A microsatellite of mass is initially drifting in space with negligible speed…

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

Problem

A microsatellite of mass 400 kg400\,\text{kg} is initially drifting in space with negligible speed relative to an inertial frame. Its onboard thrusters are fired, giving it a velocity of 2.0 m/s2.0\,\text{m/s} at an angle of 30∘30^{\circ} above the positive xx–axis in the xx–yy plane. (a) Resolve the satellite’s final velocity into its xx and yy components. (b) Determine the corresponding components of its linear momentum. (c) Write the momentum vector in component form (px ı^+py ȷ^)\big(p_x\,\hat\imath + p_y\,\hat\jmath\big) and calculate its magnitude. (d) Calculate the impulse delivered to the satellite by the thrusters and state its direction using unit vector notation.

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