Posted by **Jessi** on Friday, November 6, 2009 at 7:04pm.

Upon its return voyage from a space mission, the spacecraft has a velocity of 24000km/h at point A, which is 7000km from the center of the earth. Determine the velocity of the spacecraft when it reaches point B, which is 6500km from the center of the earth. The trajectory between these points is outside the effect of the earth's atmosphere.

I solved for the velocity and got 2.63*10^10 and the real answer is 26300km/h. How am I off by such a big factor of 10?

- physics -
**bobpursley**, Friday, November 6, 2009 at 7:47pm
I dont know how you solved it.

INT force.dx from A to b is the added energy.

INT GMe*Ms)/r^2 dr from A to B

GMe*Ms (1/6.5E6 - 1/7.5E6)=

6.67E-11*6.0E24 Ms(2.05E-8)=8.2E6*Ms

now, add that energy to the original KE

ORigal KE= 1/2 m*(6.67E3)^2=2.2E7*m

new KE= 8.2E6M

added it is 3.0 E7*M

M*3.0E7=1/2 M v^2

V= sqrt6E7

V= 2.78E4km/hr instead of 2.63E4km/hr

I didn't get the answer, check my work.

- physics -
**Jessi**, Friday, November 6, 2009 at 8:51pm
i see where you went wrong. you have 7.5E6 and the second radius and it's supposed to be 7.0E6. yeah that's how i worked the problem. i converted my answer wrong when i went from m/s to km/h thank you for your help!

## Answer this Question

## Related Questions

- Algebra URGENT! Conic sections - A spacecraft is in a circular orbit 150 ...
- physics - Consider a spacecraft that is to be launched from the Earth to the ...
- physics - Consider a spacecraft that is to be launched from the Earth to the ...
- Physics - When a spacecraft travels from the Earth to the Moon, both the Earth ...
- Physics - The De-orbit Burn The Shuttle must reduce its velocity at a pre-...
- science - What will eventually occur if in deep space an astronaut's wrench is ...
- physics - When a spacecraft travels from Earth to the Moon, the gravitational ...
- physics - A Titan IV rocket has put your spacecraft in a circular orbit around ...
- physics help please! - A spacecraft is on a journey to the moon. At what point...
- physics - A spacecraft is on a journey to the moon. At what point, as measured ...

More Related Questions