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 280 N did 2520 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 3.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 9 m took 4410 J of work. What force was used, in newtons?
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 8.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 9.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 10.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 14.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 16.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 17.🏋️ Pushing a crate 6 m took 600 J of work. What force was used, in newtons?
- 18.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 1 m took 80 J of work. What force was used, in newtons?
- 27.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 28.🏋️ A force of 180 N did 1620 J of work. How many metres did the object move?
- 29.🏋️ 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)
- 30.🏋️ A force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 8 m took 4000 J of work. What force was used, in newtons?
- 33.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 230 N did 460 J of work. How many metres did the object move?
- 35.🏋️ 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)
- 36.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 250 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 3 m took 240 J of work. What force was used, in newtons?
Answer key
- 9
- 100
- 760
- 40
- 3
- 490
- through a distance
- joule (J)
- 840
- 3
- 360
- 50
- less effort
- 420
- load ÷ effort
- no, work stays the same
- 100
- 280
- 4
- 90
- 50
- 150
- 120
- 150
- 100
- 80
- 1
- 9
- 400
- 4500
- 2
- 500
- 880
- 2
- 750
- 650
- 900
- 1000
- 450
- 80
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