Respuesta :
Answer:
The weight of the bowling ball makes a more significant impact that the ping pong ball so therefore it would take farther to stop the bowling ball
Explanation:
(A) Â The time required to stop the ping pong ball will be less than that of bowling ball.
(B) Â The distance required to stop the bowling ball will be less than that of ping pong ball.
Given data:
The ping pong ball and bowling ball has the same magnitude of linear momentum.
Same amount of force to be applied on each, to stop.
(A)
With same magnitude of stopping force (F) and linear momentum (p), the time required to stop will be dependent on the mass. Since, mass of ping pong ball is less, so it will be easily stopped with less effort. While the bowling ball will take some extra seconds or minutes to acquire the rest state.
In other words, the ping pong ball has less inertia, due to which the time taken to stop the ping pong pall will be less, comparing to bowling ball.
Thus, we can conclude that the time required to stop the ping pong ball will be less than that of bowling ball.
(B)
The inertia is given as,
[tex]I = mr^{2}[/tex],
Here, m is the mass.
And the distance required to stop is given by third rotational equation of motion as,
[tex]\omega_{2}^{2}=\omega_{1}^{2}+2 \alpha \theta\\\\\theta =\dfrac{ \omega_{2}^{2}-\omega_{1}^{2}}{2 \alpha}[/tex]
Here, [tex]\alpha[/tex] is the angular acceleration.
And angular acceleration is directly proportional to the inertia of object. More the inertia, more will be the angular acceleration and less will be distance required to stop.
Since, ping pong ball has less inertia, so its angular acceleration will be less. So, the distance covered by the ping pong ball will be more, compared to bowling ball.
Thus, we can conclude that the distance required to stop the bowling ball will be less than that of ping pong ball.
Learn more about the inertia here:
https://brainly.com/question/22837660
