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### Two particles A and B, move with constant velocities V₁ and V₂. At the initial

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

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

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

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.

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

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

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

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

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

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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