Usually, we do not walk or even stand on a lightweight boat or raft because of the danger of falling into the water. If you have ever stepped off a small boat onto a dock, however, you have probably noticed that the boat moves away from the dock as you step toward the dock or out of the boat. A heavy dog running on a long lightweight raft presents a similar situation. At first, the raft and the dog are at rest with respect to the water (see figure A below) so that ✓; = 0. The dog then runs on top of the raft at ✓d = v₁₁ with respect to the water (see figure B below). The dog has one fourth the mass of the raft. Find an expression for the velocity of the raft after the dog began running. (Use the following as necessary: Vd.) V A. √₁ = ? B. V₁ = 0

Usually, we do not walk or even stand on a lightweight boat or raft because of the danger of falling into the water. If you have ever stepped off a small boat onto a dock, however, you have probably noticed that the boat moves away from the dock as you step toward the dock or out of the boat. A heavy dog running on a long lightweight raft presents a similar situation. At first, the raft and the dog are at rest with respect to the water (see figure A below) so that ✓; = 0. The dog then runs on top of the raft at ✓d = v₁₁ with respect to the water (see figure B below). The dog has one fourth the mass of the raft. Find an expression for the velocity of the raft after the dog began running. (Use the following as necessary: Vd.) V A. √₁ = ? B. V₁ = 0

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

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