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 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Pushing a crate 1 m took 460 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 8 m took 3840 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 8.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 370 N did 3330 J of work. How many metres did the object move?
- 10.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 240 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ A 16 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.🏋️ 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?
- 15.🏋️ A force of 350 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 440 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 20.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 21.🏋️ 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?
- 22.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 100 N did 700 J of work. How many metres did the object move?
- 24.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 25.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 27.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 28.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ 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?
- 30.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 34.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
- 35.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 36.🏋️ A force of 360 N did 3240 J of work. How many metres did the object move?
- 37.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 39.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
Answer key
- 70
- 460
- 200
- 4
- 480
- 6
- load ÷ effort
- 120
- 9
- 300
- 300
- 1440
- 320
- 500
- 3150
- 440
- 600
- 850
- joule (J)
- less effort
- 80
- 1800
- 7
- through a distance
- 900
- no, work stays the same
- 6
- 450
- 100
- 400
- 5
- 110
- 110
- 1
- 2
- 9
- 2000
- 350
- 300
- 3
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