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 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 2.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 5.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 190 N did 1140 J of work. How many metres did the object move?
- 8.🏋️ A force of 500 N did 3500 J of work. How many metres did the object move?
- 9.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 14.🏋️ Pushing a crate 8 m took 2960 J of work. What force was used, in newtons?
- 15.🏋️ A force of 270 N did 1080 J of work. How many metres did the object move?
- 16.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 440 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 7 m took 1330 J of work. What force was used, in newtons?
- 22.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 23.🏋️ A force of 290 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ 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?
- 25.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 26.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 7 m took 1960 J of work. What force was used, in newtons?
- 28.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 3 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 290 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 33.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ 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)
- 36.🏋️ Pushing a crate 8 m took 880 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 6 m took 1800 J of work. What force was used, in newtons?
- 38.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 200 N did 1000 J of work. How many metres did the object move?
- 40.🏋️ A force of 190 N did 570 J of work. How many metres did the object move?
Answer key
- 840
- 650
- 450
- no, work stays the same
- 120
- 6
- 6
- 7
- 1290
- 390
- 100
- 1000
- less effort
- 370
- 4
- 40
- 5
- 3520
- 4
- 1500
- 190
- joule (J)
- 1450
- 280
- load ÷ effort
- 300
- 280
- 840
- 300
- 60
- 290
- 260
- 80
- 110
- 650
- 110
- 300
- 250
- 5
- 3
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