The escape velocity"v" of the mass "m" from a spherical mass M and redious R can be calculate using a)explain how this equation is the result of application of conservation of energy. b) determine the energy needed to escape from the sun.(Msun=1.99*10^30 kg. Rsun= 6.96*10^8m).c)calculate the escape velocity from the sun. d) if sun expands somehow, mass remaining same, how would the escape velocity change?

A0.580-kg rock is tied to the end of a string and is swung in a circle with a radius of 0.500 meters. the velocity of the rock is 4.50 m/s. what is the centripetal force acting on the rock? 15.5 n 5.22 n 69.8 n 23.5 n

Asled is being held at rest on a slope that makes an angle θ with the horizontal. after the sled is released, it slidesa distance d1 down the slope and then covers the distance d2 alongthe horizontal terrain before stopping. find the coefficient ofkinetic friction μk between the sled and the ground, assumingthat it is constant throughout the trip. find the coefficient of kinetic frictionμk. express your answer in terms of someor all of the variables d1, d2, and θ.

The gun from the crime scene shows tool marks where the serial numbers are ground off. there are also tool marks on the bullets left behind. what information can the tool marks on the bullets and gun provide about the crime? what type of evidence does this information provide, individual or class?