Question

Two identical billiards balls strike a rigid wall with the same speed but at diffrent angle and gets reflected with out change in speed what is (i) the ratio of the magnitudes implulse generated?

Answer 1

The magnitudes of the impulses generated are equal because the balls both strike with the same momentum and for the same amount of time so the ratio of the magnitudes is 1.

Answer 2

The ratio of the magnitudes implulse generated is cos θ₁ : cos θ₂

Further explanation

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

$\large {\boxed {F = ma }$

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

Let's look at a picture of a billiard ball hitting a wall in the attachment.

Let :

θ = incidence angle of billiard ball

$I = \Delta p$

$I = \Delta mv$

$I = m \Delta v$

Since the speed component that changes is in the direction of the x-axis, then

$I = m \Delta v_x$

$I = m ( v \cos \theta - ( - v \cos \theta ))$

$I = 2mv \cos \theta$

Because the two identical billiards balls strike a rigid wall with the same speed but at different angle , then

$I_1 : I_2 = 2mv \cos \theta_1 : 2mv \cos \theta_2$

$\large {\boxed {I_1 : I_2 = \cos \theta_1 : \cos \theta_2} }$

Learn more

• Impacts of Gravity : brainly.com/question/5330244
• Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
• The Acceleration Due To Gravity : brainly.com/question/4189441
• Newton's Law of Motion: brainly.com/question/10431582
• Example of Newton's Law: brainly.com/question/498822

Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant