CBSE Class 11-science Answered
32nd sum
Asked by lovemaan5500 | 25 Sep, 2018, 07:00: PM
Expert Answer
Let W∞ be the potential energy of the body at infinity. Let Vf be the speed of the body at infinity.
Total Energy E(∞) = (1/2)×m×Vf2 + W∞ ....................(1)
where m is mass of the body.
If Vi is the initial speed at earth's surface, then total energy at earth's surface E(R) is given as
E(R) = (1/2)×m×Vi2 - G×M×m/R+ W∞ = (1/2)×m×Vi2 - 2×g×R + W∞ .................................(2)
where G is universal gravitational constant, M is mass of earth, R is radius of earth and g = GM/R2 is acceleration due to gravity.
By conservation of energy, E(∞) = E(R) .....................(3)
using eqns.(1), (2) and (3), 
Answered by Thiyagarajan K | 26 Sep, 2018, 06:18: AM
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