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Question 9: By how much will the kinetic energy of a body increase if its speed is doubled?

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Answer: Kinetic energy of a body is directly proportional to the square of velocity. So, the kinetic energy will become four times the initial value when velocity is doubled.
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TRANSFORMATION OF ENERGY Enersy exists in many different forms. One form of energy can be changed into another form. The dhange of one form of energy into another form of energy is known as transformation of energy. We will now take some examples to show how the transformation of energy takes place. Suppose a stone is Nill on the roof of a house. In this position, all the energy of the stone is in the form of potential energy. Whent the stone is dropped from the roof, it starts moving downwards towards the ground and the potential menyy of stone starts changing into kinetic energy. As the stone continues falling downwards, its potential (mengy goes on decreasing (because its height goes on decreasing) but its kinetic energy goes on increasing (polatser its velocity goes on increasing). In other words, the potential energy of the stone gradually gets framstormed into kinetic energy. And by the time stone reaches the ground, its potential energy becomes and alled from a height then the potential energy of the body. From this we conclude that when a body is sinetic energy. Figure 47. A ball held at a height has only Figure 48. In this fun-fair ride called Figure 49. A high dive is an putential energy. When the ball is released 'Pirate Ship', kinetic energy is changed example of transferring (or from a height, then the potential energy of into potential energy and back into converting) potential energy of the toe ball is gradually transformed (or kinetic energy (as in a simple pendulum). diver into kinetic energy. (hanged) into kinetic energy. The reverse happens when a piece of stone is thrown upwards. When we throw a piece of stone upwards, the initial kinetic energy of the stone starts changing into potential energy. As the stone moves up, its kinetic energy goes on decreasing (because its velocity goes on decreasing) but its potential energy goes on increasing (because its height goes on increasing). In other words, the kinetic energy of stone gradually gets transformed into potential energy. And when the stone reaches at the highest point of its path, its kinetic energy becomes zero and its potential energy becomes maximum. Thus, at the highest point, the wotal energy of the stone will be in the form of potential energy. From this we conclude that when a body is thrown upwards, the kinetic energy of body is gradually transformed (or changed) into potential energy.
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Question Text
Question 9: By how much will the kinetic energy of a body increase if its speed is doubled?
TopicWork and Energy
SubjectScience
ClassClass 9
Answer TypeText solution:1
Upvotes56