Question

An astronaught in the satellite feels weighlessness because the force exerted by the satellite floor on the astronaut is equal to zero

Answer 1

Answer:

This problem depends on the principle of conservation of mechanical energy. That means, if an object is moved, the mechanical energy should be constant in every position.

Mechanical energy = Constant

Kinetic Energy + Potential Energy = Constant

(1/2)mv^2 + mgh = Constant

Now we can solve this problem by using above theorem.

As shown in attached diagram we can take 2 positions.

m = mass of the body

h = starting height of the mass reference to the potential energy zero level

u = starting velocity

v = velocity at 2nd position

g = gravitational acceleration

x = falling distance

by using principle of conservation of mechanical energy,

mechanical energy at 1st position = mechanical energy at 2nd position

(1/2)mu^2 + mgh = (1/2)mv^2 + mg(h-x)

0 + mgh = (1/2)mv^2 + mgh - mgx

mgx = (1/2)mv^2

but, lost of potential(gravitational) energy = mgx = U

Therefore U = (1/2)mv^2

mass of the body = m = 2U/(v^2)

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