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 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 4.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 220 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 370 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 440 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 10.🏋️ 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
- 11.🏋️ A force of 450 N did 2250 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 8 m took 960 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 5 m took 2400 J of work. What force was used, in newtons?
- 18.🏋️ A force of 410 N did 410 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
- 20.🏋️ A force of 420 N did 2100 J of work. How many metres did the object move?
- 21.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 22.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 10 N did 40 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 27.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 28.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 29.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 170 N did 1020 J of work. How many metres did the object move?
- 32.🏋️ 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)
- 33.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 35.🏋️ A force of 420 N did 1260 J of work. How many metres did the object move?
- 36.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 10 m took 4100 J of work. What force was used, in newtons?
- 39.🏋️ 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?
- 40.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
Answer key
- 1040
- 930
- 6
- 2
- 600
- 1320
- 1850
- 900
- 3960
- no, work stays the same
- 5
- 50
- 250
- 120
- 500
- 350
- 480
- 1
- 60
- 5
- load ÷ effort
- joule (J)
- 200
- 4
- 4
- 3
- less effort
- 90
- 450
- 800
- 6
- 150
- 850
- 9
- 3
- 80
- 700
- 410
- 50
- 470
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