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 3 m took 1440 J of work. What force was used, in newtons?
- 2.🏋️ 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?
- 3.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 4.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 90 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 7.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 8.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
- 9.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 11.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 14.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 200 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 4 m took 920 J of work. What force was used, in newtons?
- 18.🏋️ A force of 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 410 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 21.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 6 m took 120 J of work. What force was used, in newtons?
- 26.🏋️ 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?
- 27.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 29.🏋️ A force of 30 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 330 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A 7 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.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ A 7 kg box is lifted straight up by 4 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 1500 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 110 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Pushing a crate 9 m took 4230 J of work. What force was used, in newtons?
Answer key
- 480
- 320
- load ÷ effort
- 750
- 630
- no, work stays the same
- 20
- 1
- 120
- 5
- 450
- 240
- through a distance
- 460
- 6
- 400
- 230
- 1360
- 1640
- 3
- 110
- 300
- 900
- 3
- 20
- 150
- 210
- 140
- 270
- 1980
- 500
- 80
- 210
- 150
- 280
- 500
- 330
- 800
- 600
- 470
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