The speed of the ping-pong ball must be 97.8 m/s
Explanation:
The kinetic energy of an object is the energy possessed by an object due to its motion. It is calculated as
[tex]E_k = \frac{1}{2}mv^2[/tex]
where
m is the mass of the object
v is its speed
Here we have a bowling ball that has
Mass: m = 7.29 kg
Speed: v = 1.73 m/s
So its kinetic energy is
[tex]E_k = \frac{1}{2}(7.29)(1.73)^2=10.9 J[/tex]
Now we want the ping-pong ball to have the same kinetic energy, so
[tex]E_k = 10.9 J[/tex]
its mass is
[tex]m=2.28 g = 2.28\cdot 10^{-3} kg[/tex]
So, we can find the speed it should have by re-arranging the equation:
[tex]v=\sqrt{\frac{2E_k}{m}}=\sqrt{\frac{2(10.9)}{2.28\cdot 10^{-3}}}=97.8 m/s[/tex]
Learn more about kinetic energy:
brainly.com/question/6536722
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