Answer:
a) Final velocity of second bowling pin is <u>2.5m/s</u>.
b) Final velocity of second bowling pin is <u>3 m/s</u>.
Explanation:
Let 'm' be the mass of both the bowling pin -
m = 1.5 kg
Initial velocity of first bowling pin -
In any type of collision between two bodies in horizontal plane , momentum is conserved along the line of impact.
a) Since , initial velocity of second bowling pin is 0 m/s -
Initial momentum ,
Final velocity of first bowling pin , [Considering initial direction of motion of the first bowling pin to be positive]
Let be the final velocity of the second bowling pin.
∴ Final momentum ,
.
Now ,
∴
∴ = 3 - 0.5 = 2.5 m/s
∴ Final velocity of second bowling pin is 2.5 m/s.
b) Since , initial velocity of second bowling pin is 0 m/s -
Initial momentum ,
Final velocity of first bowling pin , [given][Considering initial direction of motion of the first bowling pin to be positive]
Let be the final velocity of the second bowling pin.
∴ Final momentum ,
.
Now ,
∴
∴ = 3 - 0 = 3 m/s
∴ Final velocity of second bowling pin is 3 m/s.