Recent content by Keldon7

I only possesses a rudimentary understanding of Linear Algebra so I'm not going to be rigorous in my explanation, but is the concept of an infinite basis well defined? More specifically, I was thinking about how the polynomials could form a basis for function space, given that every function has...

I believe the word undefined is well defined.

You were initially correct in your first post, just remember to bring R^3 to the numerator to simplify things.

The energy required is the energy it takes to go from the surface of the asteroid to infinity. So, unless I'm mistaken, you must integrate the force over that distance.

Just solve for q.

The rotational kinetic energy of a hoop is 0.5*(mass of the hoop * radius of the hoop^2)*(velocity / radius of the hoop)^2. After squaring the (velocity / radius) you see the radius^2 is in both the numerator and denominator, so it's gone. So, we know that the rotational kinetic energy of a...

If you're still having trouble, use trig.

Think of what will be equal for both bikers when they meet. Is the distance they've traveled the same? The time perhaps?

d = 0.5(a)(t^2), maybe that will help.

Make a diagram of all the forces acting on the object, then consider which are slowing it down in it's ascent up the ramp. You'll need to use trig.

The question pretty much says everything...

Your average velocity cannot be constant, look at your data, it's increasing linearly.

The angle at which the stone was thrown was given in your initial question.

I would just add them vectorially, were the plane's velocity relative to the ground.. I'm not sure what they mean exactly by relative to the air, considering the vectors are perpendicular.

Try looking at this situation from the reference frame of the truck, who's mass is >> than the balls. Then, knowing that kinetic energy is conserved, you can solve for the resultant velocity of the ball treating the mass of the truck as infinitely large. This will yield a very good approximation.