Question

Consider a mass of 100g moving with a speed of 10 m/s. Calculate the magnitude of the
momentum.

Answer 1

Explanation:

$\text{\large\underline{\green{Given:}}}$

Mass (m) = 100 g = 0.1 kg

Speed (v) = 10 m/s

$\text{\large\underline{\red{To\:find:}}}$

Magnitude of momentum (p) = ?

$\text{\large\underline{\purple{Solution:}}}$

Here, a body of mass 0.1 kg is moving with a speed of 10 m/s and we have to calculate the magnitude of momentum of that body.

Let's understand what is momentum first :-

Momentum is defined as the product of mass and the velocity with which a body is moving. It is denoted by 'p'. It's a vector quantity (means it is having both magnitude and direction) since, velocity is a victor quantity. It's SI unit is kg m/s (since it is the product of mass and velocity).

$\sf\blue{momentum(p)\:=\:mv}$

$\implies$ p = 0.1 × 10

$\implies$ p = 1 kg m/s

${\large{\boxed{\sf{\therefore \: Momentum\:of\:body\:is\:1\:kg\:m/s}}}}$

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$\text{\large\underline{\orange{Let's\:know\:more\:!}}}$

• The slope of v-t graph gives the measure of acceleration.
• The area of v-t graph gives the value of displacement covered by an object.
• The speed of a body is the distance covered/time.
• The velocity of a body is the displacement covered/time.

Hope it helped you dear...

Answer 2

$\red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}$

Momentum = 1kgm/s

$\red{\mid{\underline{\overline{\textbf{Explanation}}}\mid}}$

$\bigstar \: \blue{\mid{\underline{\overline{\textbf{Important keywords}}}\mid}}$

Momentum of a body is the the energy stored in its body due to its motion. It is the product of mass and velocity of a body. We can represent it by the expression :-

$\bigstar\orange{\mid{\underline{\overline{\textbf{p = mv}}}\mid}}$

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$\bigstar\blue{\mid{\underline{\overline{\textbf{coming \: to \: question:-}}}\mid}}$

In this question we have been given mass of an object which is moving with a given velocity, momentum of body is energy stored in it. We have to calculate it's momentum.

We know that :

$\bigstar \: p = mv$

Where :

• P = momentum
• m = mass of body
• v = velocity of body

I'm this case :

$\bigstar mass \: of \: body \: = 100g = 0.1kg$

$\bigstar \: velocity \: of \: body = 10m \div s$

Now after inputting the known values in this equation we get :

$\bigstar \: p = 0.1 \times 10 = 1kgm / s$

$\bigstar \: p = 1kgm / s$

Therefore momentum of given body is 1kgm/s.

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BY SCIVIBHANSHU

THANK YOU

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