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InterviewSolution
| 1. |
Show that the weight of the earth is 6 times greater than weight of the moon |
| Answer» The weight of an object on the moon will be about one-sixth of what is on the earth. Thus, a spring balance which shows the weight of a body to be 6 N on earth will show a weight of only 1 N when taken to the moon. The weight of an object on the moon is less than that on the earth because the mass and radius of the moon are less than that of earth.Suppose we have an object of mass m. let its weight on the moon be Wm, the mass of the moon is Mm and its radius is Rm. now, according to the universal law of gravitation, the weight of the object on the moon will be:Wm = G x Mm x m/Rm2Let the weight of the same object on the earth be We. The mass of the earth is M and its radius is R.We = G x M x m/R2Wm = G x 7.36 x 1022 kg x m / (1.74 x 106 m)2Wm = 2.431 x 1010 G x m i.We = 1.474 x 1011 G x m ii.Dividing both the equations i. & ii.Wm/We = 1/6Weight of the object on the moon / Weight of the object on the earth = 1/6Weight of the object on the moon = (1/6) × its weight on the earth. | |