Help With Kinematics/Work, Energy, Power Problem

[qszwdxefc]

Homework Statement

Calculate the velocity a 1.0g raindrop would reach if it fell from a height of 1.0km. You may ignore all forces of friction.

Homework Equations

Fg = mg, where g = 9.81 m/s^2
W = Fparallel x d

The Attempt at a Solution

I used Fg = mg to find that Fg = 0.00981 N.
Then, I had no clue what formula to use after this :S.

Thanks.

 

[Pythagorean]

There's a connection between:

you're starting and ending velocity
and
your acceleration

hint: assume the drop starts from rest... so you know the starting velocity. And the acceleration is also a known constant.

 

[nlightner]

Hello,

Thank you for reaching out for help with your kinematics/work, energy, and power problem. I am happy to provide a response to assist you in solving this problem.

To start, let's break down the problem and identify what information we have been given. We know that the raindrop has a mass of 1.0g and it is falling from a height of 1.0km. We are also told to ignore any forces of friction, which means we can consider this to be a free-fall motion with only the force of gravity acting on the raindrop.

Next, we need to determine what we are trying to find. In this case, we are looking for the velocity that the raindrop will reach when it falls from 1.0km. We can use the equation v^2 = u^2 + 2as to solve for the final velocity, where v is the final velocity, u is the initial velocity (which is 0 in this case since the raindrop starts from rest), a is the acceleration (which is equal to the acceleration due to gravity, g = 9.81 m/s^2), and s is the displacement (which is 1.0km or 1000m in this case).

So, plugging in the given values, we get:

v^2 = 0^2 + 2(9.81 m/s^2)(1000 m)
v^2 = 19620 m^2/s^2
v = √(19620 m^2/s^2)
v = 140 m/s

Therefore, the velocity that the 1.0g raindrop would reach if it fell from a height of 1.0km is 140 m/s.

I hope this helps you to understand the problem and how to approach it. If you have any further questions or need clarification, please don't hesitate to ask. Keep up the good work!

Best,