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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Pushing a crate 3 m took 540 J of work. What force was used, in newtons?
- 2.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 3.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 9.🏋️ 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)
- 10.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 100 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 180 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 14.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 16.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 17.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 23.🏋️ Pushing a crate 9 m took 990 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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?
- 30.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 33.🏋️ 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?
- 34.🏋️ Pushing a crate 10 m took 4600 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 39.🏋️ 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?
- 40.🏋️ Pushing a crate 2 m took 920 J of work. What force was used, in newtons?
Answer key
- 180
- joule (J)
- 70
- 3
- 500
- 600
- 200
- 150
- 500
- 5
- 400
- 360
- 4
- 200
- no, work stays the same
- 5
- 390
- 350
- 4800
- 2
- 500
- less effort
- 110
- 2
- 2
- 8
- 2
- 3
- 650
- 200
- 550
- 720
- 200
- 460
- 300
- 2
- 320
- 180
- 60
- 460
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