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Force exerted by collision - class-XI

Description: force exerted by collision
Number of Questions: 22
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Tags: work, energy and power mechanics physics
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During any collision

  1. Momentum is conserved

  2. Linetic energy is conserved

  3. Both conserved

  4. All


Correct Option: A
Explanation:

During any collision, the momentum is conserved but the kinetic energy is not. This is because during collision, a part of kinetic energy is converted into heat sound energies.

Collision is a _______event. Fill in the blank. 

  1. Short time

  2. Long time

  3. Gradual

  4. All of the above


Correct Option: A
Explanation:

Collision is a short time event in which two or more bodies apply forces on each other for a relatively short time. 

For two body system, the forces they apply on each other during collision with each other are

  1. external forces on the system

  2. internal forces within the system but external forces on each body

  3. external forces on the system but internal forces on each body

  4. None


Correct Option: A
Explanation:

When we consider two body as one system, any interaction between them is internal. But when we consider one body (as system), the force applied by the other body is external force.

When two bodies collide, they _________ each other.

  1. Push

  2. Pull

  3. Moves towards

  4. All


Correct Option: A
Explanation:

When two bodies collide, they push each other. As a result, equal and opposite forces act on each body.

In the game of cricket, the stumps falls when the ball strikes them. This is an example of

  1. Contact force

  2. Non contact force

  3. Displacement force

  4. None


Correct Option: A
Explanation:
When a speeding ball strakees stumps, they came in contact with each other, due to that a contact force greater between the two.
This face pushes the $3$ function in the direction of motion of the ball resulting it to fall off. 
option $A$ is correct






Two bodies of equal masses moving with equal velocities in opposite direction collide the resultant velocity of combination is

  1. v

  2. 2v

  3. -v

  4. zero


Correct Option: D
Explanation:

When two equal masses moving with equal but opposite velocities collies. Their velocities cancel each other and net velocity becomes zero.

All collision conserves

  1. Kinetic energy

  2. Potential energy

  3. Momentum

  4. All of the above


Correct Option: C
Explanation:
According to the collision theory, all collisions are conserved in momentum in both elastic and inelastic collision. KE is conserved in elastic collision but not in inelastic collision. 

Head on collision are .............. collisions

  1. 1D

  2. 2D

  3. 3D

  4. None


Correct Option: A
Explanation:

Head on collisions are 1-Dimensional collision which occur, in the same straight line without any deviation to original path.

A billiard ball moving with a speed of $5  {m}/{s}$ collides with an identical ball originally at rest. If the first ball stops after collision then the second ball will move forward with a speed 

  1. $10 {m}/{s}$

  2. $5 {m}/{s}$

  3. $2.5 {m}/{s}$

  4. $1 {m}/{s}$


Correct Option: B
Explanation:

In elastic head collision velocities get interchanged.

Impulse of force is

  1. Product of average force and time

  2. Division of average force and time

  3. Integration of average force and time

  4. All of the above


Correct Option: A
Explanation:

The product of average force and the time it is exerted is known as impulse of force.

In elastic collision, $A$ is conserved while in inelastic collision $B$ is conserved.
I.Momentum
II.Kinetic Energy
III.Potential Energy

  1. $A$ = I, II
    $B$ = I, III

  2. $A$ = I, III
    $B$ = I

  3. $A$ = III
    $B$ = II, III

  4. $A$ = II
    $B$ = I, III


Correct Option: B
Explanation:
Collision can be elastic, which means they conserve  both K.E. and momentum. In inelastic collision, they only conserve momentum but not K.E. 

In an elastic collision of two particles the following is conserved.

  1. Momentum of each particle

  2. Speed of each particle

  3. Kinetic energy of each particle

  4. Total kinetic energy of both the particles


Correct Option: D
Explanation:

Total kinetic energy, i.e., kinetic energy of the system is conserved.

Co-efficient of restitution is zero in

  1. Perfectly Inelastic collision

  2. Perfectly elastic collision

  3. Both A and B

  4. None


Correct Option: A
Explanation:

In a perfectly inelastic collision having zero coefficient of restitution as the colliding particles stick together.

Line which is common normal for surfaces in contact during impact is known as

  1. Line of impact

  2. Line of collision

  3. Line of energy

  4. None


Correct Option: A
Explanation:

Line which is common normal for surfaces  in contact during impact is known as line of impact. This is the line along which internal force of collision acts during impact.

How much force is exerted on a gunner by the machine gun, when the gunner fires machine gun, and $500$ bullets per minute are fired . The mass of bullet is $10g$ and it moves at $400\ m/s$ so as to avoid recoil.

