A supply package is released from a cargo plane that is moving horizontally at at an…

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A 5.0 kg5.0\,\text{kg} supply package is released from a cargo plane that is moving horizontally at 50 m s−150\,\text{m\,s}^{-1} at an altitude where air resistance on the package is negligible except for a small parachute that instantaneously deploys at the moment of release. The parachute produces a constant upward drag force of 30 N30\,\text{N} on the package. Neglect any horizontal forces other than the plane’s initial influence. (a) Determine the vertical acceleration of the package immediately after it is released. (b) Determine the horizontal acceleration of the package immediately after it is released. (c) Explain why the horizontal component of velocity of the package is initially the same as that of the plane even though a net vertical force acts on the package.

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