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 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 3.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 6.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 290 N did 1160 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 12.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 13.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 14.🏋️ Pushing a crate 1 m took 460 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 5 m took 2350 J of work. What force was used, in newtons?
- 16.🏋️ 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?
- 17.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 19.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 20.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 21.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 22.🏋️ A force of 150 N did 750 J of work. How many metres did the object move?
- 23.🏋️ A force of 20 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 200 N did 1000 J of work. How many metres did the object move?
- 28.🏋️ A 13 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.🏋️ Pushing a crate 4 m took 1320 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 7 m took 700 J of work. What force was used, in newtons?
- 31.🏋️ A force of 470 N did 940 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 33.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 2 m took 260 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ 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?
- 37.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 2720
- less effort
- 360
- 1350
- no, work stays the same
- 1800
- 380
- 4
- 90
- 50
- 7
- 5
- joule (J)
- 460
- 470
- 210
- 3
- 410
- load ÷ effort
- 260
- through a distance
- 5
- 140
- 540
- 6
- 300
- 5
- 520
- 330
- 100
- 2
- 370
- 350
- 130
- 700
- 360
- 100
- 4
- 2
- 1440
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