Physics Test 19...

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 × 10²⁴kg) have to be compressed to be a black hole?

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distances 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

The radius of a planet is twice the radius of earth. Both have almost equal average mass-densities. V_P and V_E are escape velocities of the planet and the earth, respectively, then

The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), is

The total mechanical energy of a spring-mass system in simple harmonic motion is E = 1/2mω²A². Suppose the oscillating particle is replaced by another particle of double the mass while the amplitude A remains the same. The new mechanical energy will

A body describes simple harmonic motion with an amplitude of 5 cm, and a period of 0.2 s. Find the acceleration and velocity of the body when the displacement is 3 cm, and when the displacement is zero.

A particle of mass m oscillates with simple harmonic motion between points x1 and x2, the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph

Two simple harmonic motions of angular frequency 100 and 1000 rad s^–1 have the same displacement amplitude. The ratio of their maximum acceleration is

The displacement of a particle along the x-axis is given by x = asin²ωt. The motion of the particle corresponds to