Question:

A train is moving along the tracks at a constant speed u. A girl on the train throws a ball of mass m straight ahead along the direction of motion of the train with speed v with respect to herself. Then,

Updated On: Sep 15, 2024
  • The kinetic energy of the ball as measured by the girl on the train is \(\frac{mv^2}{2}\)
  • work done by the girl in throwing the ball is \(\frac{mv^2}{2}\).
  • Work done by the train mvu
  • The gain is the kinetic energy of the ball as measured by a person standing by the rail track is \(\frac{mv^2}{2}\).
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The Correct Option is A, B, C

Solution and Explanation

The correct answer is/are option(s):
(A): The kinetic energy of the ball as measured by the girl on the train is \(\frac{mv^2}{2}\)
(B): work done by the girl in throwing the ball is \(\frac{mv^2}{2}\).
(C): Work done by the train mvu
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration