What are the dimensions for a, b, and c?

[NeerajKarthi]

Homework Statement

Equation 1: Find the dimensions of a,b

F = at + bt²
F - force
a - Some unkown value
b - Some unkown value
t - time

In this equation we must find the dimensions of a and b which i did but, in the next similar equation

Equation 2: Find the dimensions of a,b,c

F = at + bt² + cx³
F - force
a - Some unkown value
b - Some unkown value
t - time
c - Some unkown value
x - Unknown

I don't know how to find out dimensions for c as i don't know what is the dimensions for x here.

Homework Equations

F = at + bt²

The Attempt at a Solution

F = MLT^-3

For the 1st equation, i got

a = MLT^-3
b = MLT^-4

For c= ? I don't know how to find.
What is the dimensions for x also?

Thanks in advance

 

[Replusz]

Is that the only information you have?
Maybe x is in meters (x is sometimes used for length). Otherwise I am pretty sure you can't solve it.

 

[NeerajKarthi]

Is that the only information you have?
Maybe x is in meters (x is sometimes used for length). Otherwise I am pretty sure you can't solve it.

Well, thanks a lot. After checking through i guess x might be length. And can you please post the answer so that i can cross check. Thanks

 

[SteamKing]

Well, thanks a lot. After checking through i guess x might be length. And can you please post the answer so that i can cross check. Thanks

That's not how PF works. You're supposed to work out you own answers. Posting worked out solutions for others on the HW forums is a violation of the rules.

 

[David Lewis]

F = MLT-3

[Force] = MLT^-2