Recent content by CrazyIvan

The short answer is simply that dA = dxdy Your second equation does not make sense. To use the product rule, you have to differentiate A with respect to either x or y.

Think about an airplane. There are 3 different rotation parameters for that: yaw, pitch, and roll.

The question asks for how much work the force does. The specifics of the force don't matter, the only thing you want to find is how much work that force does. Let U_{0,1} represent the work done by the force taking it from the initial speed to double the initial speed. Let U_{1,2} represent...

From Wikipedia:

I think I got it, but it was tricky. First, try to prove that \frac{1}{p}+\frac{1}{q}=1 can be rearranged to show that p+q=pq Then start to work on rearranging the second inequality, in order to remove the fractions.

Okay, consider the picture below: There is a block of some material placed atop a chunk of ice that prevents the block from falling into the cup. The temperature of the air in the box is much higher than the melting point of ice. We assume the box is well-insulated, so there is no heat...

Yes.

The first one should be simple, as there are only 3 mechanisms of heat transfer, and 2 of them require physical contact between bodies. What work have you done to solve the other two parts?

I believe that the convention is that A -> B -> C -> D -> A will traverse the parallelogram. So C is connected by lines to point D and point B. Hopefully that helps

If it were in equilibrium, then all forces would be equal, so there would be no acceleration. So you have to make the assumption that v_{i} = v_{f} Then, KE_{i} + PE_{i} + F_{fric} \cdot d = KE_{f} + PE_{f} Reduces to PE_{i} + F_{fric} \cdot d = PE_{f} Taking the bottom of the ramp to be...

Wait, now I'm confused. What exactly are you trying to find?

What is the acceleration of the box? You need to know that before you can find the coefficient of friction.

For part A: By definition, mass = \lambda \cdot length Since linear density isn't constant, you will need to integrate. But first you need an expression for how the mass of an infinitesimal length of the rod. Can you figure out what this is? After you have an expression for how dm relates...

I didn't check the numbers, but your method seems correct.

There are 3 objects under consideration: The student, the physics book, and the biology book. Start by considering the law of conservation of momentum. What is the combined momentum of all three before and after the collision? What is the momentum of each individual object before and after...