Here's why:
* Newton's Third Law: This law states that for every action, there is an equal and opposite reaction. When the objects collide, they exert forces on each other. The force that object A exerts on object B is equal in magnitude and opposite in direction to the force that object B exerts on object A.
* Conservation of Momentum: The total momentum of a closed system (like the two colliding objects) remains constant. Since the objects have equal mass, their velocities will change equally and oppositely during the collision. This change in velocity is directly related to the force applied.
Important Note: While the forces are equal in magnitude, the *effect* of those forces might be different depending on the objects' properties. For example:
* Elastic Collision: If the collision is perfectly elastic (no energy loss), the objects will bounce off each other with the same speed they had before the collision.
* Inelastic Collision: If the collision is inelastic (some energy is lost), the objects will deform or stick together, and their final velocities will be different.
Let me know if you'd like more detail on any aspect!
