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 smooth ramp is 10 m long and rises 2 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 3.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 4.🏋️ 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)
- 5.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 6.🏋️ Pushing a crate 7 m took 2030 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 9.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 10.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 280 N did 2520 J of work. How many metres did the object move?
- 13.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 14.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 21.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 22.🏋️ A force of 80 N did 160 J of work. How many metres did the object move?
- 23.🏋️ A force of 210 N did 1680 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 200 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 440 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ An 18 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 110 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 390 N did 1950 J of work. How many metres did the object move?
Answer key
- 850
- no, work stays the same
- 4
- 250
- load ÷ effort
- 290
- 2
- 3
- through a distance
- 3
- 2
- 9
- less effort
- 350
- 3
- 6
- 250
- 750
- 6
- 5
- joule (J)
- 2
- 8
- 600
- 3290
- 5
- 250
- 780
- 170
- 3
- 4
- 1800
- 3080
- 750
- 180
- 330
- 100
- 170
- 550
- 5
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