A particle of mass 5 units is moving with a uniform speed of `v = 3 sqrt(2)` units in the XOY plane along the line y = x + 4. Find the magnitude of angular momentum.

A small particle of mass on is projected with an initial velocity v at an angle 8 with x axis in X-Y plane as shown in Figure. Find the angular momentum of the particle.

A particle moves on a straight line with a uniform velocity. It's angular momentum

A circle of area 9 pi square units has two of its diameters along the lines x + y =5 and x-y =1 . Find the equation of the circle.

A particle of mass m moving with velocity v strikes a particle of mass 2m at rest and sticks to it. The speed of the combined mass is