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 160 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 500 N did 1000 J of work. How many metres did the object move?
- 3.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 4.🏋️ Pushing a crate 5 m took 1750 J of work. What force was used, in newtons?
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 7.🏋️ 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?
- 8.🏋️ 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?
- 9.🏋️ A force of 390 N did 2730 J of work. How many metres did the object move?
- 10.🏋️ A force of 170 N did 1700 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 12.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 170 N did 340 J of work. How many metres did the object move?
- 15.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 6 m took 960 J of work. What force was used, in newtons?
- 17.🏋️ 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?
- 18.🏋️ A force of 140 N did 1400 J of work. How many metres did the object move?
- 19.🏋️ A force of 180 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ 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?
- 21.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 22.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 1 m took 500 J of work. What force was used, in newtons?
- 26.🏋️ 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?
- 27.🏋️ 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?
- 28.🏋️ A force of 470 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
- 31.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 32.🏋️ 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?
- 33.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 170 N did 850 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 37.🏋️ A force of 420 N did 2520 J of work. How many metres did the object move?
- 38.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 40.🏋️ A force of 120 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- 480
- 2
- less effort
- 350
- joule (J)
- through a distance
- 450
- 280
- 7
- 10
- 6
- 120
- 100
- 2
- 90
- 160
- 420
- 10
- 540
- 380
- load ÷ effort
- 340
- 100
- 2
- 500
- 140
- 720
- 4230
- 540
- 4
- no, work stays the same
- 60
- 1800
- 5
- 6
- 230
- 6
- 60
- 200
- 240
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