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OMPhQuiz_11_p93-100

OMPhQuiz_11_p93-100 - chapter 11 Collisions Impulse(Section...

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Impulse (Section 11.1) 1. Impulse delivered by the incline • Context in the textbook: This is an exercise of Eq. (11.4) in Section 11.1. Elastic collisions in one dimension (Section 11.2) 2. Elastic collision—I 3. Elastic collision—II 4. Sledgehammer and a ball 5. Collision with a pendulum Inelastic collision in one dimension (Section 11.3) 6. Inelastic collision between a bullet and a ball Collision in two dimensions (Section 11.4) 7. A perfectly inelastic collision in two dimensions Contents PhysiQuiz 93 chapter 11 Collisions

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Consider the deflection of a falling ball by a 45° incline. The ball bounces off horizontally. Assume that this is an elastic collision. Determine the impulse delivered by the incline onto the ball: A B C D Direction c d c d p p i p i 2 p i 2 p i Hint: The impulse vector imparted on the ball by the plane is defined by p p f p i . Sketch the vector diagram first. Explanation: From the sketch, we see that Answer C. p i 94 PhysiQuiz 1. Impulse Delivered by the Incline p f p i Δ p
We have two balls with masses m 1 m 2 m . The ball m 1 with a speed v 1 v 0 is approaching m 2 , which is at rest ( v 2 0). They undergo a head-on elastic collision. Denote the final velocities as v 1 and v 2 . Identify the correct pair of v 1 and v 2 values: A B C D v 1 v 0 /2 v 0 /3 0 v 0 /2 v 2 v 0 /2 2 v 0 /3 v 0 3 v 0 /2 Hint: For an elastic collision, the following two conditions must be satisfied: Conservation of momentum: p i m v 1 m v 2 p f m v 1 m v 2 . Conservation of kinetic energy: K f K i . Explanation: Notice that for all choices (in the x direction), p i mv 1 mv 2 mv 0 and p f mv 1 mv 2 mv 0 . In other words, momentum is conserved for all four cases. Next check the condition K f K i . The initial kinetic energy is given by K i mv 0 2 /2. We need to work out K f for all four choices. For instance, for the first choice A, K f m ( v 0 /2) 2 /2 m ( v 0 /2) 2 /2 mv 0 2 /4. Do the same for the other three choices. All except C fail this condition. So Answer C.

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