Home
Class 11
PHYSICS
Two identical billiard balls strike a ri...

Two identical billiard balls strike a rigid wall with the same speed but at different angles, and get reflected without any change in speed, as shown in figure. What is (i) the direction of the force on the wall due to each ball? (ii) the ratio of the magnitudes of impulses imparted to the balls by the wall ?

Text Solution

Verified by Experts

Let mass of ball is `mu`
consider X and Y axis as shown in figure
Momentum p=mv
x component of final momentum
Similarly `(p_(y))_("initial" =0`
`=mu = mu`
`:. ,y` component of inpulse of force
Impulse of force =-2 mu
Impulse and force are in same direction Hence force acting on ball due to wall is perpendicular to wall in - x direction by third law of motion to wall in + x direction

x component of momentum `(p_(x ))= ` mucos `30^(@)`
After collision X component of momentum are interchanged while component do not change x component of impulse of force
y= component of impulse of force
By taking ratio of impulse of force in (a) and ( b)
`= (-2 mu)/( -mucos 30^(@))`
`=(2)/(sqrt(3))`
`=2: sqrt(3) = 1.2 :1`
Promotional Banner

Topper's Solved these Questions

  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise SECTION -B (NUMERICAL FROM TEXTUAL EXERCISE)|23 Videos

  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise SECTION -B (ADDITIONAL EXERCISE )|17 Videos

  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise SECTION-A(QUESTION PAPER)|39 Videos

  • GRAVITATION

    KUMAR PRAKASHAN|Exercise QUESTIONS PAPER Section - D|1 Videos

  • MACHANICAL PROPERTIES OF SOLIDS

    KUMAR PRAKASHAN|Exercise QUESTION PAPER|11 Videos

Similar Questions

Explore conceptually related problems

A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12 m s^(-1) . If the mass of the ball is 0.15 kg, determine the impulse imparted to the ball. (Assume linear motion of the ball)

Two billiard balls each of mass 0.05 kg moving in opposite directions with speed 6 ms-1 collide and rebound with the same speed. What is the impulse imparted to each ball due to the other ?

Two billiard balls each of mass 0 .05 kg moving in opposite directions with speed 6 ms^(-1) collide and rebound with the same speed What is the impulse imparted to each ball due to the other ?

A batsman deflects a ball by an angle of 45^@ without changing its initial speed which is equal to 54 km/h. What is the impulse imparted to the ball ? (Mass of the ball is 0.15 kg.)

A batsman deflects a ball by an angle of 45^(@) without changing its initial speed which is equal to 54 km/h. What is the impulse imparted to the ball ? (Mass of the ball is 0.15 kg.)

Two billiard balls each of mass 0.05 kg moving in opposite directions with speed 6 m s^(-1) collide and rebound with the same speed. What is the impulse imparted to each ball due to the other ?

Two identical ball bearing in contact each other and resting on a frictionless table are hit head - on by another ball bearing of the same mass moving intially with a speed c as shown in figure . If the collision is elastic mwhich of the following (figure ) is a possible result after collision ?

Two identical ball bearings in contact with each other and resting on a frictionless table are hit heat-on by another ball bearing of the same mass moving initially with a speed V as shown in figure. If the collision is elastic, which of the following (figure) is a possible result after collision ?

A 0.5 kg ball moving with a speed of 12 m//s strikes a hard wall at an angle of 30^(@) with the wall. It is reflected with the same speed and at the same angle . If the ball is in contact with the wall for 0.25 s , the average force acting on the wall is