A particle moves in the X-Y plane under the influence of a force such that its linear momentum is  siny (kt)] where  and  and constants. The angle between the force and momentum is.

Formula for true force is

A ball of mass 0.2 k_b is thrown vertically up wands by applying a force by hand. If the hand moves 0.2 m while applying the force and the ball goes up to 2m height further, find the magnitude of the force. (Consider g=10ms^-2 )

Let  denote the set of all integers and  defined by is

The letter Z represents set of Integers. We should know definition of different types of functions to solve such questions.

The velocity of a body of mass 20 kg decreases from 20ms^-1 to 5 ms^-1 in a advance of 100 m. Force on the body is

Range of a projectile is and maximum height is . Find the area covered by the path of the projectile and horizontal line.

A geostationary satellite orbits around the earth in a circular orbit of radius 3600 km the time period of a satellite orbiting a few hundred kilometers above the earth's surface (R earth = 6400 km ) will approximately be=...h

A particle is projected with initial speed of and angle of . Find the horizontal displacement when its velocity is perpendicular to initial velocity.

Two bodies of masses m₁ and m^₂ are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual agravitational attraction Their relative velocity of approach at separation distance r between them is

A man crosses a river through shortest distance D as given in the figure. is velocity of water andis velocity of man in still river water. is relative velocity of man w.r.t. river, then find the angle made by swimming man with the shortest distance AB

Graphs velocity → time is given for cars A and B moving in a straight line in same direction. At time t=0 they are moving in the direction from A to B, then.

Graphs of velocity time for two cars A and B moving in a straight line are given in the fig. The area covered by PQRS gives.

An artificial satellite moving in a circular orbit around earth has a total (kinetic + potential energy) E_⁰, its potential energy is

In the above triangle and Find the value of angle .

A body of mass m is taken from earth surface to the height h equal to radius of earth, the, increase in potential energy will be

If the radius of the earth were to shrink by 1% its mass remaing the same, the accelration due, to gravity on the earth's surface would