K is the spring constantBvU said:
If x is d, your very first equation is wrong.David112234 said:
The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. In other words, the net work done on an object will result in a change in its velocity.
The work-energy theorem can be used to analyze the motion of objects and determine the relationships between work, energy, and velocity. It can also be used to calculate the work done by different forces on an object.
The expression for v^2 derived from the work-energy theorem is v^2 = v0^2 + 2ad, where v is final velocity, v0 is initial velocity, a is acceleration, and d is distance.
The work-energy theorem is related to other laws of motion, such as the law of conservation of energy and Newton's second law of motion. It provides a way to understand the relationship between work, energy, and velocity as objects move and interact with forces.
Yes, the work-energy theorem can be applied to all types of motion, including linear, rotational, and oscillatory motion. It can also be applied to systems with multiple objects and complex forces.