System of Parti...

A metallic sphere having mass $$2 \,kg$$ is moving with a velocity of $$10 \,m /s.$$ The momentum of the sphere in kg metre / sec. will be-

In kinetic theory of gases , a molecule of mass $$m$$ of an ideal gas collides with a wall of  vessel with velocity $$V$$. The change in the linear momentum of the molecule is 

The total momentum of the molecules of $$1\,gm\, mol $$of a gas in a container at rest of $$300\,K $$ is 

A $$57.0-g$$ tennis ball is traveling straight at a player at $$21.0\ m/s$$. The player volleys the ball straight back at $$25.0\ m/s$$. If the ball remains in contact with the racket for $$0.060\ 0\ s$$, what average force acts on the ball?

Three identical thin rods each of mass $$m$$ and length $$L$$ are joined together to form an equilateral triangular frame. The moment of inertia of frame about an axis perpendicular to the plane of frame and passing through a corner is:

A uniform sheet each of thickness 10 units is
cut into the shape as shown. Compute then x
and y-coordinates of the centre of mass of the
piece from point A.

In the system shown, a force of $$100$$ N is applied at the end shown. What is the magnitude $$\tau $$ (in N-m) of the torque which was produced on the drum for starting motion? (Given that the coefficient of static friction is $$0.1$$)

A car (open at the top) of mass 9.75 kg is coasting along a level track at 1.36 m/s, when it begins to rain hard. The raindrops fall vertically with respect to the ground. When it has collected 0.5 kg of rain, the speed of the car is

Two particles A and B are revolving with constant angular velocity on two concentric circles of radius $$1  m$$ and $$2  m$$ respectively as shown in figure. The positions of the particles at $$t = 0$$ are shown in figure. If $$m_{A} = 2  kg$$, $$m_{B} = 1  kg$$ and $$P_{A}$$ and $$P_{B}$$  are linear momentum of the particles then what is the maximum value of $$\left |P_{A} + P_{B}  \right |$$ in $$kgm/s$$ in subsequent motion of the two particles.

An automobile is started from rest with one of its doors initially at right angles. lf the hinges of the door are toward the front of the car, the door will shut as the automobile picks up speed.  The acceleration a is constant and the centre of mass is at a distance d from the hinges. The time $$T$$ needed for the doors to close is given by: