A 0.311 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 racket after the collision.

Question

contestada

Respuesta :

Matheng Matheng · Answer 1 · 2020-01-19T12:42:53+01:00

Answer:

The velocity of the tennis racket after the collision 14.966 m/s.

Step-by-step explanation:

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

let the following:

m₁ = mass of tennis racket = 0.311 kg

m₂ = mass of the ball = 0.057 kg

u₁ = velocity of tennis racket before collision = 30.3 m/s

u₂ = velocity of the ball before collision = -19.2 m/s

v₁ = velocity of tennis racket after collision

v₂ = velocity of the ball after collision

Right (+) , Left (-)

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

= ( 30.3 * (0.311 - 0.057) - 19.2 * 2 * 0.057 ) / ( 0.311 + 0.057)

= 14.966 m/s.

So, the velocity of the tennis racket after the collision 14.966 m/s.

abidemiokin abidemiokin · Answer 2 · 2022-01-20T09:59:30+01:00

The velocity of the tennis racket after the collision is 28.58m/s

According to the law of collision, the momentum before collision is equal to the sum of momentum after the collision.

According to the theorem;

Substitute the given masses and velocities to have:

[tex]0.311(30.3)+0.057(19.2) = (0.311+0.057)v\\9.4233+1.0944=0.368v\\v =\frac{10.5177}{0.368}\\v =28.58m/s[/tex]

Hence the velocity of the tennis racket after the collision is 28.58m/s

learn more on collision here: https://brainly.com/question/7538238