The weight of a body of mass 3 kg at a h...

The weight of a body of mass 3 kg at a height of `12.8 xx 10^(6)` m from the surface of the Earth is ______.

`-3.23 xx 10^9 J`

`-3.19 xx 10^6 J`

`-2.5 xx 10^6 J`

`-4.0 xx 10^11 J`

Text Solution

Verified by Experts

The correct Answer is:

Here, mass of the earth `(M)= 6.0 xx10^24 kg,`
Mass of the body (m) = 50 kg and distance `( r) = 6.3 xx 10^9 m` Potential energy,
`U = - (GMm)/( r) = - ((6.7 xx 10^(-11) ) xx (6.0 xx 10^24) xx 50)/(6.3 xx 10^9 ) =3.19 xx 10^6 J`

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The weight of a body of mass 3 kg at the centre of the Earth is _____.

9.75 N

1.46 N

zero

4.36 N

The potential energy os a body of mass 100 kg is circulating in orbit at a height of 600 km above the surface of earth is (Radius of earth 6400 km, mass of earth =6xx10^(24)" kg and G"=2//3xx10^(-10)Nm^(2)//kg^(2))

`-5.16xx10^(9)J`

`-5.50xx10^(9)J`

`-5.70xx10^(9)J`

`-2.95xx10^(9)J`

The difference in PE of an object of mass 10 kg when it is taken from a height of 6400 Km to 12800 Km from the surface of the earth is (M_(E)=6xx10^(24)kg)

`1.045xx10^(8) J`

`1.565xx10^(8)J`

`2.65xx10^(8) J`

`4.5xx10^(8)J`