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When the speed of a moving object is halved, its ______.
- a)Kinetic energy becomes 1/4 of the original
- b)Kinetic energy becomes 4 times the original
- c)No change in the kinetic energy
- d)Acceleration is doubled
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
When the speed of a moving object is halved, its ______.a)Kinetic ener...
Kinetic energy is given by the formula ½ × m × v2, where m is the mass of the moving object and v is its velocity. Therefore, when speed is halved kinetic energy becomes ¼ of the original.
Eg. m = 2 kg, v1 = 40, v2 = 20(when speed of object is halved)
K.E1 = 0.5 ×2× 40 ×40 = 1600
K.E2 = 0.5 × 2 × 20 × 20 = 400
Most Upvoted Answer
When the speed of a moving object is halved, its ______.a)Kinetic ener...
Explanation:
Halving the Speed of a Moving Object:
When the speed of a moving object is halved, it means that the new speed is half of the original speed. Let the original speed be 'v' and the new speed be 'v/2'.
Relation between Kinetic Energy and Speed:
The kinetic energy of an object is directly proportional to the square of its speed. The formula for kinetic energy (KE) is: KE = 0.5 * m * v^2, where m is the mass of the object and v is its speed.
Effect on Kinetic Energy:
1. When the speed is halved (v/2), the new kinetic energy (KE') can be calculated as: KE' = 0.5 * m * (v/2)^2 = 0.5 * m * (v^2 / 4) = (0.5 * m * v^2) / 4 = KE / 4.
2. Therefore, the kinetic energy becomes 1/4 of the original kinetic energy when the speed of a moving object is halved.
Conclusion:
So, when the speed of a moving object is halved, its kinetic energy becomes 1/4 of the original kinetic energy. This relationship highlights the importance of speed in determining the kinetic energy of an object.
Halving the Speed of a Moving Object:
When the speed of a moving object is halved, it means that the new speed is half of the original speed. Let the original speed be 'v' and the new speed be 'v/2'.
Relation between Kinetic Energy and Speed:
The kinetic energy of an object is directly proportional to the square of its speed. The formula for kinetic energy (KE) is: KE = 0.5 * m * v^2, where m is the mass of the object and v is its speed.
Effect on Kinetic Energy:
1. When the speed is halved (v/2), the new kinetic energy (KE') can be calculated as: KE' = 0.5 * m * (v/2)^2 = 0.5 * m * (v^2 / 4) = (0.5 * m * v^2) / 4 = KE / 4.
2. Therefore, the kinetic energy becomes 1/4 of the original kinetic energy when the speed of a moving object is halved.
Conclusion:
So, when the speed of a moving object is halved, its kinetic energy becomes 1/4 of the original kinetic energy. This relationship highlights the importance of speed in determining the kinetic energy of an object.
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When the speed of a moving object is halved, its ______.a)Kinetic energy becomes 1/4 of the originalb)Kinetic energy becomes 4 times the originalc)No change in the kinetic energyd)Acceleration is doubledCorrect answer is option 'A'. Can you explain this answer?
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