Question

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

Answer 1

Answer:

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

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:

$\mid \mid \vec p \mid \mid =\sqrt{p_x^2+p_y^2}$

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:

$\mid \mid \vec p \mid \mid =\sqrt{8.5^2+9.8^2}$

$\mid \mid \vec p \mid \mid =\sqrt{72.25+96.04}$

$\mid \mid \vec p \mid \mid =\sqrt{168.29}$

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

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