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 1 m took 140 J of work. What force was used, in newtons?
- 2.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 6 m took 2700 J of work. What force was used, in newtons?
- 5.🏋️ A force of 390 N did 3900 J of work. How many metres did the object move?
- 6.🏋️ 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)
- 7.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 8.🏋️ A force of 210 N did 630 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 230 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 170 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 14.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 9 m took 3600 J of work. What force was used, in newtons?
- 16.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 18.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 19.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 150 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 23.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 24.🏋️ 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)
- 25.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 1 m took 250 J of work. What force was used, in newtons?
- 28.🏋️ A force of 360 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 31.🏋️ 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?
- 32.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 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 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?
- 35.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 140
- 750
- 300
- 450
- 10
- 900
- load ÷ effort
- 3
- 350
- 6
- 1840
- 340
- through a distance
- 900
- 400
- 3
- 10
- joule (J)
- 360
- 50
- 750
- 5
- less effort
- 600
- 3
- 650
- 250
- 1440
- 1100
- 330
- 560
- 1440
- 110
- 850
- 450
- 180
- 2
- 1000
- 2450
- 650
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