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 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 2.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 4.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 5.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 210 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 11.🏋️ A force of 380 N did 1520 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 5 m took 900 J of work. What force was used, in newtons?
- 13.🏋️ A force of 290 N did 580 J of work. How many metres did the object move?
- 14.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ 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?
- 16.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 17.🏋️ A force of 460 N did 920 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 19.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 20.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 21.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 8 m took 2880 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 27.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 240 N did 1920 J of work. How many metres did the object move?
- 29.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 20 N did 120 J of work. How many metres did the object move?
- 33.🏋️ A force of 320 N did 2240 J of work. How many metres did the object move?
- 34.🏋️ A 5 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 force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 250 N did 1500 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
- 40.🏋️ A force of 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
Answer key
- 5
- 2
- 80
- through a distance
- 60
- 4
- 1260
- 130
- 700
- joule (J)
- 4
- 180
- 2
- 70
- 180
- 280
- 2
- 300
- load ÷ effort
- no, work stays the same
- 650
- 200
- 750
- 360
- 200
- 1080
- 40
- 8
- 3
- 4
- 700
- 6
- 7
- 250
- 1000
- 6
- 250
- 140
- 370
- 180
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