Exams › NEET › Physics

In the figure shown, the magnitude of the change in momentum of the block when it returns to its initial position, if the maximum compression of the spring is $x_0$, is: A. $2kx_0$ B. $kx_0$ C. zero D. none of these

1. 2kx_0
2. kx_0
3. zero
4. none of these

Correct answer: 2kx_0

Solution

At maximum compression, the spring force is $kx_0$. As the block moves back to the initial position, the force acts over the same displacement in the opposite direction, giving an impulse equal to twice the triangular area in the force-displacement graph. Hence the magnitude of change in momentum is $2kx_0$.

Related NEET Physics questions

• Two point masses $m$ and $M$ with $M>m$ are placed at two different positions. Where does the centre of mass of this two-body system lie?
• Two uniform solid spheres A and B have masses $m$ and $2m$ and radii $2a$ and $a$, respectively. They are placed just touching each other. How far is the centre of mass of the system from the centre of sphere A?
• The centre of mass of a system is best described as the point:
• A ball is thrown vertically upward from the surface of the Earth. Considering the Earth-ball as an isolated system (ignoring air), which statement best describes the motion of both during the ball's upward journey?
• Object P has mass $200\,\text{g}$ and velocity $10\,\text{m s}^{-1}$ along the $+x$-direction. Object Q has mass $500\,\text{g}$ and velocity $(3\hat{i}+5\hat{j})\,\text{m s}^{-1}$. What is the speed of their centre of mass?
• Two masses in the ratio $n:1$ are connected by a light inextensible string over a frictionless pulley (Atwood machine). After the system is released from rest, what is the acceleration of the centre of mass of the two-mass system?

⚔️ Practice NEET Physics free + battle 1v1 →