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Jhanvi is walking at $1.63m{{s}^{-1}}$. If she is weighing $583N$, what will be the magnitude of her momentum?
$\begin{align}
  & A.951kgm{{s}^{-1}} \\
 & B.68.8kgm{{s}^{-1}} \\
 & C.137kgm{{s}^{-1}} \\
 & D.672kgm{{s}^{-1}} \\
 & E.97kgm{{s}^{-1}} \\
\end{align}$

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Last updated date: 13th Jun 2024
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Answer
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Hint: The weight of a body can be found by taking the product of the mass of the body and the acceleration of the body. The momentum of the body can be found by taking the product of the mass of the body and the velocity of the body. Substitute the value of mass in this from the weight of the body. This will help you in answering this question.

Complete step by step answer:
As we all know, the weight of a body can be found by taking the product of the mass of the body and the acceleration of the body. This can be written as,
$w=mg$
The weight of the body has been mentioned as,
$w=mg=583N$
As we all know, the acceleration due to gravity of the body can be shown as,
$g=9.8m{{s}^{-2}}$
Substituting the values in the equation will give,
$\begin{align}
  & 583=9.8\times m \\
 & \therefore m=\dfrac{583}{9.8}=59.5kg \\
\end{align}$
And also we know that the momentum of the body can be found by taking the product of the mass of the body and the velocity of the body. This can be expressed in an equation which has been given as,
$p=mv$
The velocity has been mentioned in the question as,
$v=1.63m{{s}^{-1}}$
Substituting the values in it will give,
$p=59.5\times 1.63=97kgm{{s}^{-1}}$
Therefore the momentum of the body has been obtained as,
$p=97kgm{{s}^{-1}}$

So, the correct answer is “Option E”.

Note: Momentum is a physical quantity which describes the motion an object is having. Momentum is defined as a measurement of mass in motion. That is how much of the mass is in a particular motion. The momentum has been expressed in a unit mentioned as $kgm{{s}^{-1}}$. When a body is in motion on the move then it has momentum.