Using the formula g = GM_NS/R²_NS,calculate the acceleration of gravity on a neutron star of mass 3 solar masses and radius 10 km,and express this in terms of the acceleration of gravity on the surface of the Earth (g = 9.8 m/s²).

Question

Quizplus · Accepted Answer

The acceleration of gravity on the surface of a neutron star is given by the formula g = GM_NS/R²_NS, where G is the gravitational constant, M_NS is the mass of the neutron star, and R_NS is the radius of the neutron star. Substituting the given values into the formula, we get:g = (6.674 × 10^-11 N m²/kg²) × (3 M_sun) / (10 km)²= 1.9 × 10¹⁴ m/s²Dividing this value by the acceleration of gravity on the surface of the Earth (g = 9.8 m/s²), we get:g_NS / g = 1.9 × 10¹⁴ m/s² / 9.8 m/s²= 1.9 × 10¹³Therefore, the acceleration of gravity on the surface of the neutron star is 1.9 × 10¹³ times greater than the acceleration of gravity on the surface of the Earth. The closest answer choice is D) 4 × 10¹¹, which is approximately 2 orders of magnitude less than the correct answer.

Using the Formula G = GMNS/R2NS,calculate the Acceleration of Gravity

Using the Formula G = GM_NS/R²_NS,calculate the Acceleration of Gravity