Question

Satellite A has twice the mass of satellite B, and circles in the same orbit. Compare the two satellite's speeds. The speed of B is twice the speed of A. The speed of Bis half the speed of A. A. The speed of Bis one-fourth the speed of A. The speed of B is equal to the speed of A. The speed of Halley's Comet, while traveling in its elliptical orbit around the Sun, O is constant increases as it nears the Sun. decreases as it nears the Sun. O is zero at two points in the orbit. Let the average radius of a planet's orbit be R. Let the orbital period be T. What quantity is constant for all planets orbiting the Sun? A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be compared to the Earth's orbital period? One-fourth as much One-half as much Twice as much Four times as much

Answer 1

A) 4) the speed of B is equal to the speed of A.

because, orbital speed of satellite does not depend on mass of the satellite.

orbital speed, vo = sqrt(G*Me/r)

here r is the radius of the orbit.

B) 2) increases as it nears the sun.

Because, orbital speed, vo = sqrt(G*Me/r)

as r decreases vo increases.

C) 3) T2/R3

T = 2*pi*R^(3/2)/sqrt(G*M_sun)

T^2 = 4*pi^2*R^3/(G*M_sun)

T^2/R^3 = constant.

D) 2) one-half as much

because,

T = 2*pi*r^(3/2)/sqrt(G*M_sun)

when star has 4*M_sun, Time period becomes T/2 .