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.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 2.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 30 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 4.🏋️ 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?
- 5.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 6.🏋️ 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?
- 7.🏋️ A force of 330 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 11.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 12.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 390 N did 3900 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 16.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 18.🏋️ A force of 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 20.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 21.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 190 N did 1710 J of work. How many metres did the object move?
- 23.🏋️ A force of 380 N did 1520 J of work. How many metres did the object move?
- 24.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 28.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 12 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 280 N did 280 J of work. How many metres did the object move?
- 32.🏋️ A force of 400 N did 2000 J of work. How many metres did the object move?
- 33.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 34.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 36.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 120 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- joule (J)
- 450
- 210
- 130
- 1
- 270
- 990
- 30
- 450
- 130
- less effort
- 2580
- 10
- 300
- through a distance
- 1440
- 160
- 3600
- 2
- load ÷ effort
- 60
- 9
- 4
- 1080
- 250
- 2
- 340
- 800
- 6
- 120
- 1
- 5
- 9
- 300
- no, work stays the same
- 2
- 6
- 480
- 900
- 1000
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