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,
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: Oct 21, 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
(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