Physics

Physics

Problem

A probe is moving at 10.5 km s−110.5\,\text{km}\,\text{s}^{-1} in a circularized path 300 km300\,\text{km} above Earth’s surface (distance from Earth’s center r=RE+3.00×105 mr = R_E + 3.00\times10^{5}\,\text{m}). Using the constants in Question 1, determine the sign (positive, zero, or negative) of the probe’s total mechanical energy with respect to Earth and state whether the orbit is bound, marginal (escape), or unbound.

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