Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 4, Problem 9CQ

Balancing carefully, three boys inch out onto a horizontal tree branch above a pond, each planning to dive in separately. The third boy in line notices that the branch is barely strong enough to support them. He decides to jump straight up and land back on the branch to break it, spilling all three into the pond. When he starts to carry out his plan, at what precise moment does the branch break? Explain. Suggestion: Pretend to be the third boy and imitate what he does in slow motion. If you are still unsure, stand on a bathroom scale and repeat the suggestion.

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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 =
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.)

Chapter 4 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 4 - Prob. 4OQCh. 4 - Prob. 5OQCh. 4 - Prob. 6OQCh. 4 - Prob. 1CQCh. 4 - If a car is traveling due westward with a constant...Ch. 4 - A person holds a ball in her hand. (a) Identify...Ch. 4 - Prob. 4CQCh. 4 - If you hold a horizontal metal bar several...Ch. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Balancing carefully, three boys inch out onto a...Ch. 4 - Prob. 10CQCh. 4 - Prob. 11CQCh. 4 - Prob. 12CQCh. 4 - Prob. 13CQCh. 4 - Give reasons for the answers to each of the...Ch. 4 - Prob. 15CQCh. 4 - In Figure CQ4.16, the light, taut, unstretchable...Ch. 4 - Prob. 17CQCh. 4 - Prob. 18CQCh. 4 - Prob. 19CQCh. 4 - A force F applied to an object of mass m1 produces...Ch. 4 - (a) A car with a mass of 850 kg is moving to the...Ch. 4 - A toy rocket engine is securely fastened to a...Ch. 4 - Two forces, F1=(6i4j)N and F2=(3i+7j)N, act on a...Ch. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Two forces F1 and F2 act on a 5.00-kg object....Ch. 4 - A 3.00-kg object is moving in a plane, with its x...Ch. 4 - A woman weighs 120 lb. Determine (a) her weight in...Ch. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - You stand on the seat of a chair and then hop off....Ch. 4 - Prob. 17PCh. 4 - A block slides down a frictionless plane having an...Ch. 4 - Prob. 19PCh. 4 - A setup similar to the one shown in Figure P4.20...Ch. 4 - Prob. 21PCh. 4 - The systems shown in Figure P4.22 are in...Ch. 4 - A bag of cement weighing 325 N hangs in...Ch. 4 - Prob. 24PCh. 4 - In Example 4.6, we investigated the apparent...Ch. 4 - Figure P4.26 shows loads hanging from the ceiling...Ch. 4 - Prob. 27PCh. 4 - An object of mass m1 = 5.00 kg placed on a...Ch. 4 - An object of mass m = 1.00 kg is observed to have...Ch. 4 - Two objects are connected by a light string that...Ch. 4 - Prob. 31PCh. 4 - A car is stuck in the mud. A tow truck pulls on...Ch. 4 - Two blocks, each of mass m = 3.50 kg, are hung...Ch. 4 - Two blocks, each of mass m, are hung from the...Ch. 4 - In Figure P4.35, the man and the platform together...Ch. 4 - Two objects with masses of 3.00 kg and 5.00 kg are...Ch. 4 - A frictionless plane is 10.0 m long and inclined...Ch. 4 - Prob. 39PCh. 4 - An object of mass m1 hangs from a string that...Ch. 4 - A young woman buys an inexpensive used car for...Ch. 4 - A 1 000-kg car is pulling a 300-kg trailer....Ch. 4 - An object of mass M is held in place by an applied...Ch. 4 - Prob. 44PCh. 4 - An inventive child named Nick wants to reach an...Ch. 4 - In the situation described in Problem 45 and...Ch. 4 - Two blocks of mass 3.50 kg and 8.00 kg are...Ch. 4 - Prob. 48PCh. 4 - In Example 4.5, we pushed on two blocks on a...Ch. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Review. A block of mass m = 2.00 kg is released...Ch. 4 - A student is asked to measure the acceleration of...Ch. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - A car accelerates down a hill (Fig. P4.57), going...Ch. 4 - Prob. 58PCh. 4 - In Figure P4.53, the incline has mass M and is...
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