A satellite moves in a circular orbit of radius with speed

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

500\,\text{kg}

satellite moves in a circular orbit of radius

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

with speed

7.5\times10^{3}\,\text{m/s}

. After a brief inward radial thrust, the satellite settles into a new circular orbit of radius

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

. Neglect any external torques during the maneuver. What is the satellite’s speed in its new orbit? (a)

1.1\times10^{4}\,\text{m/s}

(b)

1.5\times10^{4}\,\text{m/s}

(c)

3.8\times10^{3}\,\text{m/s}

(d)

7.5\times10^{3}\,\text{m/s}