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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 2.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 390 N did 1950 J of work. How many metres did the object move?
- 4.🏋️ A force of 210 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 5 m took 200 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 8 m took 4000 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 12.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 15.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 16.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 17.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Pushing a crate 7 m took 840 J of work. What force was used, in newtons?
- 19.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 7 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 smooth ramp is 3 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 200 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 25.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 28.🏋️ A force of 20 N did 180 J of work. How many metres did the object move?
- 29.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 30.🏋️ Pushing a crate 1 m took 160 J of work. What force was used, in newtons?
- 31.🏋️ 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?
- 32.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 80 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 10 m took 2200 J of work. What force was used, in newtons?
- 35.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 7 m took 2660 J of work. What force was used, in newtons?
- 37.🏋️ A 13 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 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 40.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
Answer key
- load ÷ effort
- 100
- 5
- 420
- 6
- 40
- 6
- 400
- 370
- 500
- 5
- 3
- 600
- no, work stays the same
- 6
- less effort
- 390
- 120
- 2
- 100
- 350
- 500
- 1200
- 4
- 500
- 700
- 3
- 9
- joule (J)
- 160
- 180
- 6
- 720
- 220
- 2250
- 380
- 130
- 270
- 240
- 1
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