What is momentum? Write its \(SI\) unit. Interpret force in terms of momentum. Represent the following graphically momentum versus mass when velocity is constant.
What is momentum? Write its \(SI\) unit. Interpret force in terms of momentum. Represent the following graphically momentum versus mass when velocity is constant.
Answer
Momentum of an object is the product of it's mass and it's velocity. It is a vector quantity. Momentum\( = \text{mass} × \text{velocity}\) i.e., \(p=\text{mv}\) And the \(SI\) unit of momentum is \(kg\ m\ s^{-1}\) Force \(=\) Rate of change in momentum Graph for momentum vs mass when velocity is constant
A bullet of mass \(20\, g\) is horizontally fired with a horizontal velocity \(150\,ms^{-1}\) from a pistol of mass \(2\, kg\). What is the recoil velocity of the pistol?
The velocity versus time graph of a ball of mass \(50\; g\) rolling on a concrete floor is shown in figure.Calculate the acceleration and frictional force of the floor on the ball.
A boy of mass \(40\ kg\) jumps with a horizontal velocity of \(5\ ms^{-1}\) onto a stationary cart with frictionless wheels. The mass of the cart is \(3\ kg\). What is his velocity as the cart starts moving ? Assume that there is no external unbalanced force working in horizontal direction.
Two balls of the same size of different materials, rubber and iron are kept on the smooth floor of a moving train. The brakes are applied suddenly to stop the train. Will the balls start rolling? If so, in which direction? Will they move with the same speed? Give reasons for your answer.
The velocity-time graph of an object of mass \(m = 50\ g\) is shown in figure. Observe the graph carefully and answer the following questions. Calculate the force on the object in time interval \(0\) to \(3 s\).
Two particles are placed at some distance. If mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will become/remain ( )