Answer:
a) 22.06m/s
b)45°
Explanation:
Let 'm' be mass of 1st and 2nd pieces
mass of 3rd piece=3m
=velocity of 1st piece
= -47iˆ m/s
=velocity of 2nd piece
= -47jˆ m/s
=velocity of 3rd piece=?
By considering conservation of linear momentum, we have
m + m + 3m=0
+ + 3=0
3= - ( + )
= - ( + )
Substituting the values of and in above equation
= - (-47iˆ
-47jˆ
) => 15.6iˆ
+ 15.6jˆ
(a)Magnitude of the velocity of the third piece is given by
|| =√15.6²+15.6² => 22.06m/s
(b) its direction (as an angle relative to the +x axis) 'θ'
θ= => =>45°