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.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 2.🏋️ A force of 300 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 270 N did 540 J of work. How many metres did the object move?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 6.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 270 N did 270 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 90 N did 360 J of work. How many metres did the object move?
- 11.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 15.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 18.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ 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?
- 20.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 23.🏋️ A force of 300 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ 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)
- 25.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 150 N did 750 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 32.🏋️ A force of 330 N did 2310 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 35.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- less effort
- 2700
- 4
- 2
- no, work stays the same
- 600
- 1
- 3
- 5
- 4
- 800
- 180
- 120
- 290
- joule (J)
- 150
- 130
- 160
- 40
- 380
- 280
- 330
- 2100
- 700
- 30
- 5
- 5
- 200
- 510
- 810
- 60
- 7
- 100
- through a distance
- 5
- 250
- 3
- 650
- 2030
- 550
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