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 3 m took 1470 J of work. What force was used, in newtons?
- 2.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ 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)
- 4.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 5.🏋️ A force of 130 N did 1300 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 7.🏋️ 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?
- 8.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 11.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 350 N did 1400 J of work. How many metres did the object move?
- 13.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 9 m took 2070 J of work. What force was used, in newtons?
- 19.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 20.🏋️ A force of 370 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 22.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 25.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 80 N did 640 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 30.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 31.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 32.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 450 N did 2250 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
- 36.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 340 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ A 17 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.🏋️ A force of 420 N did 840 J of work. How many metres did the object move?
Answer key
- 490
- 540
- 600
- 480
- 10
- 6
- 200
- 240
- 300
- less effort
- 100
- 4
- 950
- 130
- 450
- 2340
- 4
- 230
- no, work stays the same
- 1850
- load ÷ effort
- 300
- 560
- 3
- joule (J)
- 800
- 200
- 8
- 410
- through a distance
- 10
- 500
- 3150
- 5
- 380
- 150
- 1700
- 400
- 510
- 2
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