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.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 2.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 3.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 5 m took 200 J of work. What force was used, in newtons?
- 6.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 7.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ 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?
- 9.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 500 N did 1500 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 12.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 15.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 17.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 18.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 360 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 9 m took 4050 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 6 m took 1440 J of work. What force was used, in newtons?
- 23.🏋️ A force of 300 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 28.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 240 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 360 N did 3600 J of work. How many metres did the object move?
- 32.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 34.🏋️ 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
- 35.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 38.🏋️ 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?
- 39.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
Answer key
- through a distance
- 4
- 260
- 4
- 40
- less effort
- 650
- 40
- 300
- 3
- 180
- 120
- 250
- 420
- 450
- 4
- joule (J)
- 2
- 2160
- 10
- 450
- 240
- 2700
- 200
- 240
- 400
- 3
- 60
- 380
- 1200
- 10
- 180
- 410
- no, work stays the same
- 350
- 650
- 10
- 340
- 600
- load ÷ effort
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