Gravitational Potential: Practice Problem & Solution
Two masses of 10²kg and 10³ kg are separated by 1 m distance. Find the gravitational potential at the mid point of the line joining them.
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Gravitational Potential. Understanding the underlying formula is key to arriving at the correct answer below:
Gravitational potential \( V \) at the midpoint is the sum of the potentials due to both masses:
\[
V = -\frac{G \cdot 10^2}{0.5} - \frac{G \cdot 10^3}{0.5}
\]
Simplifying:
\[
V = -2G(10^2 + 10^3) = -2G \cdot 1100
\]
So, the gravitational potential at the midpoint is:
\[
V = -2200G
\]
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