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.🏋️ A force of 340 N did 3400 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 4.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 6.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 8.🏋️ 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
- 9.🏋️ Pushing a crate 6 m took 1320 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 80 N did 240 J of work. How many metres did the object move?
- 12.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 13.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 290 N did 2320 J of work. How many metres did the object move?
- 16.🏋️ 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?
- 17.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 19.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 21.🏋️ 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)
- 22.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 23.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 10 m took 3100 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 500 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 31.🏋️ A force of 320 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 8 m took 4000 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 9 m took 2700 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
Answer key
- 10
- 130
- 5
- 4
- through a distance
- 960
- joule (J)
- no, work stays the same
- 220
- 850
- 3
- 1
- 260
- 4
- 8
- 280
- 800
- load ÷ effort
- 30
- 6
- 950
- 330
- 360
- 310
- 850
- 2000
- 550
- 1110
- 450
- less effort
- 2880
- 500
- 300
- 350
- 500
- 50
- 6
- 950
- 50
- 140
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