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 4 m took 440 J of work. What force was used, in newtons?
- 2.🏋️ A force of 170 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ 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
- 4.🏋️ Pushing a crate 6 m took 360 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 7.🏋️ A force of 450 N did 4050 J of work. How many metres did the object move?
- 8.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 340 N did 3060 J of work. How many metres did the object move?
- 15.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 16.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
- 18.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 20.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 4 m took 1720 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 27.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 29.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 30.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ 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)
- 32.🏋️ 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?
- 33.🏋️ 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?
- 34.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 5 m took 2450 J of work. What force was used, in newtons?
- 37.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 40.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 110
- 850
- no, work stays the same
- 60
- 3
- through a distance
- 9
- 2080
- 450
- 4
- 2030
- 100
- 180
- 9
- joule (J)
- 5
- 7
- 200
- load ÷ effort
- 2
- 380
- 160
- 5
- 950
- 430
- 120
- 3600
- 540
- less effort
- 300
- 350
- 120
- 20
- 5
- 1000
- 490
- 50
- 5
- 220
- 10
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