# College Physics

posted by .

An artificial satellite is moving in a circular orbit with a speed of 6.5 km/s and a period of 80.0 min. A retarding rocket fires in a direction opposite to the motion. This provides a retarding deceleration of 21.0 m/s2. What is the acute angle between the radius vector and the total acceleration of the satellite?

• College Physics -

you have two acceleation vectors.
One is gravity.
Two is the rocket firing
Both of those is at 90 degrees, so the angle can be found from the tangent when adding those.

Gravity: v^2/r

you are given v (convert to m/s), but r can be found from

v^2/r=g(re/r)^2
or r=g*(rearth/v)^2

gravity acceleration= v^2/g(re/v)^2

figure that out, it is pointed down. Check my math.

check all this , I did it in my head.

• College Physics -

bobpursley's answer is wrong. The question isn't a satellite revolving earth anyways.

• College Physics -

Total Acceleration will consist of Centripetal (which is in the same direction as the r vector) and Tangential (which at any given moment will be your retarding one. With that we can set up a triangle that gives us the angle needed.

Since we don't know radius we can use V=r2Pi/T and solve for Centripetal.

We get V2Pi/T= Ac. From Ac=V^2/r and using our solve for r from above.

Our answer will be |arctan( Aretarding/Ac)|:

|arctan(21/(V2Pi/T))=67.96deg

## Similar Questions

1. ### physics

An Earth satellite moves in a circular orbit 775 km above the Earth's surface. The period of the motion is 100.1 min. (a) What is the speed of the satellite?
2. ### Physics

A satellite of mass 220 kg is launched from a site on Earth's equator into an orbit at 200 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite?
3. ### Physics I

An Earth satellite moves in a circular orbit 770 km above the Earth's surface. The period of the motion is 100.0 min. What is the speed of the satellite?
4. ### Physics

An Earth satellite moves in a circular orbit at a speed of 5800 m/s. a)What is the radius of the satellite's orbit?
5. ### physics college

A rocket booster fires in space with a force of 500N and moves the 10kg satellite from rest to motion in 2.1 seconds. Find the acceleration?
6. ### Physics

A 50-kg satellite circles the Earth in an orbit with a period of 120 min. What minimum energy is required to change the orbit to another circular orbit with a period of 180 min?
7. ### Physics

An artificial satellite circles the Earth in a circular orbit at a location where the acceleration due to gravity is 8.26 m/s2. Determine the orbital period of the satellite.
8. ### physics

A satellite of mass 205 kg is launched from a site on Earth's equator into an orbit at 200 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite?
9. ### Physics Circular Motion

A satellite in orbit around the earth has a period of one hour. An identical satellite is placed in an orbit having a radius that is nine times larger than that of the first satellite. What is the period of the second satellite?
10. ### Physics

An Earth satellite moves in a circular orbit 765 km above the Earth's surface. The period of the motion is 99.9 min. (a) What is the speed of the satellite?

More Similar Questions