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 1 m took 60 J of work. What force was used, in newtons?
- 2.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 180 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 5.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 10 m took 4000 J of work. What force was used, in newtons?
- 7.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 8.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 10.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 11.🏋️ Pushing a crate 7 m took 1330 J of work. What force was used, in newtons?
- 12.🏋️ A force of 260 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 4 m took 1040 J of work. What force was used, in newtons?
- 15.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 17.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 18.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 20.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 21.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 340 N did 1700 J of work. How many metres did the object move?
- 23.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 4 m took 1240 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 360 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ 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)
- 40.🏋️ Pushing a crate 9 m took 720 J of work. What force was used, in newtons?
Answer key
- 60
- 1800
- 720
- 3
- 800
- 400
- no, work stays the same
- 600
- 6
- joule (J)
- 190
- 2600
- 750
- 260
- 70
- 5
- through a distance
- 210
- 3
- less effort
- 850
- 5
- 40
- 3
- 4
- 500
- 550
- 850
- 150
- 390
- 310
- 450
- 3
- 10
- 50
- 1140
- 360
- 120
- 100
- 80
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