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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Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in water is slowed by a viscous retarding force of magnitude bv2, where b is a constant, (a) Find and sketch v(t). How long does it take the boat to reach a speed of v0/l000? (b) Find x(t). How far does the boat travel in this time? Let m = 200 kg, v0 = 2 m/s, and b = 0.2 Nm-2s2.
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 vi = 0.The dog then runs on top of the raft at vd = vd with respect to the water (see figure B below). The dog has half 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.) vr =?i
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 vi = 0. The dog then runs on top of the raft at vd = vd with respect to the water (see figure B below). The dog has half 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.)
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 vi = 0. The dog then runs on top of the raft at vd = vd with respect to the water (see figure B below). The dog has one sixth 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.) vr =
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When you catch a water balloon, it’s best to start with your hand in motion, moving with the balloon, and then gradually slow it to rest. Why is this approach desirable?
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