An Earth-orbiting research satellite of mass is initially in a circular orbit above…

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

Problem

An Earth-orbiting research satellite of mass

500\,\text{kg}

is initially in a circular orbit

300\,\text{km}

above Earth’s surface. It is raised to a new circular orbit

1\,000\,\text{km}

above the surface. How much work must be done on the satellite to accomplish this change in orbit? (Take Earth’s radius to be

6.37\times10^{6}\,\text{m}

and

G M_\text{E}=3.99\times10^{14}\,\text{m}^3/\text{s}^2

.) (a)

3.4\times10^{9}\,\text{J}

(b)

9.0\times10^{8}\,\text{J}

(c)

1.4\times10^{9}\,\text{J}

(d)

2.9\times10^{9}\,\text{J}