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.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 2.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 4.🏋️ 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?
- 5.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 6.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 7.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 9 m took 4500 J of work. What force was used, in newtons?
- 10.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 14.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 15.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 18.🏋️ A force of 380 N did 3040 J of work. How many metres did the object move?
- 19.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 6 m took 900 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 280 N did 2520 J of work. How many metres did the object move?
- 25.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 7 m took 2940 J of work. What force was used, in newtons?
- 28.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 10 m took 2000 J of work. What force was used, in newtons?
- 32.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 33.🏋️ A force of 220 N did 1320 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 35.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 170 N did 1700 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 5 m took 450 J of work. What force was used, in newtons?
- 38.🏋️ A force of 460 N did 920 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 6 m took 2400 J of work. What force was used, in newtons?
- 40.🏋️ A force of 350 N did 1400 J of work. How many metres did the object move?
Answer key
- no, work stays the same
- 550
- 4
- 140
- joule (J)
- 8
- 500
- 330
- 500
- 360
- 2
- 1080
- load ÷ effort
- through a distance
- 5
- 200
- less effort
- 8
- 260
- 150
- 50
- 10
- 650
- 9
- 100
- 130
- 420
- 390
- 100
- 1000
- 200
- 2
- 6
- 3
- 60
- 10
- 90
- 2
- 400
- 4
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