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An object has an x-momentum of 8.5 kilogram-meters/second and a -momentum of 9.8 kilogram meters/second. What Is resultänt

momentum of the object?
OA 15.5 kilogram-meters/second
OB. 14.8 kilogram-meters/second
0c 12.97 kilogram-meters/second
OD. 16.8 kilogram-meters/second

User Linkas
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1 Answer

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Answer:

The resultant momentum is 12.97 kg.m/s. Choice: c

Step-by-step explanation:

Momentum

The momentum is a vector that measures the quantity of motion that an object has. It's also known by the term "mass in motion".

As a vector, it can be expressed by its rectangular components:


\vec p = p_x\mathbf{i}+p_y\mathbf{j}

The magnitude of the momentum is:


\mid \mid \vec p \mid \mid =√(p_x^2+p_y^2)

The object described has an x-component of:

px=8.5 Kg.m/s

And a y-component of:

py=9.8 Kg.m/s

Thus, the magnitude of the momentum is:


\mid \mid \vec p \mid \mid =√(8.5^2+9.8^2)


\mid \mid \vec p \mid \mid =√(72.25+96.04)


\mid \mid \vec p \mid \mid =√(168.29)


\mid \mid \vec p \mid \mid =12.97

The resultant momentum is 12.97 kg.m/s. Choice: c

User Avolquez
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