PHYS 101 Lecture 6: p101_hw6

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Phys 101 Written Problems #6
Due: Friday, Oct 27, 2017 at 4 PM. Put finished assignment in P101 drop box on 9000 level of Physics
(put into the box that has your tutorial section number as a label).
Please note to get full credit for any written homework assignment you must:
1) Put the assignment name, your full name, your student number, your tutorial section number
(see Canvas for tutorial sections), and TA first name (-1 mark if not done correctly) :
PHYS 101 Homework #1, Susie Smith, 123456789, D102, Tim
2) Show all of your work, clearly and legibly. Use diagrams if necessary.
3) Try to work out answers symbolically. Only put #s in at the end.
4) Put a box around your answers.
5) Don’t forget units.
6) If you use more than one page, staple all of the pages together (-1 mark for unstapled
assignments)
This is quite a dramatic collision. You drop a small ball on top of a large ball from rest at a height, h (see
figure below). In this question you will calculate how high the small ball will bounce up. Assume all
collisions are elastic so that you can use (𝑣𝐴 𝑣𝐵)= −(𝑣𝐴 𝑣𝐵).
a) What is the velocity of the small ball just when the large ball hits the floor?
b) What is the velocity of the large ball just after it leaves the floor?
c) Now the balls collide (after the large ball hits the floor). Use the conservation of momentum and that
the collision is elastic to solve for the velocity of the small ball after the two balls collide. Assume that
the mass of the large ball is much greater than the mass of the small ball so that you can ignore all terms
involving the mass of the small ball.
mB
mA
h
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