A 20 g ball of clay traveling east at 2.0 m/s collides with a 30 g ball of clay traveling 30áµ south of west at 1.2 m/s. what are the speed and direction of the resulting 50 g blob of clay?

The resultant speed of 50 gm blob of clay is

and Direction is = 63.86°

Explanation:

Given data

= 2

= 0

= 30 gm

= 1.2

30

= - 1.2 = - 1.039

= - 0.6

From conservation of momentum principal  in x- direction

+  = ( +  )

Put all the values in above equation we get

20 × 2 + 30 × ( -1.039 ) = (30 + 20)

= 0.1766

From conservation of momentum principal  in y - direction

+  = ( +  )

20 × 0 + 30 × ( - 0.6 ) = (30 + 20)

 = - 0.36

Now resultant velocity

Direction

= 63.86°

Therefore the resultant speed of 50 gm blob of clay is

and Direction is = 63.86°

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