Two forces p and q act on an object of mass 11.0 kg with q being the larger of the two forces. when both forces are directed to the left, the magnitude of the acceleration of the object is 0.900 m/s2. however, when the force p is directed to the left and the force q is directed to the right, the object has an acceleration of 0.400 m/s2 to the right. find the magnitudes of the two forces p and q .

The magnitude of force on P is 2.75 N

The magnitude of force on Q is 7.15 N

Solution:

As per the question:

Mass of the object, M = 11.0 kg

Acceleration of the object when the forces are directed leftwards, a =

Acceleration when the forces are in opposite direction, a' =

Now,

The net force on the object in first case is given by:

      (1)

The net force on the object in second case is given by:

      (2)

Adding both eqn (1) and (2):

Putting the above value in eqn (1):

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