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.
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- 1.🏋️ A force of 430 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 8 m took 3120 J of work. What force was used, in newtons?
- 4.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 7.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 13.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 15.🏋️ Pushing a crate 5 m took 900 J of work. What force was used, in newtons?
- 16.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 17.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 170 N did 850 J of work. How many metres did the object move?
- 20.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 22.🏋️ A force of 100 N did 100 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 8 m took 1440 J of work. What force was used, in newtons?
- 24.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 5 m took 850 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 9 m took 3330 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 7 m took 1820 J of work. What force was used, in newtons?
- 28.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 31.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 190 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 230 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 3010
- 120
- 390
- 2450
- 6
- 400
- 5
- 4500
- 800
- 300
- load ÷ effort
- no, work stays the same
- 3
- 2
- 180
- joule (J)
- 4
- 540
- 5
- 160
- through a distance
- 1
- 180
- 4400
- 170
- 370
- 260
- 30
- 360
- less effort
- 90
- 30
- 2
- 950
- 2
- 300
- 3
- 2
- 100
- 1840
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