Wednesday

July 23, 2014

July 23, 2014

Posted by **Paige** on Thursday, February 24, 2011 at 8:04pm.

- Physics -
**bobpursley**, Thursday, February 24, 2011 at 8:29pmNewtons law:

g= G Me/r^2

Now, if one halves the radius, mass is not half.

Mass=density*volume=density 4/3 PI r^3 so if radius goes down by 1/2, then mass goes to 1/8 Me

So your question is really confusing.

- Physics -
**Ash**, Friday, March 4, 2011 at 5:18pmNewton's law of universal gravitation:

where force equals the universal constant of gravity multiplied by mass of the earth and mass of an object divided by the raduis squared

F = G((m1*m2)/(r^2))

Force equals the mass of an object multiplied by the acceleration or 'g'

mg = G((m1*m2)/(r^2))

Mass of the object would cancel out on both sides since infact we do not have a second mass

g = G((m1)/(r^2))

The universal constant of gravity as Newton discovered is:

G = 6.67 * 10^-11 m^3/kg*s^2

The mass of the Earth is:

mass of the earth = 5.98 * 10^24 kg

The radius of the Earth is:

radius of the earth = 6.38 * 10^6 m

The mass then needs to be divided in half:

5.98 * 10^24 kg/2 = 2.94 * 10^24 kg

The radius then needs to be divided in half:

6.38 * 10^6 m/2 = 3.19 * 10^6 m

The equation for the acceleration or 'g' is:

g = 6.67 * 10^-11 m^3/kg*s^2((2.94 * 10^24 kg)/(3.19 * 10^6 m^2))

Leaving 'g' as:

g = 19.27 m/s^2

**Related Questions**

Physics - In an accidental explosion, a satellite breaks in half while in ...

physics - If the radius of the Earth somehow bloated to twice its size, with no ...

earth - In an accidental explosion, a satellite breaks in half while while in a ...

Chemistry - Which radioactive sample would contain the greatest remaining mass ...

ITT - In an accidental explosion, a satellite breaks in half while in circular ...

physic - In an accidental explosion, a satellite breaks in half while in ...

Math - Paul's car can have wheel's ranging from 18-24 inches radius. He has the ...

physics - The value of g at Earth’s surface is about 9.8 m/s^2. If Earth were of...

PHYSICS - A student of weight 830 N was sent to another planet called Nerdland. ...

physics - A student of weight 600 N was sent to another planet called Nerdland. ...