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.🏋️ 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?
- 2.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 4.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 220 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 7 m took 490 J of work. What force was used, in newtons?
- 8.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 9.🏋️ A force of 400 N did 2800 J of work. How many metres did the object move?
- 10.🏋️ A force of 430 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 11.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 12.🏋️ Pushing a crate 8 m took 2720 J of work. What force was used, in newtons?
- 13.🏋️ 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?
- 14.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 15.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 500 N did 2500 J of work. How many metres did the object move?
- 18.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 1 m took 210 J of work. What force was used, in newtons?
- 20.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 320 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 23.🏋️ 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)
- 24.🏋️ A 12 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 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 26.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 27.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 28.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 29.🏋️ A force of 240 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 8 m took 2640 J of work. What force was used, in newtons?
- 35.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 38.🏋️ 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?
- 39.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
Answer key
- 210
- 10
- through a distance
- 150
- 200
- 220
- 70
- 8
- 7
- 3440
- joule (J)
- 340
- 150
- less effort
- 6
- 2
- 5
- 2
- 210
- 170
- 960
- 6
- 50
- 480
- 6
- load ÷ effort
- no, work stays the same
- 8
- 960
- 2
- 950
- 30
- 6
- 330
- 2870
- 350
- 90
- 150
- 4
- 2
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