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.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 3.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 5.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 6.🏋️ Pushing a crate 2 m took 600 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 9.🏋️ A 16 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 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 12.🏋️ 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)
- 13.🏋️ 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?
- 14.🏋️ Pushing a crate 6 m took 1500 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 17.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 19.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 20.🏋️ 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?
- 21.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 390 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 25.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 28.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 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 500 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 32.🏋️ A force of 490 N did 4900 J of work. How many metres did the object move?
- 33.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 34.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 35.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 37.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 1 m took 340 J of work. What force was used, in newtons?
- 39.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
Answer key
- 140
- no, work stays the same
- 960
- 80
- joule (J)
- 300
- 3
- 5
- 160
- 550
- 3
- 800
- 160
- 250
- 60
- 90
- 440
- less effort
- 280
- 800
- through a distance
- 700
- 850
- 1950
- 500
- 310
- 3
- 200
- 750
- 250
- 3
- 10
- load ÷ effort
- 400
- 4800
- 6
- 400
- 340
- 180
- 170
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