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Question (11)
QN0035236

A mass  moving horizontally (along the -axis) with velocity  collides and sticks to mass of  moving vertically upward (along the -axis) with velocity . The final velocity of the combination is     

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

As the two masses stick together after collision, hence it is inelastic collision. Therefore, only momentum is conserved.

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Question (12)
QN0035237

A body of mass  moving with velocity  collides head on with another body of mass  which is initially at rest. The ratio of . . of colliding body before and after collision will be

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

K. E. of colliding body before collision  After collision its velocity becomes

K. E. after collision

Ratio of kinetic energy

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Question (13)
QN0035238

An object of mass  makes an elastic collision with another object of mass  at rest and continues to move in the original direction but with one-fourth of its original speed. What is the value of M?            

  • (A)

  • (B)

  • (C)

  • (D)

    None of these

Correct Answer: D
Explanation:

For the object of mass .

Kinetic energy transferred

Here,

or

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Question (14)
QN0035239

A bullet of mass  and moving with  collides with a block of mass  hanging with the string. What is velocity of bullet when it comes out of block, if block rises to height

 after collision?  

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Initial, K.E.

Change in K.E.  P.E.

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Question (15)
QN0035240

A block of mass  is moving with a speed of  on a smooth surface. It strikes another mass of  and then they move together as a single body. The energy loss during the collision is   

  • (A)

        

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Initial kinetic energy of the system

For collision, applying conservation of linear momentum

Final kinetic energy of the system is

Energy loss during collision

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Question (16)
QN0035241

If a shell fired from a cannon, explodes in mid air, then 

  • (A)

    its total kinetic energy increases

  • (B)

    its total momentum increases

  • (C)

    its total momentum decreases

  • (D)

    None of these

Correct Answer: A
Explanation:

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Question (17)
QN0035242
  1. A ball of mass  hits the floor making an angle  as shown in the figure. If  is the coefficient of restitution, then which relation is true, for the velocity component before and after collision?           

                                                                                                                     

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

As the floor exerts a force on the ball along the normal, & no force parallel to the surface, therefore the velocity component along the parallel to the floor remains constant. Hence .

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Question (18)
QN0035243

Before a rubber ball bounces off from the floor, the ball is in contact with the floor for a fraction of second. Which of the following statements is correct?

  • (A)

    Conservation of energy is not valid during this period

  • (B)

    Conservation of energy is valid during this period

  • (C)

    As ball is compressed, kinetic energy is converted to compressed potential energy

  • (D)

    None of these

Correct Answer: B
Explanation:

The law of conservation of energy is valid at any instant & in all circumstances.

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Question (19)
QN0035244

A bag of sand of mass is suspended by a rope. A bullet of  travelling with speed  gets embedded in it, then loss of kinetic energy will be        

  • (A)

     

  • (B)

  • (C)

    14.7

  • (D)

Correct Answer: B
Explanation:

As no external force is acting on system so,

Loss in K.E.

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Question (20)
QN0035245

A object of mass  collides with another object of mass , which is at rest. After the collision the objects move with equal speeds in opposite direction. The ratio of the masses  is:      

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

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