All Questions
5
questions
-1
votes
2
answers
92
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Infinitesimals meaning in this context
I was solving this rocket propulsion's classic mechanics exercise: M is the instantaneous rocket's mass, and v its velocity. The exhaust gases are ejected with speed 𝑢 relative to the speed 𝑣 of the ...
- 169
-2
votes
1
answer
154
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What is wrong with my approach? What error did I make mathematically? [closed]
A $4$ kg object is moving in one dimension along the x-axis. The linear momentum of the object increases with the position of the object according to the following equation:
$p(x)=6+3x$
At $t = 0$ s ...
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0
votes
1
answer
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How to use Newton's second law to derive conservation of momentum and how to use derive conservation of momentum to derive the second law?
I know if taking the integral of $F=ma$, then I can get $p=mv$.
I'm weak in calculus, so I wondered how to do this exactly.
Is there anything wrong in my logic below?
\begin{align}\int F\left(t\...
- 1
0
votes
1
answer
182
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Linear Momentum/Impulse for a Rigid Body
Problem
Consider a system of $N$ point-masses $m_i$, each travelling at a velocity $\mathbf{v}_i$. Then, the total linear momentum / impulse $\mathbf{p}$ of the system can be calculated as (see Smith,...
- 105
1
vote
3
answers
169
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Integral ambiguity
I'm a bit confused with some notation I encounter in physics calculus. Consider this:
Taken from here.
Integration operates on functions, correct? What does it mean to integrate $\frac{d{\bf p}}{dt} ...
