In: Physics
Neutron stars consist only of neutrons and have unbelievably high densities. A typical mass and radius for a neutron star might be 3.7 x 1028 kg and 1.3 x 103 m. (a) Find the density of such a star. (b) If a dime (V = 2.0 x 10-7 m3) were made from this material, how much would it weight (in pounds)?
Let the mass of neutron star (M) = 3.7× kg
the radius of neutron star (R) = 1.3 × m
a) Density = Mass / Volume = M/V
where Volume (V) = 4 π /3
= 3 M/4π
substituting values
= 3× 3.7 × / 4 ×π ××
= 4.0205× kg /
The density of a star ( ) = 4.0205 × kg /
b) Given volume of dime () = 2.0 ×
Weight (W) = mg =
on substituting values
W = 4.0205 × × 2.0× × 9.8
= 7.88 × N
weight in lb = 7.88 × N × 1lb /4.448 N
= 1.7716 × lb