Recent content by hsbhsb

Homework Statement Why are the Center of Momentum velocities of masses after a 2D elastic collision anti-parallel? (as in the following diagram) Homework Equations CM_Velocity = (∑m_i*v_i)/(∑m_i) The Attempt at a Solution This is not actually a problem I have to do. I am just looking for a...

I get it! Thank you :)

Yes it is meant to, my mistake for lack of clarity. From now on I will use ##dU## instead of ##du## to represent the derivative of ##U## Does it ##=F+dU/dx##? Ok, I can see why ##ΔU \neq dU## in this case. After all, ##ΔU## represents a real change in potential, not an infinitesimally small...

Homework Statement Where U is potential energy, show that F = -du/dx Homework Equations ΔU = U(x) - U(x_0) $$ΔU = U(x) - U(x_0) = \int_{x_0}^{x}Fdx \qquad (1)$$ The Attempt at a Solution [/B] I am confused why $$\frac{d}{dx}ΔU = \frac{du}{dx} \qquad (2)$$...

Homework Statement Come up with expressions for centripetal acceleration at the top of the small hump and the bottom of the loop. (this is one substep in a larger problem) Homework Equations f = ma The Attempt at a Solution Taking down to be negative, I believe that the f = ma equation at...

Homework Statement Find the arclength of $$r(t) = <{t}^2/2,{t}^3/3>$$ from t=-1 to t=1 Homework Equations I have used this equation for arclength $$\int_{-1}^{1}|{r}'(t)|dt$$ The Attempt at a Solution After integrating (using u substitution) I have the solution...