Dynamics_Part50

# Dynamics_Part50 - Problem Set 7 Problem 2 Problem A man and...

This preview shows page 1. Sign up to view the full content.

Problem Set 7: Problem 2. Problem: A man and a woman are standing at opposite ends of a small boat, ready to take turns diving into the water. The mass of the boat is M , while that of the man and woman is 3 5 M and 2 5 M , respectively. The boat is initially at rest. When each dives in opposite directions parallel to the boat’s centerline, his or her speed relative to the boat is V . Determine the velocity of the boat after both have dived under the following conditions. (a) The woman dives first, followed by the man. (b) The man dives first, followed by the woman. Solution: To solve, we observe that there are no external forces acting. This tells us that momentum is conserved when each person dives. We take care to write all velocities as absolute velocities. Also, we define the x axis to lie on the horizontal. (a) At the moment when the woman dives, the boat is at rest. Since her speed relative to the boat is V , then her absolute velocity after she dives is V i . Letting v 1 denote the velocity of the boat and the man (who hasn’t dived yet), momentum conservation tells us that
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern