A constant force of 3.2 N to the right acts on a 18.2 kg mass for 0.82 s. (a) Find the final velocity of the mass if it is initially at rest. m/s (b) Find the final velocity of the mass if it is initially moving along the x-axis with a velocity of 1.85 m/s to the left. m/s

Explanation:

The given data is as follows.

      F = 3.2 N,      m = 18.2 kg,

      t = 0.82 sec

(a)  Formula for impulse is as follows.

          I = Ft =

        Ft =

or,    

Putting the given values into the above formula as follows.

              =

              = 0.144 m/s

Therefore, final velocity of the mass if it is initially at rest is 0.144 m/s.

(b)  When velocity is 1.85 m/s to the left then, final velocity of the mass will be calculated as follows.

           Ft =

or,      

                  =

                  = -1.705 m/s

Hence, we can conclude that the final velocity of the mass if it is initially moving along the x-axis with a velocity of 1.85 m/s to the left is 1.705 m/s towards the left.

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