PhysicsClassical Physics

Tension Is a Force: A Ball in an Accelerating Freight Car

Calculate freight-car acceleration and string tension for a 20.0 g ball inclined 35.0° from vertical, using the horizontal and vertical components of tension.

Question

A 20.0-g ball hangs from the roof of a freight car by a string. When the freight car begins to move, the string makes an angle of 35.0° with the vertical.(a) What is the acceleration of the freight car?(b) What is the tension in the string?

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Evidence boundary

The data are from OpenStax University Physics Volume 1, Chapter 6, Problem 38. The solution uses the textbook’s steady-deflection model: the ball remains at a fixed angle relative to the accelerating car, with no vertical acceleration, and g = 9.80 m/s². An instantaneous angle during free oscillation would not by itself determine the car acceleration. No transient motion or measured data are supplied.