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.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 2.🏋️ Pushing a crate 6 m took 1500 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 7 m took 2100 J of work. What force was used, in newtons?
- 4.🏋️ A force of 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 6.🏋️ A force of 200 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 10 m took 2400 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 11.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 12.🏋️ A force of 260 N did 260 J of work. How many metres did the object move?
- 13.🏋️ A force of 60 N did 60 J of work. How many metres did the object move?
- 14.🏋️ A force of 380 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ Pushing a crate 5 m took 150 J of work. What force was used, in newtons?
- 18.🏋️ 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?
- 19.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 20.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 21.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 22.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 30 N did 210 J of work. How many metres did the object move?
- 25.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 26.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 30.🏋️ A force of 380 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 340 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 1 m took 160 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
Answer key
- joule (J)
- 250
- 300
- 3600
- 50
- 400
- 700
- 2
- 240
- through a distance
- 2
- 1
- 1
- 3420
- 350
- 900
- 30
- 70
- 10
- 2730
- less effort
- 450
- 4
- 7
- load ÷ effort
- 5
- 200
- 180
- 260
- 3800
- 1000
- 1360
- 1230
- 360
- 850
- 650
- 160
- 700
- 1000
- 4
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