**Collision Experiment in Physics****Problem Statement:**A student is experimenting with collisions and rolls ball A (mass \( m_A \)) at block B (mass \( m_B \)) with a velocity of \( v_A \). The coefficient of restitution is \( e \) and the kinetic coefficient of friction is \( \mu_k \).**Question:**Determine the time it takes for block B to come to rest after the collision.**Illustration:**The image shows a ball labeled 'A' moving towards a block labeled 'B' on a flat surface. The ball 'A' has an initial velocity \( v_A \) indicated by an arrow, and block 'B' is on a surface with a kinetic friction coefficient \( \mu_k \).**Given Data:**Use the following given data to solve the problem using the Impulse-Momentum method:| Parameter | Symbol | Value | Units ||-----------|--------|-------|-------|| Mass of ball A | \( m_A \) | 2.3 | kg || Mass of block B | \( m_B \) | 3.8 | kg || Initial velocity of ball A | \( v_A \) | 4.7 | m/s || Coefficient of restitution | \( e \) | 0.75 | - || Kinetic coefficient of friction | \( \mu_k \) | 0.25 | - |**Explanation:**To solve this problem, we need to use the principles of impulse-momentum. This involves computing the velocity of block B immediately after the collision and then determining the time it takes for block B to come to a stop due to friction. Firstly, use the conservation of momentum and the coefficient of restitution to determine the velocity of block B just after the collision. Then, apply the principles of friction to find the deceleration of block B and use kinematics to determine the time it takes for block B to come to rest from its initial post-collision velocity.

The momentum is conserved in the collision, so the momentum before collision is equal to momentum…

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