Newton's Law of Motion


Newton's Law of Motion
  • Linear momentum


  • Second laws of motion

    F = m
  • Impulse

    I = 
  • Rocket propulsion

    Thrust on the rocket

    F = - u

    Acceleration of the rocket

    A = 

    Instantaneous velocity



    Burnt out speed of the rocket

    vb = vmax = u loge 
  • Friction

    Normal force N = mg

    Normal force in inclined force N = mg cos 

    Coefficient of static friction s = 

    Angle of friction tan  = 

    Resultant force exerted by surface on blck

    S = 
  • Sliding block on a horizontal surface coming to rest

    Acceleration a = - mreg

    Distance traveled by the block before coming to rest is

    d = 

    Time taken by the block to come to rest

    t = 
  • Pulling a block or roller

    The normal force is

    N = mg - F sin 

    Force needed to just slide the body

    F = 

    The minimum possible force among all directions required to just move the body

    F = 
  • Pushing a block or roller

    The normal force is

    N = mg + F sin 

    Force needed to just slide the body

    F = 
  • Block on a smooth inclined plane

    N = mg cos 

    a = g sin 

    The time taken to slide down starting from rest from the top

    T = .

    Velocity of block at the bottom of inclined plane

    v = 

    Distance traveled up the plane

    s = 
  • Block on a rough inclined plane

    Angle of repose s = tan 

    f = mg sin  [mg sin  < fs], if  < a

    f = fs = s mg cos  [Mg sin  = fs], if  = 
  • If the inclination is maintained at ,

    a = g
  • Velocity at the bottom of the plane

    v = 
  • The distance traveled by the block up the plane the velocity becomes zero.

    s = 

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