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.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 2.🏋️ A force of 430 N did 2150 J of work. How many metres did the object move?
- 3.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 4.🏋️ 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?
- 5.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 6.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 8.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 9.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 10.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 13.🏋️ Pushing a crate 10 m took 4000 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 15.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ 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)
- 17.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Pushing a crate 3 m took 1380 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 10 m took 2000 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 26.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 340 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 290 N did 1740 J of work. How many metres did the object move?
- 30.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 430 N did 2580 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 30 N did 60 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 5000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 38.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
- 39.🏋️ A force of 400 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ 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?
Answer key
- no, work stays the same
- 5
- less effort
- 40
- joule (J)
- 7
- through a distance
- 2
- load ÷ effort
- 5
- 350
- 4
- 400
- 4
- 150
- 300
- 200
- 460
- 6
- 700
- 900
- 1000
- 200
- 470
- 5
- 120
- 310
- 3400
- 6
- 780
- 6
- 6
- 3
- 2
- 1000
- 300
- 340
- 1
- 1200
- 80
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