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 9 m took 3240 J of work. What force was used, in newtons?
- 2.🏋️ A force of 220 N did 1540 J of work. How many metres did the object move?
- 3.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 4.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 400 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 8.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 9.🏋️ A force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 500 N did 5000 J of work. How many metres did the object move?
- 12.🏋️ 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
- 13.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 15.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 16.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 9 m took 3510 J of work. What force was used, in newtons?
- 18.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 19.🏋️ A force of 460 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 20.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 24.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 25.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 3 m took 240 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 32.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 380 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 230 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 4 m took 1560 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 4 m took 1440 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
Answer key
- 360
- 7
- through a distance
- 10
- 300
- 1200
- 360
- load ÷ effort
- 800
- 2900
- 10
- no, work stays the same
- 550
- 4
- joule (J)
- 250
- 390
- 3
- 3220
- 300
- 5
- 150
- 1040
- less effort
- 250
- 510
- 4
- 900
- 80
- 5
- 7
- 1500
- 2
- 80
- 1520
- 690
- 390
- 30
- 360
- 5
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