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A spacecraft is traveling with a velocity of $v_{…

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Problem 11 Easy Difficulty

MMH The earth moves around the sun in a nearly circular orbit of radius $1.50 \times 10^{11} {m}$ During the three summer months (an elapsed time of $7.89 \times 10^{6} {s} )$ the earth moves one-fourth of the distance around the sun. (a) What is the average speed of the earth? (b) What is the magnitude of the average velocity of the earth during this period?

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Video Transcript

So the question states, we need to find the speed and the velocity of the earth as it travels 1/4 of its orbit. So to find the speed we need to find what the distance is that it travels along its orbit. And to do this we know that the angle here is 90 degrees because it travels 1/4 of its orbit and we also know the radius was Call it are for now. But it's stated up here to find this distance we just needed, multiply are and high over to Now that we know this distance, we can divide by time t. And when we do this, we get an answer of 29,000 863 meters per second. Now to find the velocity, all we need to find is the displacement between the initial and the final point. So here's the initial point. Here's the final point, and we need to find this distance here. We can do this because it makes a triangle with both sides being of radius R. So that means the distance is going to be equal to square root of R squared plus R squared and then we can divide by the time to give us the velocity and when we do this, it's the same thing. A square root of two are divided by t, and when we plug everything in that we know we get 28,000 886 meters per second.

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Problem

A spacecraft is traveling with a velocity of $v_{…

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John D. Cutnell, Kenneth W. Johnson

Physics

Christina Krawiec

Farnaz Mohseni

Zachary Mitchell

Meghan Miholics

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Physics

Christina Krawiec

Farnaz Mohseni

Zachary Mitchell

Meghan Miholics

John D. Cutnell, Kenneth W. JohnsonPhysics

Christina Krawiec

Farnaz Mohseni

Zachary Mitchell

Meghan Miholics

John D. Cutnell, Kenneth W. Johnson

Physics