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 230 N did 1150 J of work. How many metres did the object move?
- 2.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 6 m took 2100 J of work. What force was used, in newtons?
- 4.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 8.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ 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?
- 10.🏋️ A force of 420 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 13.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 16.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 17.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 6 m took 2280 J of work. What force was used, in newtons?
- 19.🏋️ A force of 410 N did 4100 J of work. How many metres did the object move?
- 20.🏋️ A force of 100 N did 700 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 23.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 90 N did 450 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 27.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 2 m took 520 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 8 m took 3840 J of work. What force was used, in newtons?
- 31.🏋️ A force of 350 N did 1050 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
- 34.🏋️ A force of 280 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 38.🏋️ 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?
- 39.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 300 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- 5
- 50
- 350
- through a distance
- no, work stays the same
- 300
- 50
- 3360
- 120
- 840
- 450
- load ÷ effort
- 560
- 300
- 140
- joule (J)
- 150
- 380
- 10
- 7
- 850
- 3
- 500
- 160
- 5
- 290
- 270
- 6
- 260
- 480
- 3
- 2
- 450
- 2520
- 950
- 120
- 450
- 40
- 130
- 3000
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