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 smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 3.🏋️ Pushing a crate 7 m took 2660 J of work. What force was used, in newtons?
- 4.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 6.🏋️ A force of 150 N did 1500 J of work. How many metres did the object move?
- 7.🏋️ 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?
- 8.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 9.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 10.🏋️ A force of 150 N did 300 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 3 m took 1020 J of work. What force was used, in newtons?
- 12.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 9 m took 3420 J of work. What force was used, in newtons?
- 14.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 18.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 20.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 2 m took 680 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 23.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 24.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 25.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 210 N did 1890 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 30.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 33.🏋️ 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)
- 34.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 36.🏋️ 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?
- 37.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 7 m took 1540 J of work. What force was used, in newtons?
- 39.🏋️ A force of 260 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 410 N did 2050 J of work. How many metres did the object move?
Answer key
- 650
- joule (J)
- 380
- 3
- 10
- 10
- 180
- less effort
- 5
- 2
- 340
- 720
- 380
- 740
- 6
- 840
- 330
- 240
- load ÷ effort
- 200
- 340
- 4
- no, work stays the same
- through a distance
- 4
- 2400
- 1400
- 9
- 5
- 2
- 20
- 320
- 300
- 30
- 360
- 850
- 400
- 220
- 780
- 5
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