An exploding star: A planet of mass m is in a circular orbit about a star of mass M at an initial distance of r. The non-rotating star then explodes and ejects half of its mass radially outward in a symmetric fashion with none of its ejecta hitting the planet. After the star's explosion find the new radius of the planet about the star. I got a response with
mrw^2 = GMm / r^2 ,
w^2 = GM / r^3
but could not figure out how to derive the expression. Is it using Conversation of Energy? I understand the Conservation of Momentum part, just didn't get how to obtain the velocity part. Could you please break down the components/energy equation?

Akg a of 55 m at an of 11 ? . if is at 98 km/h,be ?

A250-n box is at rest on a frictionless horizotal floor. then a person shoves the box with a non-zero force of magnitude p. which statement best describes the relationship betweeen p and the motion of the box after it was shoved? -the box will not move when p< 250n but otherwise will accelerate at a constant rate that is directly proportional to p - the box will begin moving at a speed that is directly proportional to p, then will gradually slow to a halt -the box will move with constant velocity at a speed that is directly proportional to p -box will accelerate across the floor at a constant rate that is directly proportional to p

You are a researcher for a golf club manufacturer. you are given two identical looking cubes of a metal alloy. you are informed that they are made of the exact same material, but one is crystalline, whereas the other is amorphous. it is your job to determine which one is amorphous this one is more stress-resistant and is useful in reinforcing golf clubs. which of the following is the best way to determine which is which? a. determine the density of each cube. the more dense one is the amorphous solid. b. melt both cubes and look for a broader range of melting temperatures. the one that melts over a broader range of temperatures is the amorphous solid. c. determine the density of each cube. the less dense cube is the amorphous solid. d. melt both cubes and measure the range of melting temperatures. the one that melts over a narrower range of temperatures is the amorphous solid.