Spring problem

[on3winyoureyes]

In physics, the energy stored in a stretched spring is determined by the equation E=1/2kx^2, where k is the spring constant, and x represents the distance that the spring has been stretched. If a spring with constant k=.20 Joules/cm^2 is being stretched at the rate if 1.5 cm/sec, how quickly is the energy stored in the spring increasing at the moment that x=8

Is this as simple as finding the derivative and then plugging the rates and x in?

 

[Deleted member 4993]

In physics, the energy stored in a stretched spring is determined by the equation E=1/2kx^2, where k is the spring constant, and x represents the distance that the spring has been stretched. If a spring with constant k=.20 Joules/cm^2 is being stretched at the rate if 1.5 cm/sec, how quickly is the energy stored in the spring increasing at the moment that x=8

Is this as simple as finding the derivative and then plugging the rates and x in?

Yes..

E = 1/2 * k * x²

\(\displaystyle \dfrac{dE}{dt} = ? \)

Watch for those units/dimensions...