Here's why:
* Kinetic Energy: The energy of motion is called kinetic energy. It's calculated as:
* KE = 1/2 * mass * velocity²
* Force and Energy: The force of a collision is directly related to the amount of kinetic energy the object has.
* Doubling Speed: When you double the speed, you square the velocity in the kinetic energy formula. So, the kinetic energy increases by a factor of 2².
* Quadrupling Force: Since force is directly related to energy, doubling the speed results in four times the force of the collision.
In simpler terms: Think of it like this: a car going 20 mph hitting a wall has a certain amount of energy. If you double the speed to 40 mph, the car has four times as much energy, leading to a much more forceful impact.
