A space probe of mass is travelling in space with velocity relative to an inertial frame

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A space probe of mass 2.5×103 kg2.5\times10^{3}\,\text{kg} is travelling in space with velocity v=(7 i+2 j−4 k) km s−1\mathbf{v} = (7\,\mathbf{i} + 2\,\mathbf{j} - 4\,\mathbf{k})\,\text{km}\,\text{s}^{-1} relative to an inertial frame. Using this information, answer the following: (a) Express the given velocity in SI units. (b) Determine the linear momentum vector of the probe in unit-vector notation. (c) Calculate the magnitude of the probe’s momentum. (d) Find the component of momentum along the negative zz-axis and state whether this indicates motion toward or away from the origin along that axis.

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