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Question 12 of 18 in FORCE, MASS AND ACCELERATION

FORCE, MASS AND ACCELERATION

3 marks · Normal

A car of mass 1,000 kg experiences a forward driving force of 4,000 N and a frictional force of 1,200 N in the opposite direction. Calculate the acceleration of the car. Show all your working.

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2.8 m/s^2 (±0.05)

Must show: Calculates resultant force, Substitutes m and F, Final answer with unit

Also accept: Final answer rounded to 3 significant figures

Common mistakes: Forgetting to subtract friction; Wrong units

Show mark scheme and worked solution

Marking points

M1 · 1 mark · Determines resultant force: 4,000 N - 1,200 N = 2,800 N.

M2 · 1 mark · Substitutes mass and resultant force into F = m × a or equivalent. (follow-through)

A1 · 1 mark · Obtains final answer 2.8 m/s^2 with correct unit. (follow-through)

Worked solution

1. Find resultant (unbalanced) force: 4,000 N (forward) - 1,200 N (friction) = 2,800 N (forward).

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