A stone of mass is projected from ground level with a speed of at an angle of above…

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

Problem

A stone of mass 0.20 kg0.20\,\text{kg} is projected from ground level with a speed of 20 m s−120\,\text{m}\,\text{s}^{-1} at an angle of 37∘37^{\circ} above the horizontal. Air resistance is negligible and g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}. (i) Resolve the initial velocity into horizontal and vertical components. (ii) Hence calculate the corresponding components and the magnitude of the initial momentum. (iii) Determine the components and magnitude of the momentum at the highest point of the trajectory. (iv) Just before the stone returns to its original level, find the components and magnitude of its momentum. (v) State which component of momentum remains unchanged during the flight and explain why.

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