Recent content by FallingMan

Homework Statement Evaluate the following integral with a change of variable of your choice. \int_0^{1} \int_y^{y+2} \sqrt{(x-y)}dxdy The Attempt at a Solution I'm supposed to choose a u and v that will simplify the integral, but I have no idea how to even start this. I tried...

Panphobia and Haruspex, Thank you for your clear explanation. I was looking at the block as it was contacting the spring, which was overcomplicating my problem. It seems it is much simpler to look at the problem when the kinetic energy is zero in both scenarios, namely at the very top and at...

Homework Statement A 700 g block is released from rest at height h0 above a ver- tical spring with spring constant k = 400 N/m and negligible mass. The block sticks to the spring and momentarily stops after com- pressing the spring 19.0 cm. What is the value of h0? Homework Equations W =...

I see. I should integrate the velocity equation with respect to t, not theta. v(t) = <150cos(θ), 150sin(θ)-32t> Then: p(t) = <150tcos(θ), 150tsin(θ) - 16t^2> However, setting the equation equal to <390, 40> doesn't really seem to make sense because I have both theta and t. Do I need to get...

This makes me even more confused. I will have to somehow switch my variables from t to theta?

Homework Statement A golfer stands 390 ft (130 yards) horizontally from the hole and 40 feet below the hole. Assuming the ball is hit with an initial speed of 150 ft/s, at what angle should it be hit to land in the hole? Assume the path of the ball lies in a plane Homework Equations Force of...

Yes, I understand the equation for the cross product and the right hand rule. People keep using this example with a wrench twisting a bolt and the right hand rule makes sense there. Okay fine, the force is perpendicular in that case... But suppose there is no bolt grooves. The bolt...

I had to wrestle with my instinct that told me I'm not allowed to do that.. I guess I stand corrected. Thanks a lot, HallsofIvy.

Homework Statement Ʃ(-1/2)^k from 0 to infinity. Homework Equations Ʃ(-1)^k*B_n from 0 to infinity where if the series converges 1. lim of B_n as n goes to infinity must = 0 2. B_n must be decreasing The Attempt at a Solution It doesn't look like there is a B_n in the original equation...

Hi Pranav-Arora. I'll try... -55 * integral (25cos^2(θ))(sin(θ)/(25(sin^2(θ))^(3/2) Not sure how to proceed from there. I got to go to classes now, but I'll be back to think more about the problem shortly. I appreciate your help.

Homework Statement Integral (11x^2)/(25-x^2)^(3/2) dx from 0 to (5*sqrt(3))/2 Homework Equations sin^2(θ) = 1 - cos^2(θ) The Attempt at a Solution 1. Factor out 11 from integral for simplicity. 11 * integral (x^2)/(25-x^2)^(3/2) 2. Re-write denominator of integral to...

Hi, Not sure if this is the right place to post this but... I understand that D-Wave has a developed an adiabetic quantum computer. Google and Lockheed Martin have both purchased these computers from D-Wave recently. Could such a quantum computer (or perhaps future versions of it with...

Huh, I guess that's what it was! I was adding parenthesis to the top exponent and not the bottom. Damn! Thanks a lot, cp255 and Dick!

Hi, cpi255. It's a computer graded problem. I made sure to add parentheses in my answer when I submitted it to their system. I'm looking at wolframalpha's solution right now, and it seems to be different than the one I have arrived at.

Homework Statement \frac{d}{dx}\, (y = (2x)^{(2x)}) Homework Equations Chain Rule: d/dx (g * x) = g'x + x'g The Attempt at a Solution y = (2x)^{(2x)} 1. Take natural log of both sides. ln(y) = ln(2x)·(2x) 2. Differentiate both sides \frac{dy}{dx}\,·\frac{1}{y}\, =...