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 490 N did 4900 J of work. How many metres did the object move?
- 2.🏋️ A force of 90 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 270 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 6.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 7.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 8.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 9.🏋️ A force of 490 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 13.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 310 N did 310 J of work. How many metres did the object move?
- 15.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 18.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 20.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 9 m took 2340 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 380 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ 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)
- 27.🏋️ A force of 70 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ 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)
- 29.🏋️ A force of 420 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 32.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 34.🏋️ A force of 400 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 450 N did 4500 J of work. How many metres did the object move?
- 38.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 39.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
Answer key
- 10
- 360
- 800
- 2430
- 300
- 190
- through a distance
- less effort
- 3920
- 40
- 1350
- load ÷ effort
- 1000
- 1
- 130
- 6
- 2880
- 20
- no, work stays the same
- 700
- 260
- 140
- 600
- 300
- 2660
- 200
- 700
- 150
- 840
- 130
- 40
- 2
- 280
- 3200
- 240
- 1760
- 10
- joule (J)
- 5
- 3
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