Which one of the quantities below has dimensions equal to ML/T^2?

Click For Summary
SUMMARY

The quantity with dimensions equal to [ML/T²] is identified as option c: mv²/r. This conclusion is derived from the understanding that [ML/T²] represents force, specifically in the context of circular motion. By analyzing the dimensions of each option, it is established that velocity squared (v²) translates to (L/T)², and when divided by radius (r), which has dimensions of length (L), the resulting dimensions confirm the correctness of option c.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Basic knowledge of dimensional analysis
  • Familiarity with circular motion concepts
  • Knowledge of kinematic equations
NEXT STEPS
  • Study the derivation of force in circular motion using F = mv²/r
  • Explore dimensional analysis techniques in physics
  • Learn about kinematic equations and their applications
  • Investigate the relationship between linear and angular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dimensional analysis, as well as educators seeking to clarify concepts related to force and motion.

new^2^physics
Messages
13
Reaction score
0

Homework Statement


Which one of the quantities below has dimensions equal to [ML/T2]?


Homework Equations


a. mv
b. mv2
c. mv2/r
d. mvr
e. mv2/r2


The Attempt at a Solution



I know that ML/T2 is for calculating force for circular motion (I believe)
Therefore after breaking it all down I come to the following conclusions

F = ma
F = m x (v1-v2)/t1-t2
THEREFORE Iam inclined to answer that c is the correct answer, but I am not sure if I am on the correct path, or in left field...
CAN ANYONE HELP ME?
 
Physics news on Phys.org
The answer is C.

Velocity is just L/T. So V2 equals (L/T)2. R = L so one of the L's cancel and you are left with answer C.
 

Similar threads

Find the height of a lamp based on the velocities of projectiles
  • · Replies 40 ·
2
Replies
40
Views
3K
Block on inclinded plane, and falls
  • · Replies 1 ·
Replies
1
Views
2K
Is the Tension in the String Correct?
  • · Replies 3 ·
Replies
3
Views
2K
Rolling on a plank which is resting on friction less surface
  • · Replies 12 ·
Replies
12
Views
3K
Angular Velocity Keeping Strings Taut
  • · Replies 5 ·
Replies
5
Views
16K
Finding the mean net force during a collision
  • · Replies 3 ·
Replies
3
Views
2K
Basics True or False, Momentum Problem
  • · Replies 12 ·
Replies
12
Views
5K
Two Masses Hanging on a Massive Pulley problem
  • · Replies 15 ·
Replies
15
Views
6K
Solving for Motion Information on a elevator and some lights
  • · Replies 5 ·
Replies
5
Views
3K
Ideal gas-thermodynamics, thermal equilibrium
  • · Replies 17 ·
Replies
17
Views
3K