**(a)**

Kinetic energy:

$\overline{){\mathbf{K}}{\mathbf{E}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{m}}{{\mathbf{v}}}^{{\mathbf{2}}}}$

v = 1.20 × 10^{4} km/hr (1hr/60min)(1min/60s)(1000m/1km) = 3.333 × 10^{3} m/s

KE = (1/2)(629)(3.333 × 10^{3}) = 3.49 × 10^{9} J

Ten days after it was launched toward Mars in December 1998, the Mars Climate Orbiter spacecraft (mass 629 kg) was 2.87x10^{6} km from the earth and traveling at 1.20x10^{4} km/hr relative to the earth.

(a) At this time, what was the spacecraft's kinetic energy relative to the earth?

(b) What was the potential energy of the earth-spacecraft system?

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