Oblique Collision

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JEE Main 2020, 2 Sep Shift-II

LEVELJEE Advanced

A particle of mass $m$ is moving along the X-axis with initial velocity $u \hat{i}$ . It collides elastically with a particle of mass $10 m$ at rest and then moves with half its initial kinetic energy (see figure). If $sin θ_{1} = n sin θ_{2}$ , then value of $n$ is ........

JEE Main 2021, 31 Aug Shift-I

LEVELJEE Advanced

A body of mass $M$ moving at speed $v_{0}$ collides elastically with a mass $m$ at rest. After the collision, the two masses move at angles $θ_{1}$ and $θ_{2}$ with respect to the initial direction of motion of the body of mass $M$ . The largest possible value of the ratio $M / m$ , for which the angles $θ_{1}$ and $θ_{2}$ will be equal, is

JEE Main 2020, 8 Jan Shift-I

A body A, of mass $m = 0.1 kg$ has an initial velocity of $3 \hat{i} ms^{- 1}$ . It collides elastically with another body, $B$ of the same mass which has an initial velocity of $5 \hat{j} ms^{- 1}$ . After collision, A moves with a velocity $v = 4 (\hat{i} + \hat{j})$ . The energy of $B$ after collision is written as $\frac{x}{10} J$ . The value of $x$ is ……… .

JEE Main 2020, 2 Sep Shift-I

LEVELJEE Advanced

A particle of mass $m$ with an initial velocity $u \hat{i}$ collides perfectly elastically with a mass $3 m$ at rest. It moves with a velocity $v \hat{j}$ after collision, then $v$ is given by

v = \frac{2}{3} u

v = \frac{1}{6} u

v = \frac{u}{2}

v = \frac{u}{3}

A mass $m$ moves with a velocity $v$ and collides inelastically with another identical mass. After collision, the 1st mass moves with velocity $\frac{v}{3}$ in a direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision.

v

3 v

\frac{2}{3} v

\frac{v}{3}

A particle of mass $m$ moving in the $x$ -direction with speed $2 v$ is hit by another particle of mass $2 m$ moving in the $y$ -direction with speed $v$ . If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to

JEE Main 2021, 24 Feb Shift-I

A ball with a speed of $9 m/s$ collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of $3 0^{\circ}$ with the original direction. The ratio of velocities of the balls after collision is $x : y$ , where $x$ is ........... .

JEE Main 2019, 10 April Shift-I

LEVELJEE Advanced

Two particles of masses $M$ and $2 M$ , moving as shown, with speeds of $10 m/s$ and $5 m/s$ , collide elastically at the origin. After the collision, they move along the indicated directions with speed $v_{1}$ and $v_{2}$ are nearly

6.5 m/s

3.2 m/s

3.2 m/s

6.3 m/s

3.2 m/s

12.6 m/s

6.5 m/s

6.3 m/s

JEE Main 2020, 6 Sep Shift-II

LEVELJEE Advanced

Particle A of mass $m_{1}$ moving with velocity $(3 \hat{i} + \hat{j}) ms^{- 1}$ collides with another particle B of mass $m_{2}$ which is at rest initially. Let $v_{1}$ and $v_{2}$ be the velocities of particles A and B after collision, respectively. If $m_{1} = 2 m_{2}$ and after collision $v_{1} = (\hat{i} + 3 \hat{j}) ms^{- 1}$ , then the angle between $v_{1}$ and $v_{2}$ is

1 5^{\circ}

6 0^{\circ}

- 4 5^{\circ}

10 5^{\circ}

JEE Main 2020, 6 Sep Shift-I

Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a completely inelastic collision and move together thereafter with a final speed which is half of their initial speed. The angle between the initial velocities of the two bodies (in degree) is .............

JEE Advanced 2013

LEVELJEE Advanced

A particle of mass $m$ is projected from the ground with an initial speed $u_{0}$ at an angle $α$ with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed $u_{0}$ . The angle that the composite system makes with the horizontal immediately after the collision is

\frac{π}{4}

\frac{π}{4} + α

\frac{π}{4} - α

\frac{π}{2}

JEE Advanced 1978

A body of mass $m$ moving with a velocity $v$ in the $x$ -direction collides with another body of mass $M$ moving in the $y$ -direction with a velocity $V$ . They coalesce into one body during collision. Find (a) the direction and magnitude of the momentum of the composite body. (b) the fraction of the initial kinetic energy transformed into heat during the collision.

JEE Advanced 2025

LEVELJEE Advanced

In a scattering experiment, a particle of mass $2 m$ 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 figure, in radians is:

π

tan^{- 1} (\frac{1}{2})

\frac{π}{3}

\frac{π}{6}