Introduction to Physics I

I. Two gliders, A and B, collide on a level, frictionless track, as shown below. The mass of glider A is less than that of glider B ( i.e., m A <m B ). The ﬁnal speed of glider A is greater than that of glider B ( i.e., v Af > v Bf ). Is the magnitude of the ﬁnal momentum of glider A, |p Af |, greater than, less than, or equal to that of glider B, |p Bf |? Draw a momentum vector diagram to support your answer. The change in momentum vectors for each block are equal in magnitude, but opposite in directions. Sketching this vector for block A allows us to sketch it for block B as shown. It is easy to see from the diagram that the ﬁnal momentum of B must be larger than that of A if the change in momentum vectors are to be equal in magnitude. II. Two gliders, C and D, collide on a level, frictionless track, as shown below. v B i = 0 After collision A B v A f v B f Before collision A B v A i initial momentum ﬁnal momentum change in momentum Block A Block B Written homework 9 Name:_________________ Physics 101 - Andrew Crouse - Ithaca College Fall Adapted from: Tutorials in Introductory Physics, McDermott, Shaffer, & P.E.G., U. Wash. https://www.coursehero.com/file/9170223/HW9-SOL/ This study resource was shared via CourseHero.com The mass of glider C is less than that of glider D ( i.e., m C <m D ). The initial speed of glider C is greater than that of glider D ( i.e., v Ci > v Di ). After the collision, Gliders C and D move in opposite directions with the same ﬁnal speed, v f . Is the magnitude of the initial momentum of glider C, |p Ci |, greater than, less than, or equal to that of glider D, |p Di |? Draw a momentum vector diagram to support your answer. The change in momentum vectors for each block are equal in magnitude, but opposite in directions. Sketching this vector for block C allows us to sketch it for block D as shown. The two blocks have the same ﬁnal velocity, but D has a larger mass. Thus, D has the larger ﬁnal momentum. If the change in momentum vectors are to be equal in magnitude the initial momentum of block D must be smaller than that of block C as shown in the diagram. v D i After collision C D v C f v D f Before collision C D v C i initial momentum ﬁnal momentum change in momentum Block C Block D Written homework 9 Physics 101 - Andrew Crouse - Ithaca College Fall Adapted from: Tutorials in Introductory Physics, McDermott, Shaffer, & P.E.G., U. Wash. https://www.coursehero.com/file/9170223/HW9-SOL/ This study resource was shared via CourseHero.com

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