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.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 2.🏋️ Pushing a crate 7 m took 980 J of work. What force was used, in newtons?
- 3.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ 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)
- 5.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 7.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 70 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 10.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 13.🏋️ A force of 240 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ 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?
- 15.🏋️ 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?
- 16.🏋️ A force of 170 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 120 N did 840 J of work. How many metres did the object move?
- 18.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 320 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 20.🏋️ A 9 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.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 260 N did 2600 J of work. How many metres did the object move?
- 24.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 26.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 290 N did 1160 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ 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?
- 30.🏋️ Pushing a crate 9 m took 2340 J of work. What force was used, in newtons?
- 31.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 32.🏋️ A force of 500 N did 3500 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 3 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.🏋️ A force of 240 N did 720 J of work. How many metres did the object move?
- 36.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 9 m took 450 J of work. What force was used, in newtons?
- 38.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
Answer key
- no, work stays the same
- 140
- 1380
- 600
- 4
- 2
- load ÷ effort
- 150
- 700
- 5
- 1410
- through a distance
- 2160
- 330
- 300
- 1700
- 7
- 250
- 2240
- 270
- 110
- 2
- 10
- 80
- less effort
- 440
- 4
- 700
- 180
- 260
- joule (J)
- 7
- 500
- 60
- 3
- 10
- 50
- 180
- 170
- 3
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