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 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?
- 2.🏋️ 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?
- 3.🏋️ A force of 340 N did 1700 J of work. How many metres did the object move?
- 4.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 7.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 8.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 11.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 12.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 2 m took 460 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 40 N did 80 J of work. How many metres did the object move?
- 17.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 18.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 19.🏋️ A force of 80 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 460 N did 1840 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 450 N did 450 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 24.🏋️ 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?
- 25.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 27.🏋️ A 5 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 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 390 N did 1170 J of work. How many metres did the object move?
- 30.🏋️ A force of 160 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 33.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 36.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 37.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 500 N did 500 J of work. How many metres did the object move?
- 39.🏋️ A force of 200 N did 200 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 120
- 130
- 5
- 120
- 840
- 3
- through a distance
- 300
- 60
- 490
- joule (J)
- 60
- 230
- 100
- 3
- 2
- no, work stays the same
- less effort
- 320
- 4
- 5
- 1
- 3
- 120
- 2
- 200
- 100
- 90
- 3
- 1600
- 50
- 160
- 1000
- 150
- 4
- load ÷ effort
- 680
- 1
- 1
- 700
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