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.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 5.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 6.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 7.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
- 8.🏋️ A force of 60 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 320 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 10.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 8 m took 3680 J of work. What force was used, in newtons?
- 15.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 17.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 18.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ 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?
- 20.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 21.🏋️ Pushing a crate 5 m took 1350 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 8 m took 3920 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 28.🏋️ A force of 220 N did 660 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 8 m took 3520 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 33.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 470 N did 3760 J of work. How many metres did the object move?
- 37.🏋️ A force of 20 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 420 N did 3360 J of work. How many metres did the object move?
Answer key
- 330
- 2700
- 550
- less effort
- 10
- joule (J)
- 170
- 600
- 2240
- 150
- 20
- 50
- 480
- 460
- 280
- through a distance
- 3
- 1000
- 200
- load ÷ effort
- 270
- 490
- 5
- 900
- 100
- 950
- no, work stays the same
- 3
- 3
- 440
- 850
- 3
- 360
- 350
- 2
- 8
- 140
- 2
- 450
- 8
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