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 smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
- 3.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 6.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 7.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 8.🏋️ A force of 370 N did 2590 J of work. How many metres did the object move?
- 9.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 10.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 190 N did 950 J of work. How many metres did the object move?
- 12.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 2 m took 840 J of work. What force was used, in newtons?
- 15.🏋️ A 4 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.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ 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?
- 18.🏋️ 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?
- 19.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 21.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 22.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 23.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 24.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 25.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ 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)
- 28.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 30.🏋️ A force of 160 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ 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)
- 32.🏋️ 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?
- 33.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 480 N did 3360 J of work. How many metres did the object move?
- 35.🏋️ 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?
- 36.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Pushing a crate 4 m took 760 J of work. What force was used, in newtons?
- 39.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
Answer key
- 350
- 500
- 60
- 100
- 4
- through a distance
- no, work stays the same
- 7
- 4
- 5
- 5
- 1040
- 110
- 420
- 40
- 20
- 200
- 750
- 600
- 2
- less effort
- load ÷ effort
- 50
- joule (J)
- 900
- 1290
- 850
- 100
- 150
- 1120
- 600
- 60
- 240
- 7
- 50
- 450
- 320
- 190
- 560
- 2
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