Suppose we have a single particle moving in one dimension whose potential energy as a function of x x is u ( x ) u(x). show (using the chain rule and the relationship f ( x ) = − u ′ ( x ) f(x)=−u′(x)) equation (4) (4), conservation of energy, for this system.

What are the applications of electromagnetic waves

Very large accelerations can injure the body, especially if they last for a considerable length of time. one model used to gauge the likelihood of injury is the severity index ( ), defined as =/ . in the expression, is the duration of the accleration, but is not equal to the acceleration. rather, is a dimensionless constant that = the number of multiples of that the acceleration is equal to. in one set of studies of rear-end collisions, a person's velocity increases by 13.7 km/h with an acceleration of 36.0 m/s2 . let the + direction point in the direction the car is traveling. what is the severity index for the collision?

Which one of the following research methods can show cause and effect