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.🏋️ Pushing a crate 4 m took 1440 J of work. What force was used, in newtons?
- 2.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 3.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 470 N did 1410 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 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.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 11.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Pushing a crate 6 m took 1740 J of work. What force was used, in newtons?
- 13.🏋️ A 16 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 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 19.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 20.🏋️ 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)
- 21.🏋️ A force of 20 N did 120 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 23.🏋️ 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?
- 24.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 27.🏋️ A force of 70 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 28.🏋️ 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)
- 29.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 30.🏋️ 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?
- 31.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 33.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 10 m took 3300 J of work. What force was used, in newtons?
- 38.🏋️ A force of 310 N did 1860 J of work. How many metres did the object move?
- 39.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
Answer key
- 360
- load ÷ effort
- 950
- 5
- 20
- 300
- 3
- 30
- 70
- joule (J)
- 200
- 290
- 640
- 400
- 900
- 4
- 350
- less effort
- 4
- 350
- 6
- 5
- 200
- 700
- 980
- no, work stays the same
- 280
- 750
- through a distance
- 180
- 5
- 340
- 200
- 180
- 300
- 80
- 330
- 6
- 60
- 200
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