right, this is definitely something that comes with experience. You'll notice patterns that will help you choose u. For this example, since you know you will get (something)x^2 when you take the derivative of (something)x^3, you know that the term with the x^3 will want to include u. You...
you're on the right track.
This is a piecewise function, and in order for there to be a derivative at 1, the values for the derivatives AT 1 have to match from both sides...
imagine a graph of the function. you have probably learned that there will not be a derivative if there is a cusp in...
Homework Statement
A water tank is in the shape of a half cylinder sitting on its side (not its top or its bottom). Let the radius be 10 ft and let the side-lenth on the floor be 30 feet. What should be the water height, measured from the floor up, so that the water tank is half full...
Homework Statement
A car encounters an inclined plane
Given- Weight of car in N (6500), velocity on the flat surface (22.5 m/s), power of the engine (78000), incline of the hill (8.1 degrees)
Want to find- velocity on the hill (power and restistive forces remain constant)
Homework Equations...
just a bump to this thread, wanting to verify:
You set the K.E. and the U(spring) equal to each other i.e.
(1/2)mv^2 = (1/2)kx^2
because of the conservation of energy? and this is why you don't need the force?
EDIT: my problem is on a frictionless plane.
Homework Statement
An object is given an initial velocity of 3.0 m/s up a 20 degree incline. Mass= 22.3 kg and coefficient of kinetic friction is .93.Homework Equations
W = (1/2)mv1^2-1/2mv0^2
W = Fdcos(u)The Attempt at a Solution
So I added the forces together, mgsin(20) + .93mgcos(20)...