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 2 m took 220 J of work. What force was used, in newtons?
- 2.🏋️ 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?
- 3.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 160 N when you push with 40 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 machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ 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
- 11.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 130 N did 1300 J of work. How many metres did the object move?
- 13.🏋️ A 1 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 430 N did 2580 J of work. How many metres did the object move?
- 15.🏋️ A force of 130 N did 910 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 17.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 18.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 370 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 500 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 9 m took 2070 J of work. What force was used, in newtons?
- 24.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 26.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 28.🏋️ A force of 420 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 29.🏋️ A 20 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 3750 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ 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?
- 32.🏋️ Pushing a crate 8 m took 2320 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 34.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ Pushing a crate 9 m took 1620 J of work. What force was used, in newtons?
- 37.🏋️ A force of 490 N did 2450 J of work. How many metres did the object move?
- 38.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 39.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- 110
- 90
- 2
- 2
- 500
- 4
- load ÷ effort
- 5
- 850
- no, work stays the same
- 300
- 10
- 40
- 6
- 7
- 110
- through a distance
- 300
- 2
- 350
- 3330
- 4500
- 230
- 200
- 9
- 160
- less effort
- 2520
- 200
- 750
- 320
- 290
- 2
- 120
- 240
- 180
- 5
- 2
- 630
- 150
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