Answer:
Ender's mass = 2.25 kg
Explanation:
using law of conservation of momentum .
since there is inelastic collision
given.

Answer:
the third piece landed
meters in a direction 45 degrees from the observer's right towards the front
Explanation:
Due to conservation of momentum, the momentum of the third piece must add to the other two momenta in vector from to render zero (initial momentum of the firework on a plane parallel to ground. Therefore the momentum components of the third piece must have a component to the right equal in magnitude to the momentum of the piece that traveled to the left, and a momentum component pointing to the front of the observer of equal magnitude to that of the piece that traveled behind the observer. Then the direction of the third momentum must be at 45 degrees from the observer's right towards the observer's front.
Also, the magnitude of a momentum vector of such components, is given by the Pythagorean theorem. Recall also that the magnitudes of the momentum vectors of the first two pieces must be equal since they traveled equal distances.

Then the distance traveled by the third piece must also keep this proportionality:

We will apply the concepts related to energy conservation to develop this problem. In this way we will consider the distances and the given speed to calculate the final speed on the path from the sun. Assuming that the values exposed when saying 'multiply' is scientific notation we have the following,



The difference of the initial and final energy will be equivalent to the work done in the system, therefore



Here,
m = Mass
= Final velocity
G = Gravitational Universal Constant
M = Mass of the Sun
m = Mass of the comet
= Initial Velocity
Rearranging to find the final velocity,

Replacing with our values we have finally,


Therefore the speed is 75653m/s