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 force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 4.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 5.🏋️ 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
- 6.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 6 m took 2100 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 13.🏋️ Pushing a crate 6 m took 360 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 410 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 18.🏋️ A force of 360 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 20.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 21.🏋️ A force of 390 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 22.🏋️ 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?
- 23.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 25.🏋️ A force of 500 N did 1000 J of work. How many metres did the object move?
- 26.🏋️ A force of 360 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 30.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 330 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ 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?
- 34.🏋️ A 5 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 force of 190 N did 570 J of work. How many metres did the object move?
- 36.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 170 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 39.🏋️ 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?
- 40.🏋️ Pushing a crate 7 m took 2380 J of work. What force was used, in newtons?
Answer key
- 1800
- 240
- 10
- load ÷ effort
- no, work stays the same
- 760
- 6
- 150
- 350
- 3
- 470
- 4
- 60
- 650
- 6
- 3280
- 10
- 3240
- joule (J)
- 8
- 3510
- 700
- 110
- less effort
- 2
- 2160
- 350
- 100
- 1
- 720
- 990
- 50
- 600
- 150
- 3
- 150
- 50
- 1190
- 300
- 340
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