  1. $\dfrac{100}{3}N$

  2. $200N$

  3. $2000N$

  4. $1000N$


Correct Option: A

A ball of  mass $0.2kg$ is thrown against the wall$,$ the ball strikes the wall normally with velocity of $30m/s$ sand rebounds with velocity of $20m/s.$ Calculate the impulse of the force exerted by the ball on the wall

  1. $2N$

  2. $-10N$

  3. $20N$

  4. $40N$


Correct Option: B
Explanation:

Given $, u = 30 m/s$ $, v = 20 m/s$ 

$m =  0.2 kg$
impulse $-$ change in momentum of the body$,$
$= mv - mu = m (v - u )$
$= 0.2 ( -20 -30 ) = -10 N$
Hence,
option $(B)$ is correct answer.

If a cricket ball hits you, it will hurt much more than a tennis ball would when moving with the same velocity because:

  1. a cricket ball is bigger

  2. a cricket ball has more mass

  3. a cricket ball has less density

  4. none of the above


Correct Option: B
Explanation:

Impulse "Ft" is defined as change in momentum.

The ball with more momentum will hurt more. Here, cricket ball will hurt more as it has more momentum (mv) than tennis ball.
This is because cricket ball has more mass and same velocity as that of tennis ball.
So option B is correct.

Two solid rubber balls $A$ and $B$ having masses $200$ grams and $400$ grams are moving in opposite directions with velocity of $A$ equal to $0.3   {m}/{s}$. After collision the two balls come to rest, then the velocity of $B$ is

  1. $0.15 {m}/{s}$

  2. $1.5 {m}/{s}$

  3. $- 0.15 {m}/{s}$

  4. None


Correct Option: C
Explanation:

Initial linear momentum of system $= {m} _{A} \bar { { V } _{ A } } + {m} _{B} \bar { { V } _{ B } }$
                                                      $ = 0.2 \times 0.3 + 0.4 \times {V} _{B}$
Finally both balls come to rest.
Finally linear momentum $= 0$
By the law of conservation of linear momentum.
$0.2 \times 0.3 + 0.4 \times {V} _{B} = 0$
${V} _{B} = -\dfrac{0.2 \times 0.3}{0.4} = -0.15  {m}/{s}$

A shell of mass $m$ moving with velocity $V$ suddenly breaks into $2$ pieces. The part having mass ${m}/{4}$ remains stationary. The velocity of the other shell will be:

  1. $V$

  2. $2V$

  3. ${3}/{4} V$

  4. ${4}/{3} V$


Correct Option: D
Explanation:
Mass of the one part which remains at rest is $\dfrac{m}{4}$.
Thus mass of other shell is $\dfrac{3m}{4}$.
Using conservation of linear momentum :  $P _{initial} = P _{final}$
$m V = \dfrac{m}{4} \times 0 + \dfrac{3m}{4} V _2$
Or  $m V =   \dfrac{3m}{4} V _2$
$\implies$ $V _2 = \dfrac{4V}{3}$

Two bodies having same mass $40   kg$ are moving in opposite directions, one with a velocity of $10  {m}/{s}$ and the other with $7   {m}/{s}$. If they collide and move as one body, the velocity of the combination is

  1. $10 {m}/{s}$

  2. $7 {m}/{s}$

  3. $3 {m}/{s}$

  4. $1.5 {m}/{s}$


Correct Option: D
Explanation:

By the conservation of momentum
   $40 \times 10 + \left(40\right) \times \left(-7\right) = 80 \times V$
   $V = 1.5   {m}/{s}$

Two equal masses ${m} _{1}$ and ${m} _{2}$ moving along the same straight line with velocities $+3  {m}/{s}$ and $-5  {m}/{s}$ respectively collide elastically. Their velocities after the collision will be respectively :

  1. $+4 {m}/{s}$ for both

  2. $-3 {m}/{s}$ and $+5 {m}/{s}$

  3. $-4 {m}/{s}$ and $+4 {m}/{s}$

  4. $-5 {m}/{s}$ and $+3 {m}/{s}$


Correct Option: D
Explanation:

As ${m} _{1} = {m} _{2}$, therefore after elastic collision velocities of masses gets interchanged.

A machine gun of mass 5 kg fires 30 bullets, each of mass 50 g, per minute at a speed of $400\,m\,{s^{ - 1}}$. What force must be exerted to keep the machine gun in position?

  1. $30N$

  2. $10N$

  3. $27N$

  4. $33N$


Correct Option: B
Explanation:

Mass of the gun $=5kg$

Mass of bullets $=50g$
speed at which the bullet is fired$=400m/s$
Therefore$,$ force required to keep the machine gun in position $=\frac{{ch\arg e\,in\,momentum\,of\,bullets}}{{time\,taken}}$
$=\frac{{\left( {50 \times {{10}^{ - 3}} \times 30} \right) \times 400}}{{60}} = 10\,N$
Hence,
option $(B)$ is correct answer.

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