An object with a specific mass will weigh ______.

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 3)
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  1. zero on the Earth
  2. less on the Earth than on the Moon
  3. more on the Earth than on the Moon
  4. equal on the Earth and the moon

Answer (Detailed Solution Below)

Option 3 : more on the Earth than on the Moon
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Detailed Solution

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Concept:

Weight:

  • It is the measure of the force of gravity acting on a body.
  • Formula: Weight, W = mg, where m = mass, a = acceleration
  • So it can be said that the weight of an object is directly proportional to its mass.
  • As weight is a force its SI unit is also the same as that of force, SI unit of weight is Newton (N).

Acceleration due to gravity:

  • It is the acceleration gained by an object due to gravitational force.
  • Its SI unit is m/s2.
  • It has both magnitude and direction, hence, it’s a vector quantity.
  • Acceleration due to gravity is represented by g.
  • The standard value of g on the surface of the earth at sea level is 9.8 m/s2.
  • The acceleration on the moon is one-sixth of the acceleration due to gravity on the earth.

Explanation:

Weight, W = mg

On the moon, g' = g/6, where, g = acceleration due to gravity on the surface of earth.

  • Hence, the weight is directly proportional to the acceleration due to gravity.
  • The acceleration due to gravity on the moon is less as compared to the surface of earth.
  • Therefore, the weight on the surface of earth is more than that on the moon's surface.
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