How can we determine the angle of a resultant vector
1 answer:
The angle of a resultant vector is given by the equation
Explanation:
When we compute the resultant vector starting from 2 (or more) vectord, we add the components along the x- and y- direction of the original vectors, in order to find the component of the resultant vector along the two directions.
Let's call:
the component of the resultant vector along the x-direction
the component of the resultant vector along the y-direction
The magnitude of the resultant vector is then given by Pythagorean's theorem:
While the angle can be found by taking the arctangent of the ratio between the y-component and the x-component, mathematically:
Note that this angle is measured between the resultant vector and the positive direction of the x-axis.
Learn more about vector components:
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Answer:
Explanation:
As the final Kinetic energy is zero or less than initial kinetic energy, the collision must be inelastic.
In Inelastic collision both the bodies must stick together as final velocity is zero for both the bodies.
To conserve the momentum, momentum associated before the collision of first must be equal and opposite to the momentum associated with the second ball.
i.e.