Hey There!
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Answer:
[tex]\huge\boxed{\text{Marble D}}[/tex]
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Kinetic Energy:
The energy possessed by the object due to its motion.
[tex]\texttt{K.E} = \frac{1}{2}\texttt{m}V^2\\\\\texttt{Where,}\\\\\texttt{m is mass}\\\\\texttt{V is speed}[/tex]
[tex]\texttt{K.E = \frac{1}{2}mV^2}[/tex]
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Question:
The kinetic energy of the body depends on the mass and velocity. As the question says the velocity of all the marbles is same thus only masses depends the kinetic energy of the marbles. The mass of Marble D is the more than the other marbles thus it will have the most Kinetic Energy.
Lets consider all the marbles have the same speed that is 5 m/s
[tex]\text{Kinetic Energy of Marble A}\\\\\texttt{K.E} = \frac{1}{2}\texttt{x1x}5^2\\\\\texttt{K.E} = 12.5 \ J[/tex]
[tex]\text{Kinetic Energy of the Marble D}\\\\\texttt{K.E} = \frac{1}{2}\texttt{x 2.5 x} \ 5^2\\\\\texttt{K.E} = 31.25 J[/tex]
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Best Regards,
'Borz'
