Physics

Problem

A rocket of negligible mass compared to Earth is launched vertically from Earth’s surface with speed

8\,\text{km}\,\text{s}^{-1}

. Neglecting air resistance, up to what maximum height

h

(in km) above the surface will it rise? Take

R = 6.4\times10^{6}\,\text{m}

and

GM = 3.986\times10^{14}\,\text{m}^{3}\,\text{s}^{-2}

. a)

6.1\times10^{3}\ \text{km}

6.8\times10^{3}\ \text{km}

1.3\times10^{4}\ \text{km}

3.3\times10^{3}\ \text{km}