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 7 m took 490 J of work. What force was used, in newtons?
- 2.🏋️ A force of 120 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 300 N did 900 J of work. How many metres did the object move?
- 4.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 7.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 8.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 10.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 12.🏋️ 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?
- 13.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 15.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 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 500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 440 N did 2200 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 26.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 27.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 32.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 33.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 7 m took 1190 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 10 m took 4400 J of work. What force was used, in newtons?
- 36.🏋️ A force of 350 N did 1050 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
- 38.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 70
- 720
- 3
- 1800
- 120
- 3
- joule (J)
- 3600
- 3
- 510
- 2
- 420
- 360
- no, work stays the same
- 850
- 700
- 100
- 250
- 900
- 1000
- 5
- 400
- 480
- 3
- 5
- load ÷ effort
- 6
- 280
- 2
- 750
- through a distance
- less effort
- 2
- 170
- 440
- 3
- 40
- 840
- 5
- 350
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