A block B is pushed momentarily along a horizontal surface...

A block $B$ is pushed momentarily along a horizontal surface with an initial velocity $v$. If $\mu$ is the coefficient of sliding friction between $B$ and the surface, block $B$ will come to rest after a time [UP SEF 2007] (a) $\frac{v}{g \mu}$ (b) $\frac{g \mu}{v}$ (c) $\frac{g}{v}$ (d) $\frac{v}{g}$

A block $B$ is pushed momentarily along a horizontal surface with an initial velocity $v$. If $\mu$ is the coefficient of sliding friction between $B$ and the surface, block $B$ will come to rest after a time [UP SEF 2007]
(a) $\frac{v}{g \mu}$
(b) $\frac{g \mu}{v}$
(c) $\frac{g}{v}$
(d) $\frac{v}{g}$

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Key Concepts

Friction and the Coefficient of Friction

Friction is a resistive force that opposes the relative motion between two contacting surfaces. The coefficient of friction (?) is a dimensionless quantity that characterizes the frictional interaction between these surfaces, allowing one to calculate the frictional force using the relationship F = ?N, where N is the normal force.

Newton's Second Law of Motion

Newton's Second Law states that the net force acting on an object is equal to the product of its mass and acceleration (F = ma). This law is essential for understanding how forces, such as friction, influence the acceleration or deceleration of an object.

Kinematic Equations for Uniform Acceleration

The kinematic equations describe the motion of objects under constant acceleration. They relate displacement, initial velocity, acceleration, and time. In situations involving uniform deceleration due to friction, these equations allow one to calculate the time required for an object to come to rest by setting the final velocity to zero and solving for time.

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