Multiple chice question.
1. The co efficent of restitution is defined on the basis of
a.Velocity component along the line of impact only.
b.Velocity compnent normal to the line of impact
c.Velocity vectors before and after the collision.
d.Energies of bodies before and after the impact
c.Velocity vectors before and after the collision.
To answer this multiple-choice question about the coefficient of restitution, we need to understand what the coefficient of restitution represents. The coefficient of restitution is a number that quantifies the elasticity of a collision between two objects. It describes how much kinetic energy is preserved or lost during the collision.
Now let's evaluate each option to determine which one defines the coefficient of restitution:
a. Velocity component along the line of impact only.
This option is incorrect because the coefficient of restitution not only considers the velocity component along the line of impact, but also the velocity component normal to the line of impact.
b. Velocity component normal to the line of impact.
This option is incorrect because, as mentioned above, the coefficient of restitution also considers the velocity component along the line of impact.
c. Velocity vectors before and after the collision.
This option is correct. The coefficient of restitution is defined based on the comparison of the velocity vectors before and after the collision.
d. Energies of bodies before and after the impact.
This option is incorrect. While the coefficient of restitution indirectly relies on energy conservation principles, it does not directly consider the energies of the bodies before and after the impact.
Therefore, the correct answer is option c: Velocity vectors before and after the collision.