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 longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 2.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 3.🏋️ A force of 60 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 420 N did 420 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 10 m took 2700 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 9.🏋️ A force of 100 N did 500 J of work. How many metres did the object move?
- 10.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 11.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 12.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 13.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 15.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ 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)
- 17.🏋️ A force of 100 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 410 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 340 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 170 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 1 m took 280 J of work. What force was used, in newtons?
- 25.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 490 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 31.🏋️ A force of 370 N did 740 J of work. How many metres did the object move?
- 32.🏋️ A force of 410 N did 1640 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 2 m took 760 J of work. What force was used, in newtons?
- 38.🏋️ A force of 210 N did 210 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 5 m took 1450 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
Answer key
- less effort
- 120
- 540
- 90
- 1
- 380
- 270
- 30
- 5
- through a distance
- joule (J)
- no, work stays the same
- 810
- 360
- 40
- 900
- 200
- 2
- 150
- 3280
- 2040
- 850
- 1350
- 280
- 2340
- 4900
- 5
- 60
- 500
- 420
- 2
- 4
- 400
- 4
- 1240
- 50
- 380
- 1
- 290
- 3
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