Question

the weight of abody of centain mass becomes zero in space

Answer 1

Answer:

Because the weight is the product of mass and gravitational accelaration I. e. mg .

In space g is zero so weight is zero.

Thanks for asking

Answer 2

Answer:

In space we feel weightlessness because the earth's gravity has less effect on us.  Although the Earth's gravity has a lesser effect on an astronaut orbiting the Earth in a spaceship than on a person on the surface of the Earth, this is not the reason why an astronaut experiences weightlessness.

Hope it helps :)