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.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 2.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 3.🏋️ A force of 80 N did 160 J of work. How many metres did the object move?
- 4.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 5.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 6.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 7.🏋️ A force of 310 N did 310 J of work. How many metres did the object move?
- 8.🏋️ A 15 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.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 250 N did 750 J of work. How many metres did the object move?
- 19.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 6 m took 840 J of work. What force was used, in newtons?
- 22.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 24.🏋️ A force of 100 N did 100 J of work. How many metres did the object move?
- 25.🏋️ A force of 390 N did 1170 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 220 N did 660 J of work. How many metres did the object move?
- 28.🏋️ A force of 470 N did 1410 J of work. How many metres did the object move?
- 29.🏋️ 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?
- 30.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 32.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 33.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 50 N did 300 J of work. How many metres did the object move?
- 36.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 140 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 130 N did 780 J of work. How many metres did the object move?
- 40.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
Answer key
- 130
- load ÷ effort
- 2
- no, work stays the same
- joule (J)
- through a distance
- 1
- 600
- 200
- 950
- 100
- 2720
- 6
- 300
- 5
- 700
- 5
- 3
- 7
- 3
- 140
- 20
- 280
- 1
- 3
- 2
- 3
- 3
- 50
- 700
- 3
- 4
- 150
- 1500
- 6
- 3
- 1260
- 40
- 6
- 1
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