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An object having 10 kg mass and weights 5 kg on a planet. The value of g at this planet is:

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ISRO VSSC Technical Assistant Mechanical 8 Feb 2015 Official Paper
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  1. 0.5 m/sec2
  2. 4.9 m/sec2
  3. 10.2 m/sec2
  4. 9.7 m/sec2

Answer (Detailed Solution Below)

Option 1 : 0.5 m/sec2
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Detailed Solution

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Concept:

To determine the value of gravitational acceleration on a planet where an object has a different weight, we need to use the relationship between mass, weight, and gravitational acceleration.

Calculation:

Given:

Mass of the object,

Weight of the object on the planet,

1 kgf (kilogram-force) is the force exerted by gravity on a mass of 1 kg.

Weight is given by the formula:

Calculation:

Rearranging the formula to solve for :

Substitute the given values:

Calculate the value:

The value of on this planet is:

The correct option is:

Option 1:

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