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 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 2.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 330 N did 2970 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 140 N did 140 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
- 7.🏋️ A force of 340 N did 1020 J of work. How many metres did the object move?
- 8.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 9.🏋️ A force of 240 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 6 m took 2400 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 4 m took 400 J of work. What force was used, in newtons?
- 12.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 15.🏋️ 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?
- 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 18.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 20.🏋️ A force of 200 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 23.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 24.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 25.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 27.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 30.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ 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?
- 32.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 120 N did 840 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 37.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 380 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 40.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
Answer key
- 1440
- 950
- 9
- 6
- 1
- 500
- 3
- no, work stays the same
- 1920
- 400
- 100
- 220
- 60
- joule (J)
- 120
- 700
- 370
- 300
- 3
- 400
- 450
- 20
- 190
- load ÷ effort
- 310
- 1
- 100
- 110
- 350
- 450
- 200
- 750
- 550
- 7
- 150
- 10
- 50
- 3800
- through a distance
- 2
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