Recent content by klopez

Homework Statement Show that the function is not differentiable at (0,0). f(x,y) = [ (xy)/(x2 + y2)(1/2) if (x,y) =/ (0,0) [ 0 if (x,y) = (0,0) The Attempt at a Solution I...

Two spheres are released from rest when the distance between their centers is 12R. Sphere 1 has mass M and radii R while sphere 2 has mass 2M and radii 3R. How fast will each sphere be moving when they collide? Assume that the two spheres interact only with each other. (Use G for gravitational...

A plane is diving toward the ground and then climbs back upwards as shown below. A lift force acts perpendicular to the plane's displacement, s = 1.7 x 10^{3} m, which should be taken to be the same for each case. The engines of the plane exert a thrust as shown which has the same magnitude...

Here is how I found the correct answer: First, break down force P into two components: Px and Py Second, consider the center of mass to be your axis point. Third, derive an equation for the the net forces in y-components, \sumFy, and let that equal to 0. Py + n - Fg = 0 (1)...

[SOLVED] Forces, Acceleration...Hard Stuff (HELP!) A trailer with loaded weight Fg is being pulled by a vehicle with a force P. The trailer is loaded such that its center of mass is located as shown. Neglect the force of rolling friction and let a represent the x component of the...

Can anyone confirm my answer above?

Tell me if this makes sense... Conservation of angular momentum Li = Lf wi = omega_i wf = omega_fLi = I*wi Lf = I/2 * wf 2wi = wf Now in terms of kinetic energy Ki = (1/2)I*wi^2 Kf = (1/2)*(I/2)*wf^2 (I plug in my wf from above) Kf = (I/4)(4wi^2) Kf = I*wi^2 When I compare both Ki and...

Okay, so I think I should use this equation torque = I*alpha Where alpha(angular acceleration) has to be constant because I is constant and the net torque is constant. So therefore, my answer should be: Angular Position Angular Speed Kinetic Energy Are all non-constant. Is this correct? Can...

An ice skater starts a spin with her arms stretched out to the sides. She balances on the tip of one skate to turn without friction. She then pulls her arms in so that her moment of inertia decreases by a factor of two. In the process of her doing so, what happens to her kinetic energy? -It...

I see, so according to the kinematics of angular properties, if angular position and angular speed is not constant, than that means that the angular acceleration is not constant either. The moment of inertia depends on Mass and distance from the axis, so since those are constants, the moment of...

A constant nonzero net torque is exerted on an object. Which of the following can not be constant? Choose all that apply. -angular position -angular velocity -angular acceleration -location of center of mass -moment of inertia -kinetic energy My guess is...

Oh okay I see how I got the final kinetic energy wrong. I did only use I. I fixed it, and now its: Kf = (1/2)(m + M)v^2 Can anyone confirm this? And if that's correct, how do I find the fraction?

A thin, uniform, rectangular sign hangs vertically above the door of a shop. The sign is hinged to a stationary horizontal rod along its top edge. The mass of the sign is 2.40 kg and its vertical dimension is 45.0 cm. The sign is swinging without friction, becoming a tempting target for children...

1.A wooden block of mass M resting on a frictionless, horizontal surface is attached to a rigid rod of length and of negligible mass. The rod is pivoted at the other end. A bullet of mass m traveling parallel to the horizontal surface and perpendicular to the rod with speed v hits the block and...

any help here please?