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Question 51 of 58 in Work and Power

Work and Power

5 marks · Easy

A box of mass is lifted from the ground onto a platform high. It is then pushed horizontally for along the platform with a force of .

(a)

Calculate the work done to lift the box onto the platform.

[2 marks]
(b)

Calculate the increase in gravitational potential energy (GPE) of the box after lifting.

[1 mark]
(c)

Calculate the work done in moving the box horizontally on the platform.

[1 mark]
(d)

Name the type of energy store that increases as the box is pushed along the platform.

[1 mark]

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(a) 100 J

(b) 100 J

(c) 120 J

(d) Kinetic energy

Common mistakes: Uses mass instead of weight for work against gravity; Forgets to convert units

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Correctly uses work = weight × height or mgh.

A1 (a) · 1 mark · Substitutes and calculates: 5 kg × 10 N/kg × 2 m = 100 J or equivalent.

B1 (b) · 1 mark · States GPE increase is same: 100 J. (follow-through)

A2 (c) · 1 mark · Calculates work for horizontal movement: 30 N × 4 m = 120 J.

B2 (d) · 1 mark · Identifies kinetic energy store as increasing.

Worked solution

a) Work done against gravity = m × g × h

b) The increase in GPE is equal to the work done: 100 J.

c) Work done = force × distance = 30 N × 4 m = 120 J.

d) The box's kinetic energy increases as it is moved.

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