Home
Class 12
PHYSICS
A stone is launched upward at 45^(@) wit...

A stone is launched upward at `45^(@)` with speed `v_(0)`. A bee follow the trajectory of the stone at a constant speed equal to the initial speed of the stone.
(a) Find the radius of curvature at the top point of the trajectory.
(b) What is the acceleration of the bee at the top point of the trajectory? For the stone, neglect the air resistance.

Text Solution

Verified by Experts

The correct Answer is:
(i) `(V_(0)^(2))/(2g)`, (ii) 2g
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCULAR MOTION

    ALLEN|Exercise EXERCISE(O-1)|22 Videos

  • CIRCULAR MOTION

    ALLEN|Exercise Martrix match|1 Videos

  • CIRCULAR MOTION

    ALLEN|Exercise Dynamics of circular motion|8 Videos

  • BASIC MATHS

    ALLEN|Exercise Question|1 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise All Questions|427 Videos

Similar Questions

Explore conceptually related problems

A rock is launched upward at 45^(@) . A bee moves along the trajectory of the rock at a constant speed equal to the initial speed of the rock. What is the magnitude of acceleration (in m//s^(2) ) of the bee at the top point of the trajectory? For the rock, neglect the air resistance.

A stone is projected at an angle 45° with horizontal. A bee follows the trajectory of the stone at a constant speed equal to the initial speed of the stone. Neglect air resistance for motion of stone. Find the magnitude of acceleration (in m s^(-2)) of the bee at the topmost point of its trajectory: ( g =9.8 m s^(-2))

Knowledge Check

  • A particle is projected with speed u at angle theta to the horizontal. Find the radius of curvature at highest point of its trajectory

    A
    `(u^(2)cos^(2)theta)/(2g)`
    B
    `(sqrt(3)u^(2)cos^(2)theta)/(2g)`
    C
    `(u^(2)cos^(2)theta)/g`
    D
    `(sqrt(3)u^(2)cos^(2)theta)/g`

  • A particle moves along the trajectory of parabola y = ax^(2) . Assuming speed to be constant, find the radius of curvature at the origin.

    A
    `(1)/(2a)`
    B
    `(1)/(a)`
    C
    `(1)/(2ax)`
    D
    `(2)/(a)`

  • A stone is projected with speed u and angle of projection is theta . Find radius of curvature at t=0.

    A
    `(u^(2) cos^(2) theta)/g`
    B
    `(u^(2))/(g sin theta)`
    C
    `(u^(2))/(g cos theta)`
    D
    `(u^(2) sin^(2) theta)/g`

    • Similar Questions

    Explore conceptually related problems

    A rock is launched upward at 45^(@) .A bee moves along the trajectory of the rock at a constant speed equal to the initial speed of the rock.The magnitude of acceleration of the bee at the top point of the trajectory is xg ?For the rock, neglect the air resistance.Find the value of x .

    A rock is launched upward at 45^@ . A bee moves along the trajectory of the rock. What is the magnitude of acceleration ("in" m s^-2) of the bee at the top point of the trajectory ? For the rock, neglect the air resistance.

    At what angle theta_(0) with the horizontal, should a shell be fired if at the top of its trajectory its path has a radius of curvature equal to twice the maximum height of the trajectory

    The ratio of the speed of a projectile at the point of projection to the speed at the top of its trajectory is x. The angle of projection with the horizontal is

    A stone is projected with speed of 50 ms^(-1) at an angle of 60^(@) with the horizontal. The speed of the stone at highest point of trajectory is

    Home
    Profile