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 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 20 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 10.🏋️ A force of 130 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 260 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 15.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 16.🏋️ A force of 250 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 50 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 2 m took 680 J of work. What force was used, in newtons?
- 20.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 21.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 23.🏋️ A force of 80 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 31.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 10 m took 4000 J of work. What force was used, in newtons?
- 34.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ 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)
- 37.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 39.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 40.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
Answer key
- 20
- 420
- 300
- 40
- 350
- 1350
- 140
- 4
- 9
- 1300
- 3360
- 780
- 4140
- through a distance
- joule (J)
- 2500
- 300
- 3
- 340
- load ÷ effort
- 810
- 90
- 800
- 480
- 720
- 950
- 1440
- 300
- 750
- less effort
- 60
- 550
- 400
- 120
- 4
- 100
- 30
- 2
- 4
- no, work stays the same
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