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 140 N did 700 J of work. How many metres did the object move?
- 2.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 3.🏋️ Pushing a crate 1 m took 280 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 7.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 8.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ 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?
- 10.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 11.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 14.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 15.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 290 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 350 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 240 N did 240 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 150 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 26.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 28.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 30.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 360 N did 1080 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 200 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ An 11 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 240 N did 2400 J of work. How many metres did the object move?
- 37.🏋️ A force of 190 N did 1140 J of work. How many metres did the object move?
- 38.🏋️ A force of 30 N did 300 J of work. How many metres did the object move?
- 39.🏋️ A force of 240 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
Answer key
- 5
- less effort
- 280
- 150
- 950
- load ÷ effort
- no, work stays the same
- 400
- 240
- 1400
- 100
- 700
- 30
- joule (J)
- 180
- 450
- 870
- 220
- 1410
- 100
- 2450
- 1
- 5
- 900
- 140
- 300
- 5
- 900
- through a distance
- 4
- 3
- 2
- 5
- 600
- 440
- 10
- 6
- 10
- 960
- 3
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