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) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 2.🏋️ A force of 210 N did 210 J of work. How many metres did the object move?
- 3.🏋️ A force of 280 N pushes a cart 8 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 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 110 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 7.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 90 N did 90 J of work. How many metres did the object move?
- 11.🏋️ A force of 90 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 14.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 15.🏋️ A force of 200 N did 1800 J of work. How many metres did the object move?
- 16.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 17.🏋️ A force of 260 N did 1300 J of work. How many metres did the object move?
- 18.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 370 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ 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?
- 23.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 26.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 28.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 400 N did 3200 J of work. How many metres did the object move?
- 33.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 34.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 1 m took 110 J of work. What force was used, in newtons?
- 36.🏋️ A force of 290 N did 290 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 40.🏋️ A force of 260 N did 520 J of work. How many metres did the object move?
Answer key
- no, work stays the same
- 1
- 2240
- 130
- 3600
- 990
- 400
- 1000
- 220
- 1
- 630
- 400
- 20
- joule (J)
- 9
- less effort
- 5
- 2100
- 100
- 1000
- 2590
- 360
- 100
- 20
- through a distance
- 50
- 70
- 700
- 450
- 400
- 3
- 8
- load ÷ effort
- 330
- 110
- 1
- 600
- 4
- 4
- 2
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