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  • Centre of Mass & Momentum

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    Question 1

    The centre of mass of a body is the point where:

    • A

      The body has maximum density

    • B

      All the mass of the body is concentrated

    • C

      The body is geometrically centered

    • D

      External forces are always applied

    Question 2

    For two point masses m₁ = 5 kg at x = 2 m and m₂ = 2 kg at x = 6 m, the centre of mass is located at:

    • A

      3.14 m

    • B

      4 m

    • C

      3.43 m

    • D

      2.86 m

    Question 3

    The centre of mass of a uniform solid sphere is located:

    • A

      At the surface

    • B

      At the geometric center

    • C

      Outside the sphere

    • D

      At 2/3 of the radius from center

    Question 4

    Momentum is defined as the product of:

    • A

      Mass and acceleration

    • B

      Mass and velocity (p = mv)

    • C

      Force and time

    • D

      Energy and displacement

    Question 5

    The law of conservation of momentum states that in an isolated system:

    • A

      Momentum always increases

    • B

      Total momentum before and after collision is equal

    • C

      Momentum converts to energy

    • D

      External forces conserve momentum

    Question 6

    Two balls with masses 5 kg and 2 kg move at 6 m/s and 2 m/s respectively and collide. After collision, the 5 kg ball moves at 5 m/s. The velocity of the 2 kg ball after collision is:

    • A

      4.5 m/s

    • B

      6 m/s

    • C

      3 m/s

    • D

      5.5 m/s

    Question 7

    The centre of mass of a uniform triangle is located at a distance from its base of:

    • A

      h/2

    • B

      h/3

    • C

      2h/3

    • D

      3h/4

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