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 190 J of work. What force was used, in newtons?
- 2.🏋️ A force of 380 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 4.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 5.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 7.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 9.🏋️ A force of 490 N did 1960 J of work. How many metres did the object move?
- 10.🏋️ A force of 330 N did 990 J of work. How many metres did the object move?
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 320 N did 1920 J of work. How many metres did the object move?
- 13.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 15.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A 16 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.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 8 m took 1440 J of work. What force was used, in newtons?
- 22.🏋️ A force of 400 N did 800 J of work. How many metres did the object move?
- 23.🏋️ A force of 170 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 8 m took 2000 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 7 m took 1680 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 10 m took 2000 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 28.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 40 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 240 N did 240 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
Answer key
- 190
- 3040
- 2
- joule (J)
- 250
- through a distance
- 80
- no, work stays the same
- 4
- 3
- 400
- 6
- 1440
- less effort
- 750
- 120
- 700
- 160
- 4
- 850
- 180
- 2
- 680
- 250
- 240
- 200
- 60
- 1680
- 390
- 3
- 320
- 1050
- 2500
- 160
- 4
- 400
- 450
- 160
- 1
- 2
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