Answer:
a) magnitude of the stone's velocity = 24.66 m/s
Direction = - 38⁰
b) The collision is not perfectly elastic
Explanation:
The mass of the stone,
The mass of the bullet,
The initial speed of the bullet before striking the stone,
The final speed of the bullet after rebound,
The initial speed of the stone before collision,
The final velocity of the stone in the x- direction,
a) In the x - direction,
Since momentum is conserved before and after collision:
..................(1)
In the y - direction, ,
Inserting these values into equation (1)
Magnitude of the velocity of the stone:
Direction of the velocity of the stone:
b) The collision is perfectly elastic if :
Since
the collision is not perfectly elastic