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 420 N did 2940 J of work. How many metres did the object move?
- 2.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 4.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 1 m took 280 J of work. What force was used, in newtons?
- 7.🏋️ A force of 210 N did 630 J of work. How many metres did the object move?
- 8.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 10.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 12.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 13.🏋️ A force of 250 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 160 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ 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)
- 16.🏋️ Pushing a crate 10 m took 2500 J of work. What force was used, in newtons?
- 17.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 18.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 19.🏋️ A force of 340 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 21.🏋️ Pushing a crate 5 m took 1200 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 9 m took 4320 J of work. What force was used, in newtons?
- 23.🏋️ A force of 190 N did 1520 J of work. How many metres did the object move?
- 24.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 26.🏋️ Pushing a crate 9 m took 2340 J of work. What force was used, in newtons?
- 27.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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?
- 30.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 33.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 34.🏋️ A force of 190 N did 1710 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 5 m took 50 J of work. What force was used, in newtons?
- 38.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 3 m took 930 J of work. What force was used, in newtons?
- 40.🏋️ A force of 40 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- 7
- 450
- through a distance
- 740
- 200
- 280
- 3
- 10
- 1550
- 350
- less effort
- 360
- 2500
- 1600
- 700
- 250
- 800
- load ÷ effort
- 1360
- no, work stays the same
- 240
- 480
- 8
- 420
- joule (J)
- 260
- 5
- 3
- 270
- 20
- 300
- 3
- 3
- 9
- 550
- 100
- 10
- 960
- 310
- 200
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