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 force of 490 N did 3430 J of work. How many metres did the object move?
- 2.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 5.🏋️ A force of 250 N did 2500 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 8.🏋️ A force of 430 N did 3010 J of work. How many metres did the object move?
- 9.🏋️ A force of 230 N did 1150 J of work. How many metres did the object move?
- 10.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 120 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 13.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 16.🏋️ A force of 80 N did 720 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
- 19.🏋️ 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?
- 20.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 23.🏋️ Pushing a crate 8 m took 1840 J of work. What force was used, in newtons?
- 24.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 27.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 28.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 80 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 31.🏋️ 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?
- 32.🏋️ Pushing a crate 4 m took 40 J of work. What force was used, in newtons?
- 33.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 9 m took 180 J of work. What force was used, in newtons?
- 37.🏋️ A force of 260 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 5 m took 200 J of work. What force was used, in newtons?
- 39.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 7
- 850
- 2400
- 90
- 10
- 2
- through a distance
- 7
- 5
- 60
- 600
- load ÷ effort
- 480
- 210
- 20
- 9
- 320
- 270
- 120
- 620
- 8
- 350
- 230
- 450
- 200
- 840
- no, work stays the same
- 150
- 150
- 320
- 420
- 10
- 330
- 10
- 4
- 20
- 1560
- 40
- 240
- 150
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