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 240 N did 240 J of work. How many metres did the object move?
- 2.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
- 4.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 5.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ 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
- 7.🏋️ A force of 120 N did 720 J of work. How many metres did the object move?
- 8.🏋️ A force of 180 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 9.🏋️ 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?
- 10.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 12.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 13.🏋️ A 10 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 force of 440 N did 2200 J of work. How many metres did the object move?
- 15.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 17.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 19.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 5 m took 1800 J of work. What force was used, in newtons?
- 22.🏋️ A force of 200 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 250 N did 1750 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 26.🏋️ 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?
- 27.🏋️ A force of 220 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 9 m took 2880 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 31.🏋️ A force of 500 N did 1000 J of work. How many metres did the object move?
- 32.🏋️ An 18 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 smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 36.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ 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)
- 38.🏋️ 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?
- 39.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
Answer key
- 1
- 3
- 170
- through a distance
- 400
- no, work stays the same
- 6
- 1620
- 20
- 50
- load ÷ effort
- less effort
- 100
- 5
- 80
- joule (J)
- 400
- 7
- 1400
- 800
- 360
- 1000
- 1140
- 7
- 280
- 540
- 2200
- 320
- 3
- 380
- 2
- 180
- 1000
- 380
- 350
- 2580
- 800
- 10
- 1
- 2
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