Question

A rocket of mass m traveling with speed V0 along the x axis suddenly shoots out fuel equal to one-third its mass, perpendicular to the x axis (along the y axis) with speed 2V0 Express the final velocity of the rocket in notation.

Answer 1

Answer:

A rocket of mass m traveling with speed v0 along the x axis suddenly shoots out fuel, equal to one-third of its mass, parallel to the y axis (perpendicular to the rocket as seen from the ground) with speed 2v0. Give the components of the final velocity of the rocket.

Step-by-Step Solution:

Solution 63 GP

Step 1 of 3:

In this question, we need to find the final velocity of the rocket

Data given

Mass of rocket

Velocity of rocket along direction

Velocity of rocket along direction

Step 2 of 3:

We shall momentum of the rocket along direction

It is given by

Thus we have velocity of the rocket along direction is