Variables This should be easy -- Matched units on LHS & RHS?

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The discussion focuses on determining the consistency of units in various physics equations involving distance (x), velocity (v), time (t), and acceleration (a). Participants confirm that equations (a), (b), (c), and (f) have consistent units, while (d) and (e) do not. A method for verifying unit consistency involves substituting variables with their respective units and performing the calculations. There is also a reminder about the importance of following homework submission guidelines, including providing a solution attempt. Overall, the conversation emphasizes the need for clarity in demonstrating work when solving physics problems.
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Variable Units
x Meters (m)
v Meters per second (m/s)
t seconds (s)
a Meters per second squared (m/s^2) These variables appear in the following equations, along with a few numbers that have no units. In which of the equations are the units on the left side of the equals sign consistent with the units on the right side?
(a) x = vt
Yes or No?

(b) x = vt + 1/2 at^2
Yes or No?

(c) v = at
Yes or No?

(d) v = at + 1/2 at^3
Yes or No?

(e) v^3 = 2ax^2
Yes or No?

(f) t = square root(2x/a)
Yes or No?" itemprop="text">The following table lists four variables along with their units. Variable Units
x Meters (m)
v Meters per second (m/s)
t seconds (s)
a Meters per second squared (m/s^2) These variables appear in the following equations, along with a few numbers that have no units. In which of the equations are the units on the left side of the equals sign consistent with the units on the right side?
(a) x = vt
Yes or No?

(b) x = vt + 1/2 at^2
Yes or No?

(c) v = at
Yes or No?

(d) v = at + 1/2 at^3
Yes or No?

(e) v^3 = 2ax^2
Yes or No?

(f) t = square root(2x/a)
Yes or No?

A B C F are all yes's right and D and E are no's right? If this is correct can someone try walking me through how to show my work for my answer. I can just see with my eyes what is going to work with past experiences but no way to actually describe why.
 
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Try replacing all the variables with the units associated with it, then carry out the operations. For the first one:
x=vt
m=(m/s)*s
Does that work out?
 
Also, yes.
 
kng1994, you have to use the homework template when posting a homework question and you absolutely have to write an attempt at a solution.
 
DrClaude said:
kng1994, you have to use the homework template when posting a homework question and you absolutely have to write an attempt at a solution.
Seconded. I was tired last night and not paying attention, otherwise I would have (presumably) mentioned that.
While you have answers, those answers are not work.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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