Home
Class 11
PHYSICS
Two identical smooth balls are projected...

Two identical smooth balls are projected from points `O` and `A` on the horizontal ground with same speed of projection. The angle of projection in each case is `30^(@)`.The distance between `O` and `A` is `100 m`. The balls collide in mid-air and return to their respective points of projection. If the coefficient of restitution is `0.7`, find the speed of projection of either ball (in `m//s`) correct to nearest integer. (Take `g = 10 ms^(-2)` and `sqrt(3)=1.7)`

Text Solution

Verified by Experts

The correct Answer is:
`38m//s`
The collision does not alter the vertical component of the velocity of either ball so `t_(1)+t_(2)=T`
`implies50/(ucos30^(@))+50/(0.7ucos30^(@))=(2usin30^(@))/10impliesu~~38m//s`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct|141 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|25 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 1.3|24 Videos

  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Solved Example|13 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Integer|2 Videos

Similar Questions

Explore conceptually related problems

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 ball is projected vertically up with speed 20 m/s. Take g=10m//s^(2)

Knowledge Check

  • Two balls are projected at an angle theta and (90^(@) - theta) to the horizontal with the same speed. The ratio of their maximum vertical heights is

    A
    ` 1 : 1`
    B
    `tan theta : 1`
    C
    `1 : tan theta`
    D
    `tan^(2)theta : 1`

    • Similar Questions

    Explore conceptually related problems

    In case of an object vertically projected, show that the speed of the object upon reaching the point of projection is equal to speed of projection .

    A body is projected with a velocity of 30m/s to have to horizontal range of 45m. Find the angle of projection .

    A ball is projected from a point in a horizontal plane with a velocity of 20 m/s at 30^(@) with the horizontal. Coefficient of restitution is 0.8, then

    A ball is projected at an angle 60^(@) with the horizontal with speed 30 m/s. What will be the speed of the ball when it makes an angle 45^(@) with the horizontal ?

    A ball is projected form a point A on a smooth inclined plane which makes an angle a to the horizontal. The velocity of projection makes an angle theta with the plane upwards. If on the second bounce the ball is moving perpendicular to the plane, find e in terms of alpha and theta . Here e is the coefficient of restitution between the ball and the plane.

    A particle projected from ground moves at angle 45^(@) with horizontal one second after projection and speed is minimum two seconds after the projection The angle of projection of particle is [ Neglect the effect of air resistance )

    A particle is projected from a point on the level ground and its height is h when at horizontal distances a and 2 a from its point of projection. Find the velocity of projection.

    Home
    Profile