A rocket is launched straight up from the surface of earth. When its altitude is one fourth of the radius of earth, its fuel runs out and therefore it coasts. The minimum velocity which the rocket should have when it starts to coast if it is to escape from the gravitational pull of the earth is approximately,
An object attached to a vertical spring is slowly lowered to its equilibrium position, thus stretching the spring by an amount d. Now the same object attached to the vertical spring is allowed to fall. This will stretch the spring by
The driver of a train moving with a constant speed \[{{\text{v}}_{1}}\] along a straight track sights another train at a distance d ahead of him on the same track moving in the same direction with a constant speed \[{{\text{v}}_{2}}\] He at once applies the brakes and gives his train a constant retardation f. There will be a collision of the trains if
Two rings of the same radius and mass are placed such that their centers are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the center and perpendicular to the plane of one of the rings is (mass of the ring = m, and radius = r).
Two particles each of mass m move in opposite direction along Y-axis. One particle moves in positive direction with velocity v while the other particle moves in negative direction with speed 2v. The total angular momentum of the system with respect to origin
A pulley has a light rope running over it, with a 10 N weight on one side and a 20 N weight on the other. Ropes always pull with equal force on each end; this is called tension. If the masses are allowed to fall, what is the tension, T in the rope?
You are given two lenses, a converging lens with focal length +10 cm and a diverging lens with focal length -20 cm. Which of the following would produce a real image that is smaller than the object?
An ideal elastic rubber ball is dropped from a height, about 2 meters, hits the floor and rebounds to its original height. Which of the following graphs would best represent the distance above the floor versus time for the above bouncing ball?
A ball is taken to Mars where the acceleration due to gravity is approximately \[4m{{s}^{-2}}\text{ }\left( 0.4\text{ }{{g}_{e}} \right)\]. It is thrown from ground level with the initial velocity \[{{\text{v}}_{0}}\]in the upward direction. On Mars, it will be in the air for ______ seconds and reach a maximum height ______.
The speed of waves on the surface of the ocean is supposed to depend at most on the density of the water,\[\rho \], the gravitational field strength (or gravitational acceleration), g, and the wavelength of the waves\[\lambda \]. The speed of ocean waves is then expected to be proportional to