Tuesday

September 16, 2014

September 16, 2014

Posted by **Mike** on Monday, April 5, 2010 at 2:37am.

How high does it go?

- Projectile Motion Problem -
**drwls**, Monday, April 5, 2010 at 12:09pmSince that is quite a high launch velocity, comparable to the escape velocity, you have to take into account the decrease in the acceleration of gravity with distance. You can do that by using the correct formula for the potential energy function V(r), where r is the distance from the center of the Earth. At launch, r1 = re = 6378*10^3 m.

The initial velocity in m/s is

V1 = 3333 m/s.

At the highest altitude, V2 = 0

The potential energy can be written

V(r) = - M g'/r

where g' is the value at the earth's surface (re), 9.80 m/s^2

Solve this equation for the largest distance from earth center, r2:

-Mg'[(1/r) - (1/re)] = (1/2) M V1^2

The M's cancel out. Solve for r and subtract re for the altitude.

**Answer this Question**

**Related Questions**

Physics - PROJECTILE LAUNCHED FROM EARTH'S SURFACE? A projectile is shot ...

Physics - A projectile is shot straight up from the earth's surface at a speed ...

Physics - A projectile is shot straight up from the earth's surface at a speed ...

physics - A 3Kg projectile is fired straight upward from earth's surface with a ...

physics - A projectile with mass of 139 kg is launched straight up from the ...

physics - A projectile is shot straight up from the earth's surface at a speed ...

Science - Physics - When a projectile is fired horizontally, which of the ...

Gravitation help..........thanks - A projectile is shot directly away from Earth...

Physics - A projectile is launched at an angle of 34.0o above the horizontal. ...

physics - A projectile of mass 1.450 kg is shot straight up with an initial ...