Two satellites A and B move round the earth in the same orbit. The mass of B is twice the mass of A.

Speeds of A and B are equal.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

The potential energy of earth+A is same as that of earth+B.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The kinetic energy of A and B are equal.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The total energy of earth+A is same as that of earth+B.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Speeds of A and B are equal.
Potential enegy $P . E . = \frac{- G M m}{r} (m i s m a s s o f s a t e l l i t e)$
Kinetic energy $K . E . = \frac{G M m}{2 r}$
Total energy $T . E . = \frac{- G M m}{2 r}$ .
Speed $v = \sqrt{\frac{G M}{r}}$ .
Thus velocity is independent of mass of satellite where are potential,kinetic and total energies depend on mass.
So, only option A is correct.

Suggest Corrections

Similar questions

Q. Two satellites A and B move round the earth in the same orbit. The mass of B is twice the mass of A.
(a) Speeds of A and B are equal.
(b) The potential energy of earth+A is same as that of earth+B.
(c) The kinetic energy of A and B are equal.
(d) The total energy of earth+A is same as that of earth+B.

Q. Two satellites

A

and

B

, of equal mass, move in the equatorial plane of earth close to the earth's surface. Satellite A moves in the same direction as that of the rotation of the earth while satellite

B

moves in the opposite direction. Determine the ratio of the kinetic energy of

B

to that of

A

in the reference frame fixed to earth.

Q. Two satellites X and Y move round the earth in the same orbit. The mass of B is twice that of A. Then

A satellite of mass 1000 kg is suposed to orbit the earth at a height of 2000 km above the earth 's surface. Find (a) its speed in the orbit, (b) its kinetic energy, (c) the potential energy of the earth - satellite system and (d) its time period. Mass of the earth $= 6 \times 10^{24}$ kg.

Q. Two satellites A and B of equal mass move in the equatorial plane of the earth, close to earth's surface. Satellite A moves in the same direction as that of the rotation of the earth while satellite B moves in the opposite direction. Calculate the ratio of the kinetic energy of B to that of A in the reference frame fixed to the earth. (

g = 9.8 m s^{- 2}

and radius of the earth

= 6.37 \times 10^{6}

km).

Join BYJU'S Learning Program