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 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 3.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 7.🏋️ 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)
- 8.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
- 10.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 12.🏋️ A force of 410 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 15.🏋️ A force of 300 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 16.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 17.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 18.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Pushing a crate 6 m took 2220 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
- 30.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 35.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 36.🏋️ A force of 380 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 70
- 5
- 550
- 280
- 4
- 6
- 150
- 2
- 450
- 450
- through a distance
- 3690
- 800
- no, work stays the same
- 1500
- load ÷ effort
- less effort
- 90
- 750
- 10
- 650
- 70
- 1000
- 370
- 1000
- 140
- 600
- 20
- 150
- 640
- 210
- 270
- 550
- 6
- joule (J)
- 1520
- 2960
- 6
- 720
- 150
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