Physics Physics Practice Problems Solutions Library

Dimensional Analysis Solutions Library

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Dimensional Analysis

Q. What are the dimensions of density, which is mass per volume?

Solved • Oct 29, 2018

Dimensional Analysis

Q. The speed v of an object is given by the equation v = At 3 - Bt, where t refers to time.(a) What are the dimensions of A and B?(b) What are the SI ...

Solved • Oct 29, 2018

Dimensional Analysis

Q. Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s2), t the time, and the s...

Solved • Oct 29, 2018

Dimensional Analysis

Q. Which of the following equations are dimensionally correct? (a) vf = vi + ax (b) y = (2 m) cos (kx) where k = 2 m-1

Solved • Oct 29, 2018

Dimensional Analysis

Q. Kinetic energy K has dimensions kg•m2/s2. It can be written in terms of the momentum p and mass m as K = p2/(2m).(a) Determine the proper units for...

Solved • Oct 29, 2018

Dimensional Analysis

Q. Newton’s law of universal gravitation is represented by F = GMm/r 2 where F is the magnitude of the gravitational force exerted by one small object...

Solved • Oct 29, 2018

Dimensional Analysis

Q. The position of a particle moving under uniform acceleration is some function of time and the acceleration. Suppose we write this position as x = k...

Solved • Oct 29, 2018

Dimensional Analysis

Q. (a) Assume the equation x = At3 + Bt describes the motion of a particular object with x having the dimension of length and t having the dimension o...

Solved • Oct 29, 2018

Dimensional Analysis

Q. Answer each question yes or no. Must two quantities have the same dimensions (a) if you are adding them? (b) If you are multiplying them? (c) If yo...

Solved • Oct 29, 2018