Two bodies of mass $$m$$ and $$9 m$$ are placed at a distance $$R$$. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ($$G=$$ gravitational constant) :
In the figure shown here, what is the equivalent focal length of the combination of lenses (Assume that all layers are thin) ?
Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is 0.15
$$\left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$$.
A satellite is orbiting just above the surface of the earth with period $$T$$. If $$d$$ is the density of the earth and $$G$$ is the universal constant of gravitation, the quantity $$\frac{3 \pi}{G d}$$ represents :