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 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 2.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 3.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
- 5.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 6.🏋️ Pushing a crate 6 m took 420 J of work. What force was used, in newtons?
- 7.🏋️ A force of 180 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 400 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 200 N did 1800 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 12.🏋️ A force of 210 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ 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?
- 15.🏋️ A force of 160 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 320 N did 1600 J of work. How many metres did the object move?
- 18.🏋️ 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)
- 19.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
- 20.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 26.🏋️ 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)
- 27.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ 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?
- 32.🏋️ A force of 400 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 6 m took 2820 J of work. What force was used, in newtons?
- 34.🏋️ A 10 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 smooth ramp is 5 m long and rises 1 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 38.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 40.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 2
- 6
- 60
- 8
- joule (J)
- 70
- 900
- 1600
- 100
- 9
- 320
- 210
- 1000
- 50
- 1120
- 800
- 5
- 850
- 40
- load ÷ effort
- 450
- 6
- 1160
- 300
- less effort
- 650
- 50
- 600
- 850
- 1500
- 450
- 2400
- 470
- 200
- 850
- 400
- through a distance
- 470
- 440
- 420
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