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 160 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 8 m took 880 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 7 m took 2030 J of work. What force was used, in newtons?
- 4.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ 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?
- 9.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 10.🏋️ Pushing a crate 9 m took 2790 J of work. What force was used, in newtons?
- 11.🏋️ A force of 350 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 7 m took 2170 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 4 m took 40 J of work. What force was used, in newtons?
- 15.🏋️ A force of 80 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
- 17.🏋️ A force of 420 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 24.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 25.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 27.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 28.🏋️ A force of 470 N did 1880 J of work. How many metres did the object move?
- 29.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 30.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 32.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
- 34.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 10 m took 2500 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 39.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 160
- 110
- 290
- 550
- 360
- 1200
- 40
- 760
- no, work stays the same
- 310
- 2800
- 8
- 310
- 10
- 720
- 270
- 2100
- 400
- 2
- 5
- 850
- 350
- load ÷ effort
- 140
- 2380
- through a distance
- joule (J)
- 4
- 1500
- 850
- 4400
- 100
- 500
- 560
- 250
- 6
- 500
- less effort
- 1000
- 900
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