A moving body with a mass `m_(1)` strikes a stationary body of mass `m_(2)`. The masses `m_(1)` and `m_(2)` should be in the ratio `m_(1)/m_(2)` so as to decrease the velocity of the first body 1.5 times assuming a perfectly clastic impact. Then the ratio `m_(1)/m_(2)` is

Options

A. 5
B. 1//5
C. 1//125
D. 25

Explanation

To solve the problem, we need to analyze the situation involving two bodies during a perfectly elastic collision. We will use the principles of conservation of momentum and the equations governing elastic collisions.

### Step-by-Step Solution:

1. **Define the Variables:**
- Let the mass of the moving body be \( m_1 \).
- Let the mass of the stationary body be \( m_2 \).
- Let the initial velocity of the moving body be \( u \).
...