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 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 3.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 460 N did 2300 J of work. How many metres did the object move?
- 5.🏋️ A force of 430 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 6.🏋️ 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)
- 7.🏋️ A force of 340 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 2 m took 520 J of work. What force was used, in newtons?
- 11.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 3 m took 150 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 16.🏋️ 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?
- 17.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 18.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 190 N did 1520 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 4 m took 280 J of work. What force was used, in newtons?
- 21.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 22.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 4 m took 1320 J of work. What force was used, in newtons?
- 24.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 27.🏋️ A force of 10 N did 100 J of work. How many metres did the object move?
- 28.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 29.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 5 m took 1850 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 180 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 40.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
Answer key
- 640
- through a distance
- 5
- 5
- 3010
- 350
- 3400
- 460
- 400
- 260
- 760
- 6
- 150
- 50
- 440
- 750
- joule (J)
- 800
- 8
- 70
- less effort
- 140
- 330
- 30
- 720
- load ÷ effort
- 10
- 4
- 280
- 160
- 900
- 950
- 370
- 2
- 540
- 2
- 2
- 120
- 50
- no, work stays the same
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