Work Done by Air Resistance on rain drops

In summary, a 2.76 x 10^-5 kg raindrop falls vertically at constant speed under the influence of gravity and air resistance. The work done by gravity is 0.03543288 J and the work done by air resistance is equal and opposite to the work done by gravity.
  • #1
grouchy
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0

Homework Statement



A 2.76 x 10^-5 kg raindrop falls vertically at constant speed under the influence of gravity and air resistance. After the drop has fallen 131m, what is the work done by gravity? After J is found for gravity, what is the work done by air resistance in units of J.

Homework Equations



W = FD

The Attempt at a Solution



I got the work done by gravity W = (mg)*d. so that W is 0.03543288 J. But I have no idea where to start with the air resistance...
 
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  • #2
nvm, got the answer. its the opposite of the work of gravity since the speed is constant
 
  • #3
Since the rain drop falls at a constant speed, the upward force of air resistance must be exactly the same as the force of gravity.

Take a look at "work done by gravity"? If there were no air resistance, the loss in potential energy, (mg)d, would go into increased kinetic energy. But here, because the speed is constant there is no increase in kinetic energy. Where do you think all that loss of potential energy goes?
 

1. What is air resistance?

Air resistance, also known as drag, is a force that opposes the motion of an object through the air. It is caused by the collision of air molecules with the surface of the object, resulting in a slowing down of its movement.

2. How does air resistance affect rain drops?

When rain drops fall through the air, they experience air resistance which causes them to slow down. This is because the rain drops have a larger surface area compared to their weight, making it easier for air molecules to collide with them.

3. How does air resistance impact the speed of rain drops?

As rain drops fall, air resistance increases and slows down their speed. This is known as terminal velocity, which is the point where the force of air resistance equals the force of gravity pulling the rain drop down. At this point, the rain drop will continue to fall at a constant speed.

4. Does air resistance have an effect on the size of rain drops?

Air resistance does not directly affect the size of rain drops. However, as rain drops fall, they may collide with other rain drops, causing them to merge and form larger drops. This process is known as coalescence and can result in larger rain drops.

5. Can air resistance be used to measure the mass of rain drops?

No, air resistance cannot be used to measure the mass of rain drops. This is because air resistance is affected by the size and shape of an object, as well as its speed. Therefore, it cannot be used as a reliable method for measuring the mass of rain drops.

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