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.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 2.🏋️ Pushing a crate 6 m took 840 J of work. What force was used, in newtons?
- 3.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 4.🏋️ A force of 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ 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)
- 6.🏋️ A force of 250 N did 1000 J of work. How many metres did the object move?
- 7.🏋️ A force of 420 N did 2100 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 9.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 10.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 11.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 12.🏋️ Pushing a crate 9 m took 4050 J of work. What force was used, in newtons?
- 13.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 490 N did 3920 J of work. How many metres did the object move?
- 15.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 17.🏋️ A force of 490 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ 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?
- 20.🏋️ A force of 350 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 22.🏋️ A force of 20 N did 160 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 5 m took 1450 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 26.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 250 N did 2000 J of work. How many metres did the object move?
- 30.🏋️ A force of 280 N did 2240 J of work. How many metres did the object move?
- 31.🏋️ A force of 290 N did 580 J of work. How many metres did the object move?
- 32.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 37.🏋️ 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?
- 38.🏋️ A force of 410 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 3 m took 360 J of work. What force was used, in newtons?
- 40.🏋️ A force of 100 N did 1000 J of work. How many metres did the object move?
Answer key
- no, work stays the same
- 140
- load ÷ effort
- 2880
- 450
- 4
- 5
- 320
- less effort
- joule (J)
- through a distance
- 450
- 760
- 8
- 1680
- 160
- 4410
- 30
- 240
- 3150
- 3
- 8
- 2
- 290
- 310
- 3
- 800
- 4
- 8
- 8
- 2
- 1480
- 90
- 3
- 250
- 50
- 320
- 1640
- 120
- 10
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