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 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?
- 2.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 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.🏋️ A force of 190 N did 190 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 1 m took 100 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A 12 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.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 10.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 11.🏋️ Pushing a crate 5 m took 1700 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 13.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 15.🏋️ A 4 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 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ 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)
- 18.🏋️ 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
- 19.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 20.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 24.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 26.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 27.🏋️ Pushing a crate 4 m took 120 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 31.🏋️ 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)
- 32.🏋️ A force of 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 34.🏋️ A force of 390 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 2 m took 620 J of work. What force was used, in newtons?
- 36.🏋️ A force of 490 N did 1470 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 40.🏋️ A force of 310 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 360
- 5
- 300
- 1
- 100
- 800
- 240
- 40
- 4
- load ÷ effort
- 340
- 6
- 5
- 5
- 120
- 1050
- 700
- no, work stays the same
- joule (J)
- 180
- 300
- 850
- 4
- 760
- 270
- less effort
- 30
- 5
- 150
- 6
- 300
- 1400
- through a distance
- 1170
- 310
- 3
- 6
- 4
- 9
- 2480
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