A laboratory cart moves toward the right across a horizontal track at a constant…
PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
A laboratory cart moves toward the right across a horizontal track at a constant velocity of 1.2m/s. At the instant the cart passes point O, a small steel sphere is released from rest from a fixture 1.6m directly above the cart’s center. Neglect air resistance throughout.
Assume the downward direction is positive for the vertical axis, and the rightward direction is positive for the horizontal axis.
(a) Describe the path of the sphere relative to an observer standing on the laboratory floor. Justify your description without performing numerical calculations.
(b) Describe the motion of the sphere as observed by a student riding on the cart. Explain how this observation is consistent with your answer to part (a).
(c) Identify the physical condition(s) that allow the horizontal and vertical motions of the sphere to be treated independently in this experiment. Provide a qualitative explanation referencing forces acting on the sphere after release.
(d) Suppose a modest, uniform air current suddenly begins to blow the moment the sphere is released, exerting a constant horizontal force on the sphere toward the left. Qualitatively predict how the trajectories in parts (a) and (b) would change, and explain the reasoning behind each prediction.