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:
[tex]\vec p = p_x\mathbf{i}+p_y\mathbf{j}[/tex]
The magnitude of the momentum is:
[tex]\mid \mid \vec p \mid \mid =\sqrt{p_x^2+p_y^2}[/tex]
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:
[tex]\mid \mid \vec p \mid \mid =\sqrt{8.5^2+9.8^2}[/tex]
[tex]\mid \mid \vec p \mid \mid =\sqrt{72.25+96.04}[/tex]
[tex]\mid \mid \vec p \mid \mid =\sqrt{168.29}[/tex]
[tex]\mid \mid \vec p \mid \mid =12.97[/tex]
The resultant momentum is 12.97 kg.m/s. Choice: c
