Two particles A and B, move with constant velocities V₁ and V₂. At the initial moment their position vectors are r₁ and r₂ respectively. The condition for particles A and B for their collision is […]
The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150mm of mercury. If the intensity of mercury be 13.6 x 10³ kg/m³ and g=10 m/s² […]
On a frictionless surface, a block of mass M moving at speed v collides elastically with another block of same mass M which is infinitely at rest. After collision the first block moves at an […]
A ball is thrown vertically downwards from a height of 20 m with an initially velocity v₀. It collides with the ground, loses 50 percent of its energy in collision and rebunds to the same […]
Two similar springs P and Q have spring constants Kp and Kq, such that Kp>Kq. They are stretched, first by the same amount (case a,) then by the same force (case b). The work done […]
A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v). The total […]
A cricket ball of mass 250 g collides with a bat with velocity 10 m/s and returns with same velocity within 0.01 seconds. The force acted on bat is
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(a) 25 N […]
The potential energy of a 1 kg particle free to move along the x-axis is given by V(x)={x⁴/4-x²/2}J. The total mechanical energy of the particle 2 J. Then, the maximum speed (in m/s) is
The height of the dam, in an hydroelectric power station is 10 m. In order to generate 1 MW of electric power, the mass of water (in Kg) that must fall per second on the […]
A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up is
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