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0 votes
1 answer
86 views

Is the product between proportionality constant and vector defined?

$$ \delta {U} = - \int F \cdot ds = -k \int s \cdot ds = -1/2 ks^2 \tag{i}$$ In ($i$) is there is a dot product between spring constant $k$ and deviation $s$? Correct me if I am ...
Swayam Swastik's user avatar
0 votes
3 answers
499 views

How do I get the negative sign in the expression for Gravitational Potential Energy?

From universal law of gravitation, gravitational force exerted on a body of mass m by another body of mass M is $$ \mathbf F = \frac{GMm}{x^2} $$ where x is the distance between the ...
Hermoine Granger's user avatar
-1 votes
2 answers
91 views

Problem with derivation of potential enery of two body in Gravitational energy

Maybe what I'm going to ask sounds stupid but it means a lot to me that's why I'm asking. I've problem with just a single step in derivation. Let's start. I'm keeping in mind the direction of each ...
Brett Leigh's user avatar