Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 2.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 430 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 5.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 9.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 14.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 370 N did 2960 J of work. How many metres did the object move?
- 17.🏋️ A force of 220 N did 880 J of work. How many metres did the object move?
- 18.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 20.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 21.🏋️ A force of 360 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 370 N did 1850 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
- 24.🏋️ A force of 360 N did 3600 J of work. How many metres did the object move?
- 25.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 410 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 1 m took 240 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 37.🏋️ A force of 460 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 2
- 4
- 3870
- no, work stays the same
- 360
- 1
- 900
- through a distance
- 450
- 720
- 240
- 100
- less effort
- 150
- 2800
- 8
- 4
- 240
- 260
- joule (J)
- 2880
- 5
- 380
- 10
- 560
- 230
- 900
- 120
- 510
- 150
- 410
- 650
- 760
- 40
- 240
- 20
- 1840
- 720
- 5
- 750
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