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 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 4.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Pushing a crate 7 m took 2870 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 9.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 11.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 12.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 13.🏋️ A force of 270 N did 2700 J of work. How many metres did the object move?
- 14.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 17.🏋️ 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)
- 18.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 20.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 140 N did 140 J of work. How many metres did the object move?
- 22.🏋️ A force of 60 N did 300 J of work. How many metres did the object move?
- 23.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 24.🏋️ A force of 480 N did 960 J of work. How many metres did the object move?
- 25.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 6 m took 1860 J of work. What force was used, in newtons?
- 27.🏋️ A force of 200 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 160 N did 1120 J of work. How many metres did the object move?
- 29.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
- 31.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 6 m took 480 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 34.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 330 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 320 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 4
- 350
- 3
- 1
- 600
- 300
- 410
- 4
- 260
- load ÷ effort
- less effort
- through a distance
- 10
- 900
- 100
- 3
- 450
- 150
- 4
- 280
- 1
- 5
- no, work stays the same
- 2
- 3760
- 310
- 1800
- 7
- 190
- 380
- 120
- 80
- 60
- 90
- 5
- 2
- 1650
- 1400
- 450
- 2560
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