A bullet of mass M is fired with a velocity 50m/s at an angle θ with the horizontal. At the highest point of its trajectory, it collides head-on with a bob of mass 3M suspended by a massless string of length 10/3 meters and gets embedded in the bob. After the collision the string moves through an angle of 120º. Find
(i) The angle θ,
(ii) The vertical and horizontal co-ordinates of the initial position of the bob with respect to the point of firing of the bullet. (Take g = 10m/s2)
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
The horizontal component of the velocity of the bullet 
when the bullet
strikes to bob at highest point of its trajectory.
, where v is the velocity of the bob and bullet system,
The length of string 
The vertical displacement h of the bob
Now, applying the law of conservation of energy, we get
or
or 
Thus, the absolute of the initial position of the bob, x
(Range of the bullet)
And, the ordinate
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems