Question
Download Solution PDFIf the velocity of a body becomes two times its initial velocity, its kinetic energy becomes n times its initial kinetic energy. What is the value of n?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is Option 2, i.e 4.
CONCEPT:
- Kinetic energy (KE): The energy possessed by a body by virtue of its motion is called kinetic energy.
Where m = mass of the body and v = velocity of the body
CALCULATION:
Let the initial velocity be u and final velocity be v.
According to the given question, velocity becomes two times its initial velocity. This means V = 2u
Initial kinetic energy (KE) = 1/2 mu²
Final kinetic energy (KE') =1/2 mv² =1/2 m(2u)² =1/2 m × 4u² =4 × 1/2 mu²
KE' = 4 × KE, where n = 4
∴ The Kinetic energy becomes 4 times when velocity is doubled.
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