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.🏋️ Pushing a crate 8 m took 1520 J of work. What force was used, in newtons?
- 2.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 4.🏋️ 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?
- 5.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 6.🏋️ Pushing a crate 9 m took 1980 J of work. What force was used, in newtons?
- 7.🏋️ A force of 380 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 13.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 5 m took 150 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 17.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 20.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 23.🏋️ Pushing a crate 7 m took 1400 J of work. What force was used, in newtons?
- 24.🏋️ A force of 240 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ A 1 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 7 m took 2660 J of work. What force was used, in newtons?
- 27.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 28.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 5 m took 2200 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 9 m took 990 J of work. What force was used, in newtons?
- 38.🏋️ A force of 290 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ 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?
- 40.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
Answer key
- 190
- 3
- no, work stays the same
- 350
- less effort
- 220
- 2660
- 3
- 500
- 3
- 3760
- 8
- 180
- 30
- 5
- 6
- 800
- 50
- 230
- 210
- 900
- load ÷ effort
- 200
- 1680
- 40
- 380
- through a distance
- 2
- 1360
- 60
- 6
- 4
- 440
- 5
- 4
- 150
- 110
- 870
- 360
- 2
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