Understanding the Concepts

* Linear Momentum: The product of an object's mass and velocity (p = mv).

* Kinetic Energy: The energy an object possesses due to its motion (KE = 1/2 mv²).

The Answer

If two particles have the same linear momentum (p) but equal mass (m), they must have the same velocity (v). This is because:

p = mv

Since both particles have the same p and m, their v must be equal.

Therefore, both particles have the same kinetic energy.

Explanation:

Kinetic energy is directly proportional to the square of the velocity. Since both particles have the same velocity, they will have the same kinetic energy.