11Question 1.4: Show that the correct expression v = vo + at is dimensionally correct,where v and vo represent velocities, a is the acceleration and t is a time interval.17Question 1.5: Suppose we are told that the acceleration of a particle moving in a circleof radius r with uniform velocity v, is proportional to some power of r, say r"andsome power of v, say v. How can we determine the powers of r and v?Question 1.6: Show that the expression x = vt +at? is dimensionally correct, where2.x is a coordinate and has units of length, v is velocity, a is acceleration and t is time.Question 1.7: Newton's law of universal gravitation is given byMmF = Gr2Here F is the foree of gravity. M and m are masses, and r is a leneth. Force has units ofkg x m/s².What are the SI units of the proportionality constant G?These questions are very important. Practice iemNotes

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Question 1.4: Show that the correct expressionv = V + at is dimensionally correct, where v and vo represent velocities, a is the acceleration and t is a time interval. Question 1.5: Suppose we are told that the acceleration of a particle moving in a circle and of radius r with uniform velocity v, is proportional to some power of r, say r", some power of v, say v. How can we determine the powers of r and v? Question 1.6: Show that the expression x = vt + at2 is dimensionally correct, where x is a coordinate and has units of length, v is velocity, a is acceleration andt is time. 21 Question 1.7: Newton's law of universal gravitation is given by Mam

Question 1.4: Show that the correct expressionv = V + at is dimensionally correct, where v and vo represent velocities, a is the acceleration and t is a time interval. Question 1.5: Suppose we are told that the acceleration of a particle moving in a circle and of radius r with uniform velocity v, is proportional to some power of r, say r", some power of v, say v. How can we determine the powers of r and v? Question 1.6: Show that the expression x = vt + at2 is dimensionally correct, where x is a coordinate and has units of length, v is velocity, a is acceleration andt is time. 21 Question 1.7: Newton's law of universal gravitation is given by Mam

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Introduction

Section: Chapter Questions

Problem 51AP: (a) One of lire fundamental laws of motion states that the acceleration of an object is directly...

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