Explanation Given data: v 0 = 1.4 m s . θ = 6.9 ° . Formula used: Consider the expression for force acting on an object. F = m a Here, m is the mass of the object, and a is the acceleration of the object. Consider the expression for weight of an object. W = m g Here, m is the mass of the object, and g is the acceleration due to gravity. Consider the expression for the kinetic force of friction . f k = μ k F N Here, μ k is the coefficient of kinetic friction, and F N is the normal force. Consider the expression for acceleration of an object. a = v − v 0 t (1) Here, v is the final velocity, and v 0 is the initial velocity of the object. Calculation: Consider the mass of the penguin is m , the acceleration of the penguin across the horizontal is a , the variable for weight of the Penguin W , the normal force acting on the penguin on the slope is F N1 , the normal force acting on the penguin on the horizontal is F N2 and the kinetic force of friction is f k . Free body diagram of the forces acting on the penguin acting on the slope Figure 1. Resolve the Weight force W from the Figure 1. W x = W sin θ W y = W cos θ As the object is at equilibrium along the y axis, Σ F y = 0 Substitute F N1 − W cos θ for Σ F y . F N1 − W cos θ = 0 F N1 = W cos θ The penguin is in motion along x − axis at constant velocity. The net acceleration of the penguin is 0 m s 2 . So the net force acting along the x axis is, Σ F x = 0 Substitute W sin θ − f k , W sin θ − f k = 0 Substitute W sin θ − μ k F N1 for f k , W sin θ − μ k F N1 = 0 W sin θ − μ k W cos θ = 0 Solve the equation to find μ k . W sin θ = μ k W cos θ μ k = W sin θ W cos θ = sin θ cos θ = tan θ Substitute 6.9 ° for θ , μ k = tan 6

10th Edition

ISBN: 9781119081739

Author: CUTNELL

Publisher: WILEY

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

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Chapter 4, Problem 93P

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The time required for the penguin to slide to a halt after entering the horizontal of ice.

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Chapter 4, Problem 92P

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Ch. 4.2 - Prob. 1CYU Ch. 4.3 - 2. The net external force acting on an object is...Ch. 4.3 - Prob. 3CYU Ch. 4.4 - 4. Newton’s second law indicates that when a net...Ch. 4.4 - 5. All of the following, except one, cause the...Ch. 4.5 - Prob. 6CYU Ch. 4.7 - Prob. 7CYU Ch. 4.7 - Prob. 8CYU Ch. 4.7 - Prob. 9CYU Ch. 4.7 - Prob. 10CYU

