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 3 m took 810 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 3.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 8.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 9.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 9 m took 3960 J of work. What force was used, in newtons?
- 11.🏋️ A force of 260 N did 260 J of work. How many metres did the object move?
- 12.🏋️ A force of 500 N did 4000 J of work. How many metres did the object move?
- 13.🏋️ A force of 390 N did 780 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 10 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 19.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 60 N did 600 J of work. How many metres did the object move?
- 21.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 22.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 290 N did 290 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 28.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 32.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 120 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 250 N did 750 J of work. How many metres did the object move?
- 39.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 40.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 270
- 150
- 1550
- 8
- 200
- 800
- 3
- less effort
- 420
- 440
- 1
- 8
- 2
- 1000
- 40
- 980
- 80
- no, work stays the same
- 360
- 10
- joule (J)
- 1380
- 4
- 1400
- 900
- 1
- 100
- 70
- 5
- 10
- through a distance
- 5
- 1800
- 240
- 390
- 2
- 1000
- 3
- load ÷ effort
- 1350
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