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.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 2.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 3.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 4.🏋️ A force of 350 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 7 m took 1470 J of work. What force was used, in newtons?
- 8.🏋️ A force of 340 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 6 m took 2160 J of work. What force was used, in newtons?
- 11.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 12.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ 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)
- 14.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 15.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 16.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 17.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 280 N did 280 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.🏋️ Pushing a crate 7 m took 1400 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 4 m took 1440 J of work. What force was used, in newtons?
- 23.🏋️ A force of 490 N did 3920 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 25.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 70 N did 70 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 220 N did 660 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 2 m took 420 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 6 m took 2940 J of work. What force was used, in newtons?
- 34.🏋️ 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)
- 35.🏋️ A force of 320 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 4 m took 1960 J of work. What force was used, in newtons?
Answer key
- 3
- joule (J)
- load ÷ effort
- 2800
- 3
- 450
- 210
- 1020
- 1
- 360
- no, work stays the same
- 420
- 150
- less effort
- 390
- through a distance
- 650
- 200
- 1
- 100
- 200
- 360
- 8
- 280
- 60
- 750
- 1
- 900
- 3
- 10
- 2
- 210
- 490
- 350
- 1920
- 50
- 3
- 900
- 5
- 490
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