X is twice as massive as Y. X also runs twice faster than Y. Which one among the following is the ratio of kinetic energy of X and Y ?

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Q: 46 (CAPF/2010)
X is twice as massive as Y. X also runs twice faster than Y.
Which one among the following is the ratio of kinetic energy of X and Y ?

question_subject: 

Science

question_exam: 

CAPF

stats: 

0,15,18,7,15,7,4

keywords: 

{'kinetic energy': [0, 0, 4, 7], 'ratio': [1, 0, 1, 12]}

Correct answer: 2

In this question, we are comparing the kinetic energy of two objects, X and Y.

We are given that X is twice as massive as Y. This means that the mass of X is twice the mass of Y.

We are also given that X runs twice as fast as Y. Since kinetic energy is directly proportional to the square of velocity, this means that the velocity of X is squared when calculating kinetic energy.

From these two pieces of information, we can conclude that the kinetic energy of X is given by (2^2) = 4 times the kinetic energy of Y. In other words, the ratio of kinetic energy of X to Y is 4:1.

Therefore, the correct answer is option 3, which states the ratio as 4:1.

Alert - correct answer should be option 3: 4:1.