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8 Gm(2)Gm33(3) 4Gm(4) 2Gm3. Gravitational potential in a region is given byV = -(xyz) J/kg. Find gravitational intensity at(2, 2, 2).(1) (1 + 2+k)N/kg (2) 2(1 + i + k)N/kg(3) 3( + + k) N/kg (4) 4(1 + i + k)N/kg14. If potential at surface of earth is taken as zero,find potential at centre of earth. (Symbols have,usual meanings)GMGM2(1)(2)--yout |
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Answer» Explanation:V=−(x+y+z)J/kg Relation between gravitational intensity G and gravitational potential: G =− ∇ V =−( ∂x ∂ i ^ + ∂y ∂ j ^ + ∂z ∂ k ^ )(−[x+y+z]) = i ^ ∂x ∂ (x+y+z)+ j ^ ∂y ∂ (x+y+z)+ k ^ ∂z ∂ (x+y+z) = i ^ + j ^ + k ^ Therefore the field is CONSTANT everywhere |
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