A0.311 kg tennis racket moving 30.3 m/s east makes an elastic collision with a 0.0570 kg ball moving 19.2 m/s west. find the velocity of the tennis ball after the collision.

146.12 m/s (to the right)

Step-by-step explanation:

The Conservation of Linear Momentum principle states that the initial momentum (before the elastic collision) must be equal to the final momentum (after the elastic collision):

(1)

Being:

Where:

is the mass of the racket

is the velocity of the racket before the collision

is the mass of the ball

is the velocity of the ball before the collision

is the velocity of the racket after the collision  (assuming it is at rest after hitting the ball)

is the velocity of the ball the collision

So, we have the following:

 (2)

Finding :

(3)

(4)

Finally:

This is the velocity of the ball after the collision

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

s

step-by-step explanation: