Posted by Paige on Thursday, February 24, 2011 at 8:04pm.
Newtons 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.
Newton'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 - If the radius of the Earth somehow bloated to twice its size, with no ...
Physics - In an accidental explosion, a satellite breaks in half while in ...
earth - In an accidental explosion, a satellite breaks in half while while in a ...
physics - The value of g at Earth’s surface is about 9.8 m/s^2. If Earth ...
Math - Paul's car can have wheel's ranging from 18-24 inches radius. He ...
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. ...
physics - A student of weight 990 N was sent to another planet called Nerdland. ...
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 ...
For Further Reading
