Center of Mass Momentum and Collision

The force $'F'$ acting on a particle of mass $'m'$ is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to $8s$ is:

Point masses $m_{1}$ and $m_{2}$ are placed at the opposite ends of rigid rod of length $\text{L}$, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point $\text{L}$…

A moving block having mass $m,$ collides with another stationary block having mass $4m.$ The lighter block comes to rest after collision. When the initial velocity of the lighter block is $v,$ then the value of…

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R), Assertion (A): When a fire cracker (rocket) explodes in mid air, its fragments fly in such a way that they…

Two objects of mass 10 kg and 20 kg respectively are connected to the two ends of a rigid rod of length 10 m with negligible mass. The distance of the center of mass of the system from the 10 kg mass is:

A frictionless circular wire of unit radius is fixed on the horizontal plane. Two point particles of unit mass start moving simultaneously from point $A\left(\theta=\dfrac{\pi}{2}\right)$ with identical uniform angular…

A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio 2:2:1. If the fragments having equal mass fly off along mutually perpendicular directions with speed v, the speed of the…

The force ‘F' acting on a particle of mass ‘m' is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is:[image]

Three identical spheres, each of mass M, are placed at the corners of a right angle triangle with mutually perpendicular sides equal to 2 m (see figure). Taking the point of intersection of the two mutually…

Two particles of masses $m_{1}$, $m_{2}$ move with initial velocities $u_{1}$ and $u_{2}$. On collision, one of the particles get excited to higher level, after absorbing energy $\epsilon$. If final velocities of…

A rigid ball of mass, m strikes a rigid wall at 60o and gets reflected without any loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be[image]

Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass. The centre of mass of the system from the 5 kg particle is nearly at a distance of: