A smooth ball is resting on an ideal frictionless plane inclined on both sides. The ball is released from the left and the angle of right plane inclination is small in Case-I and zero in Case-II (flat). The ball travels ________ compared to the equally inclined case.
The problem involves a ball released on a smooth, frictionless incline, with different conditions for two cases. Let's analyze each case:
- Case-I: The ball is released from the left and the right incline has a small angle.
In this scenario, the ball will roll down the left incline due to gravity and then ascend the right incline. Because the incline on the right is small, the ball will travel a longer distance before coming to a stop compared to a scenario where both inclines are equally steep.
- Case-II: The ball is released from the left and the right side is flat (zero inclination).
Here, once the ball rolls down the left incline, it moves onto a flat surface. Since there is no friction to stop it, the ball will continue to move indefinitely on the flat surface.
Thus, in Case-I, the ball travels a farther distance compared to the equally inclined case due to the smaller angle, and in Case-II, it moves forever because there is no opposing force on the frictionless plane.
Therefore, the correct answer is: "farther distance in Case-I and moves forever in Case-II".
Important Questions from Motion
The motion of a particle of mass m is described by the relation, y = ut - 1⁄2 gt2, where u is the initial velocity of the particle. The force acting on the particle is
The motion of ______ body is an example of uniformly accelerated motion.
- in a particular direction is velocity.
Motion of an object is if its velocity is constant.
The motion of the body moving along a circular path is an example of ______.
