maximum height?

A. 5 m/s
B. 7 m/s

C. 10 m/s

D. 0 m/s

Answer: B) 7 m/s

Rationale: The speed will be the same as when it was initially thrown upwards, assuming no
energy losses. As the ball reaches halfway, its kinetic energy decreases, but not all of it is lost.



9. A 10 kg mass is moving at 15 m/s. What is its momentum?

A. 150 kg·m/s

B. 100 kg·m/s

C. 200 kg·m/s

D. 300 kg·m/s
Answer: A) 150 kg·m/s
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