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.🏋️ Pushing a crate 5 m took 150 J of work. What force was used, in newtons?
- 2.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Pushing a crate 4 m took 1280 J of work. What force was used, in newtons?
- 4.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 5.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 8 m took 240 J of work. What force was used, in newtons?
- 7.🏋️ A force of 310 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 410 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ 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
- 15.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 240 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ 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)
- 18.🏋️ A 3 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 force of 320 N did 320 J of work. How many metres did the object move?
- 20.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 21.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 22.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 23.🏋️ A force of 330 N did 330 J of work. How many metres did the object move?
- 24.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 25.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 8 m took 2880 J of work. What force was used, in newtons?
- 28.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 410 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 33.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 180 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 37.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 38.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 7 m took 2800 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 30
- 450
- 320
- 5
- 6
- 30
- 1860
- 950
- 600
- 1170
- 410
- 5
- 450
- no, work stays the same
- 700
- 1920
- 700
- 120
- 1
- 3
- 3
- joule (J)
- 1
- less effort
- 900
- 100
- 360
- 300
- 950
- 3280
- 40
- through a distance
- 6
- 900
- 200
- 50
- load ÷ effort
- 4
- 400
- 400
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