Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

11. [1pt] Consider a perfectlyelastic collision between two objects of equal mas

ID: 1726046 • Letter: 1

Question

11. [1pt] Consider a perfectlyelastic collision between two
objects of equal mass. Object 1 is initially moving with a
velocity v = 8.03m/s while object 2 is at rest. What are the
final velocities after the collision? Enter the final velocityof
object 1 first.

11. [1pt] Consider a perfectlyelastic collision between two
objects of equal mass. Object 1 is initially moving with a
velocity v = 8.03m/s while object 2 is at rest. What are the
final velocities after the collision? Enter the final velocityof
object 1 first.

Explanation / Answer

   In perfectly elastic collision    v1   =   {u1* (m1 - m2) + 2 * m2 *u2} / (m1 + m2)    v2   =    {u2* (m2 - m1) + 2 * m1 *u1} / (m1 + m2)    Subscript 1 and 2 refer tot first and secondobject respectively. u is initial velocity and v is finalvelocity.    given   m1   =   m2   =   m,   u1   =   8.03   m/s,   u2   =   0    =>   Final vlocity of firstobject   v1   =   {8.03* ( m - m) + 2 * 0 * m} / ( m +m)   =   0   m/s             Finalvelocity of secondobject   v2   =   {0 * ( m - m) + 2 * m * 8.03} / ( m +m)   =   8.03   m/s