An object has an x-momentum of 8.5 kilogram·meters/second and a y-momentum of 9.8 kilogram·meters/second. What is resultant momentum of the object?

momentum=8.5x+9.8y kg-m/s

resultant magnitude: sqrt(8.5^2+9.8^2)

angle from x towards y: arctan9.8/8.5

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To find the resultant momentum of the object, we can use the Pythagorean theorem, which states that the square of the hypotenuse (in this case, the resultant momentum) is equal to the sum of the squares of the other two sides (the x-momentum and the y-momentum).

Given that the object has an x-momentum of 8.5 kilogram·meters/second and a y-momentum of 9.8 kilogram·meters/second, we can calculate the resultant momentum as follows:

1. Square the x-momentum:
x-momentum^2 = (8.5 kilogram·meters/second)^2

2. Square the y-momentum:
y-momentum^2 = (9.8 kilogram·meters/second)^2

3. Add the squares of the x-momentum and y-momentum together:
Resultant momentum^2 = x-momentum^2 + y-momentum^2

4. Take the square root of the resultant momentum squared to find the actual resultant momentum:
Resultant momentum = √(x-momentum^2 + y-momentum^2)

Substituting the values into these equations, we can find the resultant momentum of the object.