Question

una bola de boliche de 7 kg se mueve a 3m/s ¿que tan rapido se debe mover una pelota de pinpong de 2.45g de manera que la bola y la pelota tangan la misma energia cinetica?

Answer 1

The speed of ping pong ball is 160.35 m/s

Step-by-step explanation:

Given that,

Mass of the bowling ball,
`m_1=7\ kg`

Speed of mass 1,
`v_1=3\ m/s`

Mass of ping pong ball,
`m_2=2.45\ g=2.45* 10^(-3)\ kg`

The kinetic energy of a body is given by:

`K=(1)/(2)mv^2`

According to given condition, the two balls have the same kinetic energy

`K_1=K_2`

`(1)/(2)m_1v_1^2=(1)/(2)m_2v_2^2`

`m_1v_1^2=m_2v_2^2`

`v_2` is the speed of ping pong ball

`v_2=\sqrt{(m_1v_1^2)/(m_2)}`

`v_2=\sqrt{(7* (3)^2)/(2.45* 10^(-3))}`

`v_2=160.35\ m/s`

So, the speed of ping pong ball is 160.35 m/s. Hence, this is the required solution.