Physics Test 10...

Two blocks with masses m₁ = 1 kg and m₂ = 2 kg are connected by a string and slide down a plane inclined at an angle θ = 45° with the horizontal. The coefficient of sliding friction between m₁ and plane is μ₁ = 0.4 and that between m₂ and plane is μ₂ = 0.4. Calculate the tension in the string.

Find out the potential energy of the force

An engine pumps water of density ρ, through a hose pipe water leaves the hose pipe with a velocity v find the rate at which kinetic energy is imparted to water :-  

(A = area of cross section of pipe)

The force required to keep a body in uniform circular motion is :-

A particle is tied to 20 cm long string. It performs circular motion in vertical plane. What is the angular velocity of string when the tension in the string at the top is zero :-

A ring of mass m and a particle of mass 2m are placed as shown in figure. If the centre of mass of the combination lies at origin, the value of x is :-

The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h, from rest without sliding, is :-

The M.I. of a thin rod of length ℓ about the perpendicular axis through its centre is I. The M.I. of the square structure made by four such rods about a axis perpendicular to the plane and through the centre will be :-

A uniform rod AB of length l and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A is mℓ²/ 3, the initial angular acceleration of the rod will be :-

The escape velocity from a spherical planet is v. The escape velocity corresponding to another planet of twice the radius and half the mean density is :