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State newton's third law...

State newton's third law

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For every action, there is an equal and oppsite reaction. They always act on two different bodies..
"The force acting on a body is directly proportional to the rate of change of linear momentum of the body and the change in momentum takes place in the direction of the force ".
Let, .m. be the mass of a moving body, moving along a straight line with an initial speed .u.. After a time interval of .t. , the velocity of the body changes to .v. due to the impact of an unbalanced external force F.
Initial momentum of the body `P_i = m u`
Final momentum of the body `P_f = mv`
Change in momentum `Deltap = P_f - P_i`
`= mv - m u`
By Newton.s second law of motion.
Force , `F prop` rate of change of momentum
`F prop` change in momentum/time
`F prop (mv - m u)/t`
`F = (km(v - u))/(t)`
Here, k is the proportionality constant k = 1 in all system of units. Hence,
`F = (m(v - u))/(t)`
Since, acceleration = change in velocity/time, `a = (v - u)t`. Hence, we have
`F = m xx a`
Force = mass `xx` acceleration
(i) No external force is required to maintain the motion of a body moving with uniform velocity.
(ii) When the net force acting on a body is not equal to zero, then definitely the velocity of the body will change .
(iii) Thus, change in momentum takes place in the direction of the force. The change may take place either in magnitude or in direction or in both.
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Knowledge Check

  • Which is incorrect statement about the action and reaction referred to Newton's third law of motion ?

    A
    They are equal
    B
    they are opposite
    C
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    D
    They act on two different objects
  • Assertion: A rocket moves forward by pushing the air backwards. Reason: It derives the necessary thrust to move forwarded according to Newton's third law of motion.

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    If both the assertion and the reason are true and the reason is the correct explanation of assertion.
    B
    If both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.
    C
    Assertion is true, but the reason is false.
    D
    Assertion is false , but the reason is true.
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