ï»¿ The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of 'g'and 'R'(radius of earth) are 10 m/s2 and 6400km respectively. The required energy for this work will be; from Physics Gravitation Class 11 Manipur Board

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The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of 'g'and 'R'(radius of earth) are 10 m/s2 and 6400km respectively. The required energy for this work will be;

• 6.4 x1011 J

• 6.4 x108 J

• 6.4 x109Â J

• 6.4 x109Â J

D.

6.4 x109Â J

Potential energy on the earth's surface is -mgR while in free space, it is zero. So, to free the spaceship minimum required energy is
E =mgR
Â = 103 x 10 x 6400 x 103 J
Â = 6.4 x 1010 J

Potential energy on the earth's surface is -mgR while in free space, it is zero. So, to free the spaceship minimum required energy is
E =mgR
Â = 103 x 10 x 6400 x 103 J
Â = 6.4 x 1010 J

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The position co-ordinates of two particles of masses m1Â and m2are (x1, y1, z1) and (x2, y2, z2) respectively. Find the coordinates of the centre of mass.

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Let the position coordinates of the centre of mass be (X, Y, Z).

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Â

Comparing the coefficients of Â , we get

Â

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