Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1 m, 2 m, 4 m, 8 m respectively from the origin. The resulting gravitational potential due to this system at the origin will be

• − G

• $- \frac{8}{3} \mathrm{G}$

• $- \frac{4}{3} \mathrm{G}$

• − 4 G

An artificial satellite moves in a circular orbit around the earth. Total energy of the satellite is given by E. The potential energy of the satellite is 

• - 2E

• 2E

• $\frac{2\mathrm{E}}{3}$

• $- \frac{2\mathrm{E}}{3}$

Two particles of mass m₁ and m₂ approach each other due to their mutual gravitational attraction only. Then

• accelerations of both the particles are equal

• acceleration of the particle of mass m₁ is proportional to m₁

• acceleration of the particle of mass m₁ is proportional to m₂

• acceleration of the particle of mass m₁ is inversely proportional to m₁

A satellite has kinetic energy K, potential energy V and total energy E. Which of the following statements is true ?

• K = − V/2

• K = V/2

• E = K/2

• E = − K/2