Question

An 8-kilogram bowling ball is rolling in a straight line toward you. If its momentum is 16 kg*m/s, how fast is it traveling?

Answer 1

$\color{darkblue}\underline{\underline{\sf Given-}}$

• Mass of ball (m) = 8kg
• Momentum of ball (p) = 16 kg.m/s

$\color{darkblue}\underline{\underline{\sf To \; Find-}}$

• How fast it is travelling (v).

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$\color{green}\underline{\underline{\sf Formula \: Used-}}$

$\Large\color{violet}\blacksquare\underline{\boxed{\sf \overrightarrow{p}=m\overrightarrow{v}}}$

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$\Large\color{red}\underline{\underline{\sf Momentum-}}$

The total quantity of motion possessed by a moving body is known as the momentum of the body. It is the product of the mass and velocity of a body.

$\implies{\sf \overrightarrow{p}=m\overrightarrow{v} }$

$\implies{\sf 16=8v }$

$\implies{\sf v =\dfrac{16}{8}}$

$\implies{\sf v =2\:m/s}$

$\color{darkblue}\underline{\underline{\sf Answer-}}$

Body is travelling with velocity $\color{red}{\sf 2m/s}$

Answer 2

$\mathtt{\huge{ \fbox{Solution :)}}}$

Given ,

• Mass (m) = 8 kg
• Momentum (p) = 16 kg•m/s

We know that ,

The product of mass and velocity is called momentum

$\large \mathtt{\fbox{Momentum \: (p) =mass \times velocity }}$

Thus ,

16 = 8 × velocity

velocity = 16/8

velocity = 2 m/s

Hence , the velocity of ball is 2 m/s

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