Collision Examples I

Q. A shell of mass 200 gm is ejected from a gun ofmass 4 kg by an explosion that generates 1.06of energy. The initial velocity of the shell is\lbrack AIPMT (Prelims)-2008)(1) 120 ms(2) 100 ms-(3) 80 ms(4) 40 mst

Q. A shell of mass 20 kg at rest explodes into twofragments whose masses are in the ratio 2:3.The smaller fragment moves with a velocity of6 m/s The kinetic energy of the larger fragment is96 (D)(2) 216 J(3) 144 J(4) 360 J

Q. 11. A bullet of mass m is moving with speed u hits a stationary wooden block of mass M placed on a smooth surface and gets embedded into it, then the percentage loss of energy during collision is

Q. two bodies of masses M1 and M2 (M1 not equal to M2) moving with initial velocity u1 and u2 (u1>u2) along a straight line in the same direction, suffer perfect head on collision. Find their velocities after the collision

Q. A BODY OF MASS m1 , MOVING WITH A UNIFORM VELOCITY OF 40 m/s COLLIDES WITH ANOTHER MASS m2 AT REST AND THEN THE TWO TOGETHER BEGIN TO MOVE WITH A UNIFORM VELOCITY OF 30m/s .THE RATIO OF THEIR MASSES (m1/m2) is

1. 0.75
2. 1.33
3. 3
4. 4

Q. 11. A bullet of mass m is moving with speed u hits a stationary wooden block of mass M placed on a smooth surface and gets embedded into it, then the percentage loss of energy during collision is

Q. After a totally inelastic collision, two objects of the same masses and same initial speeds are found to move together at half of their initial speeds as shown in figure below. If $\alpha ={30}^{\circ }$, then the angle between the initial velocities of the objects is

1. ${90}^{\circ }$
2. ${60}^{\circ }$
3. ${150}^{\circ }$
4. ${45}^{\circ }$

Q. A body of mass m moves with a velocity v and collides with another mass 2m at rest.After collision the first mass moves with a velocity v+underoot 3 in a direction prependicular to the initial direction of motion.Find the speed of 2nd mass after collision.

Q. A body of mass m moving with velocity 3km/hr collides with a body of mass 2m at rest.Now find the velocity of coalesced mass.

Q. ​Obtain expressions for velocities of the two bodies after head on elastic collision.

Q. A body of mass $2\text{kg}$ moving with a velocity $3\text{m/s}$ collides with a body of mass $1\text{kg}$ moving with a velocity of $4\text{m/s}$ in opposite direction. If the collision is head on and completely inelastic, then

1. Both particles move together with velocity $\left(\frac{2}{3}\right)\text{m/s}$
2. The momentum of system is $2\text{kg m/s}$ throughout
3. The momentum of system is $10\text{kg m/s}$
4. The loss of KE of system is $\left(\frac{49}{3}\right)J$