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.🏋️ Pushing a crate 2 m took 400 J of work. What force was used, in newtons?
- 2.🏋️ A force of 330 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 3.🏋️ 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)
- 4.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 5.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 7.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 280 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 10 m took 3900 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 500 N did 5000 J of work. How many metres did the object move?
- 15.🏋️ 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)
- 16.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 17.🏋️ 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?
- 18.🏋️ A force of 60 N did 60 J of work. How many metres did the object move?
- 19.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 23.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 32.🏋️ 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?
- 33.🏋️ 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?
- 34.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 35.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 230 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 200
- 1320
- 1000
- 4
- 600
- joule (J)
- 100
- 5
- 280
- 390
- 600
- 300
- 560
- 10
- 650
- 350
- 400
- 1
- no, work stays the same
- 400
- 5
- 4
- 100
- 4
- 360
- 180
- 600
- 60
- 600
- 680
- load ÷ effort
- 750
- 450
- 4
- 270
- 320
- 420
- 2070
- 6
- 550
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