Work & Power — Drills · Grade 12 Science

Chapter: Work, Energy & Momentum

What these drills covers

By the end of Work & Power you should be able to:

6 questions, numeric, multiple choice and written answer, each with a worked explanation.

Vocabulary used: work, joule (J), work-energy theorem, power, watt (W).

Problem 1

A 15 N force pushes a box 6.0 m in the direction of the force. How much work is done?
Answer and explanation

90 J

W = Fd = 15 × 6.0 = 90 J.

Problem 2

A motor does 300 J of work in 2.0 s. Find its power output.
Answer and explanation

150 W

P = W/t = 300 ÷ 2.0 = 150 W.

Problem 3

How much work is done lifting a 20 kg box 5.0 m straight up at constant speed? (g = 9.8 m/s²)
Answer and explanation

980 J

The lifting force equals the weight mg = 20 × 9.8 = 196 N. W = Fd = 196 × 5.0 = 980 J.

Problem 4

The SI unit of power is the…
  1. joule
  2. newton
  3. watt
  4. pascal
Answer and explanation

watt

Power is the rate of doing work, measured in watts (1 W = 1 J/s). The joule is the unit of work and energy.

Problem 5

Explain the difference between work and power, and give the unit of each.
Answer and explanation

Work is the energy transferred when a force acts through a displacement (W = Fd), measured in joules. Power is the rate at which work is done or energy is transferred (P = W/t), measured in watts. Two machines can do the same amount of work, but the one that does it in less time has greater power.

Problem 6

A locomotive pulls with a steady 20,000 N force while moving at a constant 15 m/s. Find the power it delivers. (P = Fv)
Answer and explanation

300000 W

P = Fv = 20,000 × 15 = 300,000 W (300 kW).

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