Question

3.) If you were somehow able to stand on the surface of a neutron star, you would experience acceleration due to gravity of about 1.3 x 10^12 m/sec^2. [If you dropped a ball
while standing there, the ball would quickly approach the speed of light in less than one second!] What is the acceleration due to gravity on the surface of a neutron star
in \english" units of miles/hr^2? Explicitly show how you converted the units.

4.) There are three fundamental constants in nature which we will use in this problem:
The speed of light c = 3 x 10^8 m/
sec
Newton's Gravitational constant, G = 6:67 x 10^-11 m^3/
kg.sec^2
Planck's constant h = 1.055 x 10^-34 kg . m^2/
sec
By multiplying/dividing and/or raising these quantities to powers:
(a) Find a formula for a quantity with dimensions of length, and explain how you got
it. Then evaluate this quantity numerically.
(b) Find a formula for a quantity with dimensions of time, and explain how you got
it. Then evaluate this quantity numerically.

(c)Find a formula for a quantity with the dimensions of mass, and explain how you got it. Then evaluate this quantity numerically.

These three quantities which you have found are, in some sense, \nature's units".

Answer 1