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.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 2.🏋️ A force of 440 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 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 machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 5.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 6.🏋️ A force of 160 N did 1440 J of work. How many metres did the object move?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 8.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 11.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Pushing a crate 5 m took 1950 J of work. What force was used, in newtons?
- 13.🏋️ A force of 480 N did 1920 J of work. How many metres did the object move?
- 14.🏋️ A force of 440 N did 2200 J of work. How many metres did the object move?
- 15.🏋️ A force of 460 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ 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)
- 18.🏋️ Pushing a crate 4 m took 760 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 3 m took 1380 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 180 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 27.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 270 N did 1080 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 8 m took 960 J of work. What force was used, in newtons?
- 34.🏋️ 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?
- 35.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 6 m took 1800 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 6 m took 1380 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 9 m took 1530 J of work. What force was used, in newtons?
- 40.🏋️ A force of 190 N did 1900 J of work. How many metres did the object move?
Answer key
- load ÷ effort
- 3520
- 360
- 6
- less effort
- 9
- no, work stays the same
- 1
- 300
- through a distance
- 80
- 390
- 4
- 5
- 2760
- 20
- 900
- 190
- 350
- 2
- 5
- 460
- 5
- 2800
- 1080
- 6
- 600
- 80
- 5
- 80
- 4
- 4
- 120
- 800
- 3
- 200
- 300
- 230
- 170
- 10
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