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 190 N did 1520 J of work. How many metres did the object move?
- 2.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 3.🏋️ Pushing a crate 10 m took 2800 J of work. What force was used, in newtons?
- 4.🏋️ A force of 160 N did 1600 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 430 N did 3010 J of work. How many metres did the object move?
- 9.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 3 m took 150 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 110 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 14.🏋️ 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?
- 15.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 16.🏋️ 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?
- 17.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 500 N did 5000 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 1 m took 400 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 29.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 30.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 31.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 33.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 290 N did 1160 J of work. How many metres did the object move?
- 40.🏋️ 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?
Answer key
- 8
- 3
- 280
- 10
- 250
- 2870
- 1170
- 7
- 3
- 50
- 3
- 1100
- 1500
- 100
- no, work stays the same
- 720
- 1500
- 600
- 450
- 30
- 450
- 650
- 10
- 400
- 450
- 900
- 540
- 380
- 100
- joule (J)
- 360
- 3
- 110
- 900
- 1000
- 5
- 630
- 1000
- 4
- 640
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