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.🏋️ A force of 70 N did 70 J of work. How many metres did the object move?
- 2.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 3.🏋️ Pushing a crate 7 m took 2170 J of work. What force was used, in newtons?
- 4.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 5.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 90 N did 630 J of work. How many metres did the object move?
- 7.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 9.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 10.🏋️ A 9 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 smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 420 N did 2940 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 4 m took 1560 J of work. What force was used, in newtons?
- 15.🏋️ 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)
- 16.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 17.🏋️ 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?
- 18.🏋️ Pushing a crate 3 m took 540 J of work. What force was used, in newtons?
- 19.🏋️ A force of 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 380 N did 380 J of work. How many metres did the object move?
- 22.🏋️ 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)
- 23.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 6 m took 2880 J of work. What force was used, in newtons?
- 26.🏋️ 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)
- 27.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 14 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 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 5 m took 1150 J of work. What force was used, in newtons?
- 33.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 34.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 7 m took 2380 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ 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?
- 39.🏋️ A force of 220 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
Answer key
- 1
- less effort
- 310
- 180
- 600
- 7
- 600
- through a distance
- 4
- 360
- 550
- 2
- 7
- 390
- 250
- joule (J)
- 110
- 180
- 630
- 160
- 1
- 600
- 880
- 4
- 480
- 300
- 270
- 700
- 280
- 40
- 1080
- 230
- 2
- 120
- 340
- 6
- 1200
- 480
- 660
- 6
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