A metallic chain of length 62.8 cm and whose ends are joined together is fitted on a wooden disc. The disc rotates with 60 revolutions per second. Find the tension in the chain if the chain has a mass 40 g (1 kg f = 9.8 N)
A uniform disc of radius R lies in the x-y plane, with its centre at the origin, its moment of inertia about z-axis is equal to its moment of inertia about line y = x + c. The value of c will be
A metal ball \[{{B}_{1}}\] \[\left( density\text{ }3.2\text{ }g\text{ }c{{m}^{-3}} \right)\] is dropped in water while another metal ball \[{{B}_{2}}\] (density 6.0 g\[c{{m}^{-3}}\]) is dropped in a liquid of density\[1.6\,\,g\,\,c{{m}^{-3}}\]. If both the balls have the same diameter and attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is
A 1 kg block collides with a horizontal spring of force constant \[2\text{ }N{{m}^{-1}}\]. The block compresses the spring 4 m from the rest position of the spring. If the coefficient of friction is 0.25 between the block and floor, what is the speed of block at the instant of collision? (Take \[g=10\text{ }m\text{ }{{s}^{-2}}\])
A block is placed on a rough horizontal plane. A time dependent horizontal force F=Kt acts on the block. Here K is a positive constant. Acceleration-time graph of the block is
A uniform rod AB of mass m is hinged to a wall at its lower end, while its upper end is held by a rope attached to the wall. For what value of \[\theta \], the tension in the rope is equal to mg/2?
A body of mass 1.0 kg strikes elastically with another body at rest and continues to move in the same direction with one-fourth of its initial velocity. The mass of the other body is
Three particles of equal mass m are situated at the vertices of an equilateral triangle of side l. What should be the velocity of each particle, so that they move on a circular path without changing l?
A train approaching a railway crossing at a speed of 120 km/h sounds a whistle at frequency 640 Hz when it is 300 m away from the crossing. The speed of sound in air is 340 m/s. What will be the frequency heard by a person standing on a road perpendicular to the track through the crossing at a distance of 400 m from the crossing?
Statement-1: The change in kinetic energy of a particle is equal to the work done on it by the net force. Statement-2: Change in kinetic energy is equal to the work done only in case of a system of one particle.
A)
Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.
doneclear
B)
Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.
An empty balloon weighs 1 g. The balloon is filled with water to the neck and tied with a massless thread. The weight of balloon along with water is 101 g. The balloon filled with water weighted when fully immersed. Then its weight in water is