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.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 2.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 3.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 4.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 9 m took 1980 J of work. What force was used, in newtons?
- 6.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 12.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 370 N did 3330 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 150 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ 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?
- 22.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ 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?
- 24.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 3 m took 360 J of work. What force was used, in newtons?
- 27.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 8 m took 1280 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
- 34.🏋️ A force of 300 N did 3000 J of work. How many metres did the object move?
- 35.🏋️ 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?
- 36.🏋️ A force of 290 N did 580 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 40.🏋️ 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?
Answer key
- no, work stays the same
- 3
- 5
- 380
- 220
- 7
- 5
- 2
- 650
- 800
- 330
- 1440
- 9
- 2
- 920
- 60
- 700
- 6
- 600
- 500
- 200
- 840
- 450
- 6
- 40
- 120
- 4
- 2
- 2
- 150
- 3
- 160
- 220
- 10
- 280
- 2
- 370
- 500
- load ÷ effort
- 60
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