Question
Download Solution PDFIf the linear momentum of a moving object gets doubled due to application of a force, then its kinetic energy will
This question was previously asked in
CDS GK Previous Paper 10 (Held On: 8 Nov 2020)
Answer (Detailed Solution Below)
Option 2 : to increase by four times
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UPSC CDS 01/2025 General Knowledge Full Mock Test
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Detailed Solution
Download Solution PDFThe correct answer is to increase by four times.
- The momentum of an object is equal to the product of the mass of the object and its velocity.
Key Points
- Let us display this with p.
- Its vector sign is in the direction of velocity.
- Its SI unit is "kg-meter / second".
- Suppose the mass of the body be represented by 'M' and velocity be represented by 'V'.
- If 'p' denotes the momentum of the body.
- p = MV
- if momentum gets doubled, If no mass was added, the velocity must've doubled.
- i.e. V = 2V
- \(Kinetic\space Energy = \frac{mv^2}{2} = \frac{p^2}{2m} = 4\frac{p^2}{2m}\), where 'p' is the linear momentum of the body.
- Since 'p' becomes doubled, hence the kinetic energy will increase by a factor of 4.
Important Points
- If a body is moving in a horizontal circle then its kinetic energy is the same at all points, but if it is moving in a vertical circle, then the kinetic energy is different at different points.
- Either potential energy is a form of energy that results from an object's position or arrangement of parts. It is stored energy that can become kinetic energy.
- The measurement of potential energy in an object is calculated based on its mass and its height or distance.
- PE = mgh.
where;
m = mass of the body
g = acceleration due to gravity
h = height
Last updated on May 29, 2025
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