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}](https://img.qammunity.org/2021/formulas/physics/high-school/b0m21i025tdqn53ziq4ajdc110swkxun1o.png)
The magnitude of the momentum is:
![\mid \mid \vec p \mid \mid =√(p_x^2+p_y^2)](https://img.qammunity.org/2021/formulas/physics/high-school/ldyju4d1mszlmia16qb9zv9miivivxqje1.png)
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)](https://img.qammunity.org/2021/formulas/physics/high-school/hz3klbxhknvfpm3666z4cuqjm98zc1eoqp.png)
![\mid \mid \vec p \mid \mid =√(72.25+96.04)](https://img.qammunity.org/2021/formulas/physics/high-school/kf03d6qg53pejuaz5msolns52xh64ug7u6.png)
![\mid \mid \vec p \mid \mid =√(168.29)](https://img.qammunity.org/2021/formulas/physics/high-school/5ypepb1p32eyf86y60zve72qit6qucbp0y.png)
![\mid \mid \vec p \mid \mid =12.97](https://img.qammunity.org/2021/formulas/physics/high-school/9zsinkc2n8swozdya0kj8cmod6nu0gxf5x.png)
The resultant momentum is 12.97 kg.m/s. Choice: c