Recent content by mhz

Homework Statement Two particles in a high-energy accelerator experiment are approaching each other head-on, each with a speed of 0.9500c as measured in the laboratory. What is the magnitude of the velocity of one particle relative to the other? Homework Equations...

Yes that's right

Haha oh man, it is quite challenge studying for my Physics final using the finals and solutions posted by my professors when half the answers are wrong (this has happened for maybe 6 or 7 questions since I've begun studying lol). Anyway that makes perfect sense guys, thanks a lot!

Here is a solution I found: However, why don't they account for energy lost due to friction?

Assuming the ball is moving to the right, I would imagine the friction force is to the left.

- <-----------> + Clockwise = Positive Actually, shouldn't the angular acceleration be positive? As the frictional force applies a positive torque.

To be consistent, considering that frictional force acts in the negative direction, if both were positive the final answer would be negative Also I have lowercase f as frictional force, F as net force

So would this be correct? \tau = I\alpha = -fR \implies \alpha = \frac{-2\mu_kg}{R} \\ -f=ma \implies a = - \mu_k g \\ v = v_0 + at \implies v = at \text{ Since there is no initial velocity} \\ \omega = \omega_o + \alpha t \implies at = r\omega_0 + r\alpha t \implies -\mu_k g t = r...

Homework Statement This isn't a specific question, more of a general one: Suppose there is a cylinder of mass m that is rotating in the positive clockwise direction with initial rotational velocity \omega_0, and radius R. Then, suppose this rotating cylinder is placed on a surface with...

That is the contrapositive, not the converse. Converse of "if A then B" is "if B then A", the contrapositive is "if not B then not A". Since A in this case is "if 32 doesn't divide (a^2 +3) (a^2 +7)" and B is "a is even". The converse would be "if a is even then 32 doesn't divide (a^2 +3) (a^2...

Right, but I'm trying to prove that in a sort of fashion that I've already shown (long-winded and specifically showing each step, trying not to assume much). What you're arguing is something like: Suppose a is even. Then a^2 is even, so both a^2+3 and a^2+7 are odd. Since 32 is even, 32 \nmid...

Homework Statement Proof that if 32 -|- ((a^2+3)(a^2+7)) if a is even. (note: -|- means NOT divides) The question asks for a proof of this statement. Homework Equations If a | b, then there exists an integer k such that b = ka. The Attempt at a Solution If the contrapositive of the...

Hey guys, I'm really struggling to decide which of these two offers I should accept. 1) Computer Science 2) Mathematics/Financial Analysis and Risk Management I don't want to give a lot of details on my current stance on the decision as I've found that it tends to get me answers such as "go...

But what about accounting for errors? For example, three bags weight 5, 10, and 14. We could say the mass of one object is 4 (smallest difference) or 1 (gcd). However they are both wrong, it should be 5.

Anyone have an answer to this?