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.
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- 1.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 2.🏋️ Pushing a crate 7 m took 1680 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A 13 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 smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 440 N when you push with 110 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 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ 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?
- 10.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 11.🏋️ A force of 300 N did 2100 J of work. How many metres did the object move?
- 12.🏋️ A force of 20 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ 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
- 15.🏋️ A force of 400 N did 2800 J of work. How many metres did the object move?
- 16.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 17.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 490 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 23.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 25.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ 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?
- 29.🏋️ 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?
- 30.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 440 N did 3080 J of work. How many metres did the object move?
- 32.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 33.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 34.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 37.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 38.🏋️ 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?
- 39.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 4
- 240
- 100
- 650
- 500
- 4
- load ÷ effort
- 700
- 760
- 90
- 7
- 160
- 80
- no, work stays the same
- 7
- through a distance
- 4
- 350
- 4900
- 4
- 280
- joule (J)
- 50
- 9
- 1
- 10
- 400
- 100
- 240
- 50
- 7
- less effort
- 470
- 500
- 130
- 2
- 4
- 40
- 310
- 1000
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