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.
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- 1.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 460 N did 1380 J of work. How many metres did the object move?
- 3.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 4.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 9.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 10.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 11.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 12.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 13.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 6 m took 2400 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 4 m took 480 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 9 m took 1170 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 22.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 23.🏋️ A force of 240 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 7 m took 3010 J of work. What force was used, in newtons?
- 25.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 190 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 28.🏋️ 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?
- 29.🏋️ A force of 480 N did 960 J of work. How many metres did the object move?
- 30.🏋️ A force of 50 N did 500 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A 13 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 17 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 2 m took 740 J of work. What force was used, in newtons?
- 37.🏋️ A force of 390 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 210 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 10 m took 3800 J of work. What force was used, in newtons?
- 40.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- 3
- less effort
- 1080
- 160
- 700
- 4
- 4
- no, work stays the same
- 2
- 5
- through a distance
- 5
- 400
- 120
- 400
- 130
- 200
- 4
- 550
- load ÷ effort
- 130
- 2160
- 430
- 350
- 1520
- 630
- 40
- 2
- 10
- 4
- 850
- 570
- 390
- 680
- 370
- 3900
- 210
- 380
- 80
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