# Calculate linear momentum of earth

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1. May 6, 2015

### **Mariam**

1. The problem statement, all variables and given/known data
The mass of the Earth is 5.972 x 10^24 kg and its orbital radius is an average of 1.496 x 10^11 m. Calculate its linear momentum.

2. Relevant equations
P=mv

3. The attempt at a solution
I am not sure how to start?
Given:
mass= 5.972*10^24 kg
Radius(to travel around sun): 1.496*10^11 m
To find:
Tangential velocity and then use the p=mv formula??

Last edited: May 6, 2015
2. May 6, 2015

### TSny

Yes. How far does the earth travel in going around the sun once? How long does this take?

3. May 6, 2015

### **Mariam**

Oh, sorry I missed that we need time and then we can assume that charts travels in a circle so we find displacement then velocity....

So here is what I did:
Time=365 days*24hour*60min*60sec= 31,536,000 sec
Distance traveled= 2*pi*R= 9.4*10^11 m
Velocity= 29,806 m/s (this is tangential velocity so it is a linear velocity)
Momentum=mv= 1.78*10^29 kg*m/s

4. May 6, 2015

### TSny

That looks right.