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
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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11
Question 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.
17
Question 1.5: Suppose we are told that the acceleration of a particle moving in a circle
of radius r with uniform velocity v, is proportional to some power of r, say r"
and
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 +
at? is dimensionally correct, where
2.
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 by
Mm
F = G
r2
Here F is the foree of gravity. M and m are masses, and r is a leneth. Force has units of
kg x m/s².What are the SI units of the proportionality constant G?
These questions are very important. Practice iem
Notes
Transcribed Image Text:11 Question 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. 17 Question 1.5: Suppose we are told that the acceleration of a particle moving in a circle of radius r with uniform velocity v, is proportional to some power of r, say r" and 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 + at? is dimensionally correct, where 2. 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 by Mm F = G r2 Here F is the foree of gravity. M and m are masses, and r is a leneth. Force has units of kg x m/s².What are the SI units of the proportionality constant G? These questions are very important. Practice iem Notes
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