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Q7.16: NCERT Physics - Part 1 GRAVITATION 7.16 Solution: Assuming the earth to be a sphere of uniform mass density, how…

Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down to the centre of the earth if it weighed 250 N on the surface?

Step-by-Step Verified Solution

**Answer:** 125 N **Step-by-Step Explanation:** At depth d=R/2d = R/2, acceleration due to gravity:
gd=g(1−dR)=g(1−12)=g2g_d = g\left(1 - \frac{d}{R}\right) = g\left(1 - \frac{1}{2}\right) = \frac{g}{2}
Weight at depth Wd=m×g2=2502=125 NW_d = m \times \frac{g}{2} = \frac{250}{2} = 125 \text{ N}

All Questions in this Chapter

Q7.1 Q7.2 Q7.3 Q7.4 Q7.5 Q7.6 Q7.7 Q7.8 Q7.9 Q7.10 Q7.11 Q7.12 Q7.13 Q7.14 Q7.15 Q7.16 Q7.17 Q7.18 Q7.19 Q7.20 Q7.21

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