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 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 3.🏋️ 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
- 4.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 6.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 330 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 430 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 10 N did 20 J of work. How many metres did the object move?
- 15.🏋️ A force of 120 N did 1080 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 18.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 20.🏋️ A force of 420 N did 840 J of work. How many metres did the object move?
- 21.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 22.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 30 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 26.🏋️ A force of 300 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 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.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 30.🏋️ A force of 240 N did 960 J of work. How many metres did the object move?
- 31.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 4 m took 1880 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ 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?
- 37.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 400
- 2000
- no, work stays the same
- 540
- load ÷ effort
- 200
- 700
- 700
- 30
- 500
- 3300
- 3010
- 1080
- 2
- 9
- 3
- 2
- 50
- 70
- 2
- through a distance
- 40
- 420
- 210
- joule (J)
- 1200
- 700
- 900
- less effort
- 4
- 900
- 470
- 4
- 500
- 350
- 20
- 280
- 5
- 120
- 600
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