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 270 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 2.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 390 N did 2340 J of work. How many metres did the object move?
- 4.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 5.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 7.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 8.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 11.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 12.🏋️ 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?
- 13.🏋️ A 3 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.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 15.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 17.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 18.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 21.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 22.🏋️ Pushing a crate 5 m took 200 J of work. What force was used, in newtons?
- 23.🏋️ A force of 350 N did 1400 J of work. How many metres did the object move?
- 24.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 27.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 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 430 N did 1720 J of work. How many metres did the object move?
- 36.🏋️ A force of 110 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 40.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- 2700
- 350
- 6
- 160
- 7
- 10
- less effort
- 270
- 350
- 4
- through a distance
- 120
- 150
- 4
- 5
- 4
- load ÷ effort
- 900
- 300
- joule (J)
- no, work stays the same
- 40
- 4
- 90
- 750
- 280
- 270
- 250
- 2
- 840
- 6
- 3
- 3
- 4
- 4
- 440
- 280
- 930
- 2
- 2500
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