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Question

Which would have a greater effect on the kinetic energy of an object, doubling the mass of an object, or doubling its velocity.


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Solution

  1. The kinetic energy of an object is the energy possessed by it due to its motion.
  2. The kinetic energy of an object of mass m and velocity v can be given as-
    K.E=mv22
  3. Doubling the velocity will increase the kinetic energy of the object four times as kinetic energy is directly proportional to the square of the velocity.
  4. On the other hand, doubling the mass will double the kinetic energy of the object as kinetic energy is directly proportional to the mass of the object.
  5. Hence doubling the velocity would have a greater effect on the kinetic energy of an object,

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