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Question 76 of 84 in Units (Forces and Motion)

Units (Forces and Motion)

3 marks · Hard

A laboratory uses special scales that output mass readings in grams (g). An object on such a scale measures 6350 g.

(a)

Convert this mass into kilograms, giving the correct unit and symbol.

[1 mark]
(b)

If the object exerts a weight of exactly 62.3 N on the scales, calculate the local gravitational field strength in N/kg (give your answer to 2 decimal places, including the correct unit and symbol).

[2 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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(a) 6.35 kg · must show kg

(b) 9.82 N/kg · must show N/kg

Must show: kg, N/kg

Common mistakes: leaving mass in g; omitting units

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · Converts 6350 g to 6.35 kg; includes correct unit and symbol.

M1 (b) · 1 mark · Uses correct formula for g = weight/mass with values substituted.

A1 (b) · 1 mark · Final answer correct to 2 decimal places, correct unit and symbol (N/kg).

Worked solution

a) 6350 g = 6350/1000 = 6.35 kg

b) Gravitational field strength g = weight/mass = 62.3 N / 6.35 kg = 9.811.... = 9.82 N/kg (2 d.p.)

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