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.
[tex]\large {\boxed {F = ma }[/tex]
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
[tex]I = \Delta p[/tex]
[tex]I = \Delta mv[/tex]
[tex]I = m \Delta v[/tex]
Since the speed component that changes is in the direction of the x-axis, then
[tex]I = m \Delta v_x[/tex]
[tex]I = m ( v \cos \theta - ( - v \cos \theta ))[/tex]
[tex]I = 2mv \cos \theta[/tex]
Because the two identical billiards balls strike a rigid wall with the same speed but at different angle , then
[tex]I_1 : I_2 = 2mv \cos \theta_1 : 2mv \cos \theta_2[/tex]
[tex]\large {\boxed {I_1 : I_2 = \cos \theta_1 : \cos \theta_2} }[/tex]
Learn more
- Impacts of Gravity : https://brainly.com/question/5330244
- Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
- The Acceleration Due To Gravity : https://brainly.com/question/4189441
- Newton's Law of Motion: https://brainly.com/question/10431582
- Example of Newton's Law: https://brainly.com/question/498822
Answer details
Grade: High School
Subject: Physics
Chapter: Dynamics
Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant
