Answer:
a) The x and y components of the momentum are and
, respectively.
b) The magnitude and direction of its momentum are approximately 14.567 kilogram-meters per second and 306.823º.
Explanation:
a) The vectorial equation of momentum is represented by the following expression:
(1)
Where:
- Vector momentum, measured in kilogram-meters per second.
- Mass of the particle, measured in kilograms.
- Vector velocity, measured in meters per second.
If we know that and
, then the momentum is:
The x and y components of the momentum are and
, respectively.
b) The magnitude and direction of momentum are represented by the following expressions:
(2)
(3)
Where:
- Magnitude of momentum, measured in kilogram-meters per second.
- Direction of momentum, measured in sexagesimal degrees.
If we know that and
, then the magnitude and direction of momentum are, respectively:
The magnitude and direction of its momentum are approximately 14.567 kilogram-meters per second and 306.823º.