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 6 m took 180 J of work. What force was used, in newtons?
- 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 3.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 6.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 440 N did 1320 J of work. How many metres did the object move?
- 10.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 12.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 370 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 480 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 16.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 17.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 90 N did 630 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 6 m took 2580 J of work. What force was used, in newtons?
- 23.🏋️ A force of 290 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 24.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 25.🏋️ A force of 170 N did 680 J of work. How many metres did the object move?
- 26.🏋️ An 11 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 force of 40 N did 240 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 5 m took 1150 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 2 m took 340 J of work. What force was used, in newtons?
- 30.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 31.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 33.🏋️ 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?
- 34.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 390 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 90 N did 540 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 30
- load ÷ effort
- 250
- 210
- 2
- 850
- 800
- 1680
- 3
- 600
- less effort
- 2
- 3330
- 3840
- 500
- no, work stays the same
- 400
- 300
- 550
- 330
- 7
- 430
- 2320
- joule (J)
- 4
- 220
- 6
- 230
- 170
- 10
- 10
- 390
- 640
- 5
- 300
- 950
- 3120
- 6
- 2
- 550
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