Ch. 4.8 - Prob. 11CYU Ch. 4.8 - Prob. 12CYU Ch. 4.8 - Prob. 13CYU Ch. 4.9 - 14. Suppose that the coefficients of static and...Ch. 4.9 - Prob. 15CYU Ch. 4.9 - Prob. 16CYU Ch. 4.9 - Prob. 17CYU Ch. 4.10 - Prob. 18CYU Ch. 4.11 - Prob. 19CYU Ch. 4.11 - Prob. 20CYU Ch. 4.11 - Prob. 21CYU Ch. 4.11 - Prob. 22CYU Ch. 4.12 - Prob. 23CYU Ch. 4.12 - 24. A freight train is accelerating on a level...Ch. 4 - Prob. 1FC Ch. 4 - 3. A cup of coffee is sitting on a table in a...Ch. 4 - 5. Two forces act on a moving object that has a...Ch. 4 - Prob. 7FC Ch. 4 - 8. Two ice skaters, Paul and Tom, are each holding...Ch. 4 - 9. In another solar system a planet has twice the...Ch. 4 - Prob. 11FC Ch. 4 - 12. The apparent weight of a passenger in an...Ch. 4 - Prob. 13FC Ch. 4 - Prob. 15FC Ch. 4 - Prob. 16FC Ch. 4 - Prob. 18FC Ch. 4 - Prob. 20FC Ch. 4 - Prob. 23FC Ch. 4 - Prob. 25FC Ch. 4 - Prob. 1P Ch. 4 - Prob. 2P Ch. 4 - Prob. 3P Ch. 4 - Prob. 4P Ch. 4 - Prob. 5P Ch. 4 - Prob. 6P Ch. 4 - Prob. 7P Ch. 4 - Prob. 8P Ch. 4 - Prob. 9P Ch. 4 - Prob. 10P Ch. 4 - Prob. 11P Ch. 4 - Prob. 12P Ch. 4 - Prob. 13P Ch. 4 - Prob. 14P Ch. 4 - Prob. 15P Ch. 4 - Prob. 16P Ch. 4 - Prob. 17P Ch. 4 - Prob. 18P Ch. 4 - Prob. 19P Ch. 4 - Prob. 20P Ch. 4 - Prob. 21P Ch. 4 - Prob. 22P Ch. 4 - Prob. 23P Ch. 4 - Prob. 24P Ch. 4 - 25. A bowling ball (mass = 7.2 kg, radius = 0.11...Ch. 4 - Prob. 26P Ch. 4 - Prob. 27P Ch. 4 - Prob. 28P Ch. 4 - Prob. 29P Ch. 4 - Prob. 30P Ch. 4 - Prob. 31P Ch. 4 - Prob. 32P Ch. 4 - Prob. 33P Ch. 4 - Prob. 34P Ch. 4 - *35. The sun is more massive than the moon, but...Ch. 4 - Prob. 36P Ch. 4 - Prob. 37P Ch. 4 - Prob. 38P Ch. 4 - Prob. 39P Ch. 4 - Prob. 40P Ch. 4 - 41. A car is traveling up a hill that is inclined...Ch. 4 - Prob. 42P Ch. 4 - Prob. 43P Ch. 4 - Prob. 44P Ch. 4 - Prob. 45P Ch. 4 - Prob. 46P Ch. 4 - 47. An 81-kg baseball player slides into second...Ch. 4 - Prob. 48P Ch. 4 - Prob. 49P Ch. 4 - Prob. 50P Ch. 4 - Prob. 51P Ch. 4 - Prob. 52P Ch. 4 - Prob. 53P Ch. 4 - Prob. 54P Ch. 4 - Prob. 55P Ch. 4 - Prob. 56P Ch. 4 - Prob. 57P Ch. 4 - Prob. 58P Ch. 4 - Prob. 59P Ch. 4 - 60. The drawing shows a circus clown who weighs...Ch. 4 - Prob. 61P Ch. 4 - Prob. 62P Ch. 4 - *63. A 44-kg chandelier is suspended 1.5 m below a...Ch. 4 - Prob. 64P Ch. 4 - Prob. 65P Ch. 4 - Prob. 66P Ch. 4 - Prob. 67P Ch. 4 - **68. A kite is hovering over the ground at the...Ch. 4 - Prob. 69P Ch. 4 - Prob. 70P Ch. 4 - Prob. 71P Ch. 4 - Prob. 72P Ch. 4 - Prob. 73P Ch. 4 - Prob. 74P Ch. 4 - Prob. 75P Ch. 4 - Prob. 76P Ch. 4 - 77. A car is towing a boat on a trailer. The...Ch. 4 - Prob. 78P Ch. 4 - Prob. 79P Ch. 4 - Prob. 80P Ch. 4 - Prob. 81P Ch. 4 - Prob. 82P Ch. 4 - Prob. 83P Ch. 4 - *84. A train consists of 50 cars, each of which...Ch. 4 - Prob. 85P Ch. 4 - *86. The drawing shows a large cube (mass = 25 kg)...Ch. 4 - Prob. 87P Ch. 4 - Prob. 88P Ch. 4 - Prob. 89P Ch. 4 - Prob. 90P Ch. 4 - Prob. 91P Ch. 4 - Prob. 92P Ch. 4 - Prob. 93P Ch. 4 - **94. A 5.00-kg block is placed on top of a...Ch. 4 - Prob. 95AP Ch. 4 - Prob. 96AP Ch. 4 - Prob. 97AP Ch. 4 - Prob. 98AP Ch. 4 - Prob. 99AP Ch. 4 - Prob. 100AP Ch. 4 - Prob. 101AP Ch. 4 - Prob. 102AP Ch. 4 - Prob. 103AP Ch. 4 - Prob. 104AP Ch. 4 - Prob. 105AP Ch. 4 - Prob. 106AP Ch. 4 - Prob. 107AP Ch. 4 - Prob. 108AP Ch. 4 - Prob. 110AP Ch. 4 - Prob. 112AP Ch. 4 - Prob. 113AP Ch. 4 - Prob. 114AP Ch. 4 - Prob. 115AP Ch. 4 - Prob. 116AP Ch. 4 - Prob. 117AP Ch. 4 - Prob. 118AP Ch. 4 - Prob. 119AP Ch. 4 - Prob. 120AP

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