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 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)
- 2.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 3 m took 1080 J of work. What force was used, in newtons?
- 4.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 5.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 8 m took 320 J of work. What force was used, in newtons?
- 7.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 8.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 300 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 360 N did 3600 J of work. How many metres did the object move?
- 12.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 13.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 8 m took 2960 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
- 23.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 25.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 9 m took 720 J of work. What force was used, in newtons?
- 28.🏋️ A force of 490 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 30.🏋️ A force of 100 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A 16 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.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 5 m took 500 J of work. What force was used, in newtons?
- 38.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 39.🏋️ A force of 180 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 900
- 340
- 360
- through a distance
- 5
- 40
- 2
- less effort
- 750
- 3000
- 10
- load ÷ effort
- 140
- 370
- 900
- 3
- 400
- 3
- 400
- 280
- 350
- 1
- 100
- 2
- 190
- 9
- 80
- 4900
- no, work stays the same
- 400
- 6
- 2800
- 360
- 540
- 160
- 950
- 100
- 3
- 1080
- 360
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