If the **speed **of an object is tripled , its kinetic energy will be 9 times the initial value.
What is kinetic energy?
The** kinetic energy** of an object is the energy possessed by the object due to its motion.
K.E = ¹/₂mv²
where;
m is mass of the object
v is speed of the object
When the speed is tripled
K.E = ¹/₂m(3v)²
K.E = 9(¹/₂mv²)
Thus, if the **speed **of an object is tripled , its kinetic energy will be 9 times the initial value.
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If the speed of an object is tripled, its kinetic energy increases by a factor of 9. This is because kinetic energy is proportional to the square of the velocity.
Kinetic energy is given by the formula KE = 0.5 × m × v², where m is the mass of the object and v is its velocity.
From this formula, it's evident that kinetic energy is proportional to the square of the velocity. If the speed of an object is tripled, we substitute v with 3v in the equation:
KE = 0.5 × m × (3v)² = 0.5 × m × 9v² = 9 × (0.5 × m × v²)
This tells that the kinetic energy will increase by a factor of 9. Therefore, tripling the speed of the object will cause its kinetic energy to become nine times greater.
When the speed of an object is tripled, its kinetic energy becomes 9 times greater than its original amount. This relationship is due to the kinetic energy formula, which involves the square of the speed. Therefore, tripling the speed results in a ninefold increase in kinetic energy.
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