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In Physics / High School | 2014-02-03

If the speed of an object is tripled, its kinetic energy will be:

Asked by cbell

Answer (3)

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.
Learn more about kinetic energy here: https://brainly.com/question/25959744
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Answered by onyebuchinnaji | 2024-06-15

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.

Answered by AngelinaGermanotta | 2024-06-25

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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Answered by onyebuchinnaji | 2024-10-01