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.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 150 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 4.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 5.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 290 N did 1450 J of work. How many metres did the object move?
- 11.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 110 N did 880 J of work. How many metres did the object move?
- 15.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 5 m took 1500 J of work. What force was used, in newtons?
- 17.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 18.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 19.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 460 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 24.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 25.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 26.🏋️ 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
- 27.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 28.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 30.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 33.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 8 m took 2480 J of work. What force was used, in newtons?
- 35.🏋️ 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?
- 36.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 280 N did 2800 J of work. How many metres did the object move?
- 38.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 360 N did 360 J of work. How many metres did the object move?
- 40.🏋️ A force of 470 N did 2820 J of work. How many metres did the object move?
Answer key
- 6
- 900
- 3
- joule (J)
- 750
- 350
- 4
- 800
- 6
- 5
- 750
- 4
- 800
- 8
- 60
- 300
- 3
- through a distance
- 2
- 1840
- 90
- 950
- 6
- less effort
- 4
- no, work stays the same
- load ÷ effort
- 160
- 150
- 10
- 5
- 160
- 200
- 310
- 50
- 900
- 10
- 240
- 1
- 6
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