When the speed of object is halved and the mass is quadrupled then the kinetic energy is:
Correct answer: D. Remain same
- A. Quartered
- B. One third
- C. Twice
- D. Remain same
Explanation
Option d) Remain same is the correct option. When the speed of an object is halved and the mass is quadrupled, the kinetic energy remains the same. The kinetic energy of an object is given by the formula KE = (1/2) * m * v^2, where m is the mass and v is the speed of the object. When the speed is halved, the new kinetic energy becomes (1/2) * m * (v/2)^2 = (1/2) * m * (v^2/4). Simultaneously, if the mass is quadrupled, the new kinetic energy becomes (1/2) * (4m) * (v^2/4) = (1/2) * m * v^2. As we can see, the new kinetic energy is the same as the original kinetic energy, indicating that it remains unchanged.In conclusion, when the speed of an object is halved and the mass is quadrupled, the kinetic energy remains the same (option d).
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About Kinetic Energy
Kinetic energy is the energy of motion, given for a nonrelativistic object by K = ½mv², so it depends on mass and the square of speed. Questions connect kinetic energy with work through the work energy theorem, calculate changes in kinetic energy, and distinguish it from momentum and potential energy.
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