A planet in another solar system orbits a star with a mass of kg

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A planet in another solar system orbits a star with a mass of

4.0 \times 10^{30}

kg. At one point in its orbit it is

250 \times 10^6

km from the star and is moving at 35 km/s. Take the universal gravitational constant to be

6.67 \times 10^{-11} \text{ Nm}^2/\text{s}^2

and calculate the semi-major axis of the planet's orbit. The result is: (A)

79 \times 10^6

km (B)

160 \times 10^6

km (C)

290 \times 10^6

km (D)

320 \times 10^6