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Lynna [10]
3 years ago
11

If the mass of a ball B is 1 kilogram and it’s speed is 1 m/sec. the mass and the speed of ball A is three times the mass and sp

eed of ball B. What is the ratio of kinetic energy of ball A to ball B? Hint: dividethe kinetic energy equation for ball A by the kinetic energy equation of ball B.
A.3
B.6
C.9
D.27
Physics
2 answers:
vichka [17]3 years ago
5 0

your answer would be 27.

vekshin13 years ago
4 0

The ratio of kinetic energy of ball A to ball B is 27

Answer: Option D

<u>Explanation: </u>

The kinetic energy of any object is the energy exhibited by the object when it is in motion. The kinetic energy of any object is directly proportional to the mass of the object and square of the speed at which the object is moving. So the kinetic energy of any object can be represented as

                 E_{k}=\frac{1}{2} \times m \times(\text { speed })^{2}

In this case, for ball B the mass is 1 kg and speed is 1 m/s. So the kinetic energy of ball B is

            \text { Kinetic energy for ball } B=\frac{1}{2} \times 1 \times 1^{2}=0.5 J

As it is said that the mass (M) and speed of ball A is three times the mass and speed of ball B.  So ,

         \text { M of ball } A=3 \times M \text { of ball } B=3 \times 1=3 \mathrm{kg}

And,

           \text { Speed of ball } A=3 \times \text { Speed of ball } B=3 \times 1=3 \mathrm{m} / \mathrm{s}

Thus, the kinetic energy of ball A will be

            \text {Kinetic energy for ball } A=\frac{1}{2} \times 3 \times 9=13.5 \mathrm{J}

Now, to determine the ratio of kinetic energy of ball A to ball B,

\text { Ratio of kinetic energy }=\frac{\text {Kinetic energy of Ball } A}{\text {Kinetic energy of Ball } B}=\frac{13.5}{0.5} = 27

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The product of the two masses on the numerator accounts for the fact that the gravitational force is directly proportional to the product of the masses, which is that as the masses increase the attraction also increase.

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There are two factors at play here:

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