Impulse & Momentum

In a scattering experiment, a particle of mass 2m collides with another particle of mass m, which is initially at rest. Assuming the collision to be perfectly elastic, the maximum angular deviation θ of the heavier particle, as shown in the...

A block of mass $5 \mathrm{~kg}$ moves along the $x$-direction subject to the force $F=(-20 x+10) \mathrm{N}$, with the value of $x$ in metre. At time $t=0 \mathrm{~s}$, it is at rest at position $x=1 \mathrm{~m}$. The position and momentum...

A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height $3 h$ from the ground, as shown in the figure. A spherical ball of mass $m$ is released on the slide from...

A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible string of length L = 1.0 m. It is suspended from a fixed point at height H = 0.9 m above a frictionless horizontal floor. Initially, the bob of the pendulum is lyin...

A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible string of length L = 1.0 m. It is suspended from a fixed point at height H = 0.9 m above a frictionless horizontal floor. Initially, the bob of the pendulum is lyin...

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L above the hinge ...

A particle of mass M = 0.2 kg is initially at rest in the xy-plane at a point (x = \(-\)l, y = \(-\)h), where l = 10 m and h = 1 m. The particle is accelerated at time t = 0 with a constant acceleration a = 10 m/s2 along the positive x-dire...

A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at ...

A particle of mass m is projected from the ground with an initial speed u0 at an angle \(\alpha\) with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which...

A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet
of mass 0.01 kg, traveling with a velocity V m/s in a horizontal
direction, hits the center of the ball. After the collision, the ball and
bullet travel independently. T...

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg
mass reverses its direction and moves with a speed of 2 ms−1. Which of the following statement(s) is (are) correct for the syste...

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are \(v\) and 2\(v\), respectively, as shown in the figure. Between collisions, the particles...

Look at the drawing given in the figure below which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is \(m\). the mass of the ink used to draw ...

If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline is

Two balls, having linear momenta \({\overrightarrow p _1} = p\widehat i\) and \({\overrightarrow p _2} = - p\widehat i\), undergo a collision in free space. There is no external force acting on the balls. Let \({\overrightarrow {p'} _1}\) ...

Statement 1 :
In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Statement 2 :
In an elastic collision, the linear momentum of the system is cons...