Answer:
The speed and direction of the third fragment are 2 meters per second and 54.316º, respectively.
Explanation:
The object is not under the influence of any external force, meaning that Principle of Momentum Conservation to calculation of the velocity of the third fragment:
(1)
Where:
, , - Masses of the first, second and third fragments, in kilograms.
- Initial velocity of the object, in meters per second.
, , - Velocities of the first, second and third fragments, in meters per second.
If we know that , , , , and , the velocity of the third fragment is:
The speed of the third fragment is the magnitude of the result found above:
And the direction of the third fragment is:
The speed and direction of the third fragment are 2 meters per second and 54.316º, respectively.