Problem no 5 on Impulse Momentum, Impact & Collision Between Elastic Bodies in Kinetics of Particles

TL;DR

A ball of mass m kg with a velocity of 3 m/s hits an inclined smooth surface, and the velocity of the ball after impact is calculated.

Transcript

hi friends we'll solve problem on kinetics of particles three see what is given in problem a ball of mass m kg hits an inclined smooth surface with 3 meter per second find out velocity of river here if you solve such problem your solution is very easy because mass of that inclined plane or inclined wall is infinite as compared to mass of ball there... Read More

Key Insights

• 💆 The mass of the inclined surface is assumed to be infinite compared to the mass of the ball.
• 👮 The law of conservation of momentum does not apply in this problem due to the infinite mass assumption.
• 😀 The velocity components after impact are vax = 1.5 m/s and vay = -2.078 m/s.
• 😀 The total velocity after impact is found to be 2.563 m/s.

Questions & Answers

Q: What is the type of impact in this problem?

The impact in this problem is oblique, as the velocity is non-collinear with the line of impact.

Q: How is the velocity resolved into components after impact?

The velocity is resolved into components along the line of impact (vay) and perpendicular to the line of impact (vax).

Q: What is the relation between vay and vashy after impact?

The relation is given by vashy = -evay, with the coefficient of restitution (e) being 0.8 in this problem.

Q: How is the total velocity after impact calculated?

The total velocity after impact can be calculated using the Pythagorean theorem, considering the components vax and vay.

Summary & Key Takeaways

• A ball of mass m kg, moving with a velocity of 3 m/s, strikes an inclined smooth surface.

• The impact is oblique, as the velocity is non-collinear with the line of impact.

• Using the given coefficient of restitution (e = 0.8), the velocity after impact is calculated.