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
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 1.6CYU: Check Your Understanding Is the equation v=atdimensionally consistent? One further point thin needs...
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff57dedaa-d4eb-46ea-bc2a-ef3aead52ca3%2F25157af4-ad3c-4692-9a3e-3581fb422f0f%2Ftwm05eu_processed.jpeg&w=3840&q=75)
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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