A ring of mass 0.3 kg and radius 0.1 m and a solid cylinder of mass 0.4 kg and of the same radius are given the same kinetic energy and released simultaneously on a flat horizontal surface towards a wall which is at the same distance from the ring and the cylinder. The rolling friction in both cases is negligible. which of them will reach the wall first

Explanation

To solve the problem of which object, a ring or a solid cylinder, will reach the wall first when both are given the same kinetic energy, we can follow these steps:

### Step 1: Understand the Kinetic Energy
Both the ring and the cylinder are given the same kinetic energy (E). The kinetic energy for a rolling object is given by the formula:
\[ E = \frac{1}{2} I \omega^2 + \frac{1}{2} mv^2 \]
where \( I \) is the moment of inertia, \( \omega \) is the angular velocity, \( m \) is the mass, and \( v \) is the linear velocity.

### Step 2: Calculate Moment of Inertia
...