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 machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 2.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 3.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 4.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 10 N did 20 J of work. How many metres did the object move?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 7.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 130 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 11.🏋️ A 7 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.🏋️ Pushing a crate 9 m took 450 J of work. What force was used, in newtons?
- 13.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 17.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 19.🏋️ A force of 170 N did 1360 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 22.🏋️ 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?
- 23.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 26.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 28.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 29.🏋️ A force of 250 N did 1750 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 31.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 9 m took 2430 J of work. What force was used, in newtons?
- 33.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 170 N did 1530 J of work. How many metres did the object move?
- 35.🏋️ A force of 390 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 38.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 40.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 2
- through a distance
- joule (J)
- 500
- 2
- no, work stays the same
- 200
- 100
- 520
- 220
- 210
- 50
- 9
- 150
- 400
- 120
- 750
- 40
- 8
- 300
- 2100
- 120
- 60
- 650
- 1
- 640
- 4
- less effort
- 7
- 140
- 4
- 270
- 120
- 9
- 3900
- 250
- load ÷ effort
- 30
- 2
- 90
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