The mass density of a planet varies with distance from the center as where C is a dimensionless constant, and R_P is the radius of the planet. The gravitational field of the planet for r

Question

The mass density of a planet varies with distance from the center as where C is a dimensionless constant, and R_P is the radius of the planet. The gravitational field of the planet for r < R_P is

Quizplus · Accepted Answer

The gravitational field at a distance r from the center of the planet can be calculated using the formula: g = -G (4/3)πr ρ(r) where G is the gravitational constant, and ρ(r) is the mass density at a distance r from the center. Substituting the given mass density function into the above formula, we get: g = -G (4/3)πr (11C/R_P) = -(11G/3R_P)πrC Since we are only interested in the gravitational field for r < R_P, we can substitute r = R_P into the above equation to get the maximum value of the gravitational field: gmax = -(11G/3R_P)πR_PC = -11GπC/3 Therefore, the correct answer is B) 11eaa4be_8504_b0ad_9e4a_61d34b44553d_TB6080_11.

The Mass Density of a Planet Varies with Distance from the Center