Physics 2 Ch13 Problems, Lecture notes of Physics

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Physics 2

Chapter 13 problems

Prepared by Vince Zaccone For Campus Learning

An 8kg point mass and a 15kg point mass are held in place 50cm apart. A particle of mass m is released from a point between the two masses 20cm from the 8kg mass along the line connecting the two fixed masses. Find the magnitude and direction of the acceleration of the particle. Prepared by Vince Zaccone For Campus Learning

An experiment is performed in deep space with two uniform spheres, one with mass 25kg, and the other with mass 100kg. They have equal radii, r=0.2m. The spheres are released from rest with their centers 40m apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore all gravitational forces other than that between the two spheres. (a) Explain why linear momentum is conserved. (b) When their centers are 20m apart, find (i) the speed of each sphere and (ii) the magnitude of the relative velocity with which one sphere is approaching the other. (c) How far from the initial position of the center of the 25kg sphere do the surfaces of the two spheres collide? Prepared by Vince Zaccone For Campus Learning

Actually, their surfaces will touch before they get there.

Subtract the radius of one of the spheres to get 31.9m

A landing craft with mass 12,500kg is in a circular orbit 5.75x10^5 m above the surface of a planet. The period of the orbit is 5800s. The astronauts in the lander measure the diameter of the planet to be 9.6x10^6 m. The lander sets down at the north pole of the planet. What is the weight of a 85.6kg astronaut as he steps out onto the planet’s surface? Prepared by Vince Zaccone For Campus Learning