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 5 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.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 3.🏋️ Pushing a crate 9 m took 4410 J of work. What force was used, in newtons?
- 4.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 5 m took 2050 J of work. What force was used, in newtons?
- 9.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 6 m took 900 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 5 m took 750 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 13.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 14.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ 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?
- 16.🏋️ A force of 110 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 20.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 9 m took 900 J of work. What force was used, in newtons?
- 23.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ 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
- 26.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 29.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 8 m took 480 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 8 m took 3680 J of work. What force was used, in newtons?
- 34.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 330 N did 990 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 8 m took 2800 J of work. What force was used, in newtons?
- 39.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 40.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 50
- joule (J)
- 490
- 1080
- 3600
- 30
- 4
- 410
- 750
- 150
- 150
- 5
- less effort
- 3
- 450
- 990
- 600
- 950
- load ÷ effort
- 750
- 300
- 100
- 2
- 400
- no, work stays the same
- 800
- 150
- through a distance
- 100
- 900
- 1440
- 60
- 460
- 70
- 3
- 250
- 60
- 350
- 3
- 100
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