Home
Class 11
PHYSICS
A bullet of mass M is fired with a veloc...

A bullet of mass M is fired with a velocity `50m//s` at an angle 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` metres and gets embeded in the bob. After the collision, the string moves through an angle of `120^@`. Find
(i) the angle `theta`,
(ii) the vertical and horizontal coordinates of the initial position of the bob with respect to the point of firing of the bullet. Take `g=10 m//s^2`

Text Solution

Verified by Experts

The correct Answer is:
(i) `37^(@)` (ii) `(120, 45)`
(i) `((u cos theta)/(4))^(2) = 2g ((3R)/(2))`
`rArr cos theta = 4//5 rArr theta = 37^(@)`
(ii) `x = (R )/(2) = (v^(2) sin^(2) theta)/(2g) = 120m`
`y = H = (u^(2) sin^(2) theta)/(2g) = 45m`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V A|20 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-IV A|32 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-IV ASSERTION & REASON|11 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 5 B (Integer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

A bullet ofmass m is fired with a velocity 10m//s at angle theta with horizontal. At the hightest point of its trajectory, it collsides head-on with a bob of mass 3m suspended by a massless string of length 2//5m and gets embedded in the bob. After th collision the string moves through an angle of 60^(@) . The angle theta is

A bullet of mass m is fired with a velocity of 50ms^(-1) at an angle theta with the horizontal . At the highest point of its trajectory , it collides head on with a body connected to massless string of length l and gets embedded in the bob of mass 3m. After the collision , the string moves to an angle of 120^@ .What is the angle theta ?

A bullet ofmass m is fired with a velocity 10m//s at angle theta with horizontal. At the hightest point of its trajectory, it collsides head-on with a bob of mass 3m suspended by a massless string of length 2//5m and gets embedded in the bob. After th collision the string moves through an angle of 60^(@) . The vertical coordinate of the initial positon of the bob w.r.t. the point of firing of the bullet is

A bullet ofmass m is fired with a velocity 10m//s at angle theta with horizontal. At the hightest point of its trajectory, it collsides head-on with a bob of mass 3m suspended by a massless string of length 2//5m and gets embedded in the bob. After th collision the string moves through an angle of 60^(@) . The horizontal coordinate of the intital position of the bob w.r.t. the point of firing of the bullet is n

A particle of mass m is projected with a velocity mu at an angle of theta with horizontal.The angular momentum of the particle about the highest point of its trajectory is equal to :

A bullet is fired with speed 50m//s at 45^(@) angle with horizontal. Find the height of the bullet when its direction of motion makes angle 30^(@) with the horizontal.

A body of mass m is projected with a velocity u at an angle theta with the horizontal. The angular momentum of the body, about the point of projection, when it at highest point on its trajectory is

A bob of mass m suspended by a light inextensible string of length 'l' from a fixed point. The bob is given a speed of sqrt(6gl) . Find the tension in the string when string deflects through an angle 120^@ from the vertical.

A block of mass M si suspended by two strings angles theta_(1) and theta_(2) with the horizontal. Find the tensions in the strings.

A ball of mass 20 gm is fired with velocity u at an angle of 45^(@) with the horizontal. The ball collides elastically at the highest point of its journey with another identical ball hanged by a 1m long string. Second ball just completes the vertical circle of radius 1m. Find the magnitude of u.