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A body of mass m moving at a constant velocity v hits another body of the same mass moving with a velocity v/2 but in the opposite direction and sticks to it . The common velocity what is the after collision?
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Collision of Two Bodies
When two bodies of the same mass collide with each other, their velocities change due to the conservation of momentum. In this scenario, we have a body of mass m moving at a velocity v colliding with another body of the same mass moving at a velocity v/2 in the opposite direction.
Conservation of Momentum
According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Mathematically, this can be expressed as:
m * v + m * (-v/2) = 2m * V_final
Where:
m = mass of each body
v = initial velocity of the first body
-v/2 = initial velocity of the second body
V_final = final velocity of the combined bodies after collision
Solving for Final Velocity
By solving the equation above, we can find the final velocity of the combined bodies after the collision.
m * v - m * v/2 = 2m * V_final
2m * v/2 - m * v/2 = 2m * V_final
m * v/2 = 2m * V_final
V_final = v/4
Therefore, after the collision, the two bodies will move together at a velocity of v/4 in the direction of the initial velocity of the first body. This is the common velocity attained by the two bodies after the collision.
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A body of mass m moving at a constant velocity v hits another body of the same mass moving with a velocity v/2 but in the opposite direction and sticks to it . The common velocity what is the after collision?
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