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 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 100 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 3.🏋️ Pushing a crate 9 m took 3420 J of work. What force was used, in newtons?
- 4.🏋️ A force of 310 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 410 N did 3280 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 500 N did 3000 J of work. How many metres did the object move?
- 8.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ 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?
- 10.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 14.🏋️ A force of 390 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 15.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 7 m took 3080 J of work. What force was used, in newtons?
- 20.🏋️ A force of 290 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 23.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 24.🏋️ 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
- 25.🏋️ A force of 490 N did 1470 J of work. How many metres did the object move?
- 26.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 27.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 160 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 170 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 5 m took 50 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 35.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 37.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 38.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
Answer key
- 3
- 400
- 380
- 3100
- 8
- 4
- 6
- 180
- 70
- 600
- 900
- 300
- through a distance
- 1560
- 100
- 230
- 20
- 400
- 440
- 870
- 3
- 2
- less effort
- no, work stays the same
- 3
- 1080
- 360
- 1120
- 680
- 10
- 6
- 600
- 290
- 410
- 180
- load ÷ effort
- 5
- 420
- 4
- 2
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