Within a certain type of star called a neutron star, the material at the center has a mass density of 1.0 × 10¹⁸ kg/m³. If a tiny sphere of this material of radius 1.0 × 10^-⁵ m were somehow transported to the surface of the earth, what would be the weight of this sphere? A)1000 N B)4200 N C)4.1 × 10⁴ N D)7.0 × 10⁴ N E)3.8 × 10⁹ N

Question

Quizplus · Accepted Answer

The volume of the sphere is calculated using the formula V = (4/3)πr³. With r = 1.0 × 10⁻⁵ m, the volume V = (4/3)π(1.0 × 10⁻⁵)³ m³. The mass is then density × volume = 1.0 × 10¹⁸ kg/m³ × V. The weight is mass × g (acceleration due to gravity, 9.8 m/s²). Calculating these gives approximately 4.1 × 10⁴ N.

Within a Certain Type of Star Called a Neutron Star