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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 7 m took 3220 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 4.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 5.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 6.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 190 N did 380 J of work. How many metres did the object move?
- 12.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 390 N did 1170 J of work. How many metres did the object move?
- 16.🏋️ A force of 390 N did 390 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 18.🏋️ A force of 170 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 7 m took 3150 J of work. What force was used, in newtons?
- 23.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 24.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 170 N did 1020 J of work. How many metres did the object move?
- 31.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 32.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 33.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 37.🏋️ A force of 330 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 39.🏋️ 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?
- 40.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
Answer key
- 310
- 460
- 100
- load ÷ effort
- 90
- 280
- 30
- 120
- 240
- 700
- 2
- 500
- 250
- 850
- 3
- 1
- 350
- 1700
- 500
- 2
- 5
- 450
- joule (J)
- 50
- 550
- 600
- 350
- 6
- 6
- 6
- 8
- less effort
- 200
- 50
- 6
- 140
- 1650
- 130
- 70
- through a distance
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