Explanation Given data: Compression length of the spring is 0.062 m. Speed of the object horizontally is 1.5 m s . Formula used: Write the expression for total mechanical energy. E = 1 2 m v 2 + 1 2 I ω 2 + m g h + 1 2 k x 2 (1) Here, E is the total mechanical energy, m is the mass, v is the velocity, I is the moment of inertia, ω is the angular speed, g is the acceleration due to gravity with the value 9.8 m s 2 , h is the height, k is the spring constant, and x is the displacement of the spring. Write the expression for angular frequency. ω = k m (2) Explanation: For the final mechanical energy, Substitute E f for E , v f for v , ω f for ω , h f for h and x f for x in equation (1), E f = 1 2 m v f 2 + 1 2 I ω f 2 + m g h f + 1 2 k x f 2 (3) For the initial mechanical energy, Substitute E 0 for E , v 0 for v , ω 0 for ω , h 0 for h and x 0 for x in equation (1), E 0 = 1 2 m v 0 2 + 1 2 I ω 0 2 + m g h 0 + 1 2 k x 0 2 (4) According to conservation of energy, initial mechanical energy is same as final mechanical energy, E f = E 0 Equate equations (3) and (4), 1 2 m v f 2 + 1 2 I ω f 2 + m g h f + 1 2 k x f 2 = 1 2 m v 0 2 + 1 2 I ω 0 2 + m g h 0 + 1 2 k x 0 2 (5) The initial velocity of the block is zero, since the block starts from rest, that is, v 0 = 0 m s

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Chapter 10, Problem 37P

To determine

Angular frequency.

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Chapter 10, Problem 36P

Chapter 10, Problem 38P

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Physics

Ch. 10.1 - 1. A steel ball is dropped onto a very hard floor....Ch. 10.1 - Prob. 2CYU Ch. 10.1 - Prob. 3CYU Ch. 10.1 - Prob. 4CYU Ch. 10.2 - 5. The drawing shows plots of the displacement x...Ch. 10.2 - Prob. 6CYU Ch. 10.2 - Prob. 7CYU Ch. 10.3 - Prob. 8CYU Ch. 10.3 - Prob. 9CYU Ch. 10.3 - Prob. 10CYU

Ch. 10.4 - Prob. 11CYU Ch. 10.4 - Prob. 12CYU Ch. 10.4 - Prob. 13CYU Ch. 10.4 - Prob. 14CYU Ch. 10.5 - 15. The shock absorbers on a car are badly in need...Ch. 10.6 - Prob. 16CYU Ch. 10.7 - 17. Young’s modulus for steel is greater than that...Ch. 10.7 - Prob. 18CYU Ch. 10.7 - Prob. 19CYU Ch. 10.7 - Prob. 20CYU Ch. 10.8 - Prob. 21CYU Ch. 10 - Prob. 2FC Ch. 10 - 3. You have two springs. One has a greater spring...Ch. 10 - 4. An object is oscillating in simple harmonic...Ch. 10 - 11. The kinetic energy of an object attached to a...Ch. 10 - Prob. 13FC Ch. 10 - Prob. 14FC Ch. 10 - Prob. 16FC Ch. 10 - Prob. 17FC Ch. 10 - Prob. 18FC Ch. 10 - Prob. 20FC Ch. 10 - 1. A hand exerciser utilizes a coiled spring. A...Ch. 10 - Prob. 2P Ch. 10 - Prob. 3P Ch. 10 - 4. A spring lies on a horizontal table, and the...Ch. 10 - Prob. 5P Ch. 10 - 6. A spring (k = 830 N/m) is hanging from the...Ch. 10 - Prob. 7P Ch. 10 - Prob. 8P Ch. 10 - Prob. 9P Ch. 10 - Prob. 10P Ch. 10 - Prob. 11P Ch. 10 - Prob. 12P Ch. 10 - Prob. 13P Ch. 10 - Prob. 14P Ch. 10 - Prob. 15P Ch. 10 - Prob. 16P Ch. 10 - Prob. 17P Ch. 10 - Prob. 18P Ch. 10 - Prob. 19P Ch. 10 - Prob. 20P Ch. 10 - Prob. 21P Ch. 10 - Prob. 22P Ch. 10 - Prob. 23P Ch. 10 - Prob. 24P Ch. 10 - 25. A pen contains a spring with a spring constant...Ch. 10 - Prob. 26P Ch. 10 - Prob. 27P Ch. 10 - Prob. 28P Ch. 10 - Prob. 29P Ch. 10 - Prob. 30P Ch. 10 - Prob. 31P Ch. 10 - Prob. 32P Ch. 10 - Prob. 33P Ch. 10 - Prob. 34P Ch. 10 - Prob. 35P Ch. 10 - 36. A spring is resting vertically on a table. A...Ch. 10 - Prob. 37P Ch. 10 - Prob. 38P Ch. 10 - Prob. 39P Ch. 10 - Prob. 40P Ch. 10 - Prob. 41P Ch. 10 - Prob. 42P Ch. 10 - 43. A simple pendulum is made from a 0.65-m-long...Ch. 10 - Prob. 44P Ch. 10 - Prob. 45P Ch. 10 - Prob. 46P Ch. 10 - Prob. 47P Ch. 10 - 48. Multiple-Concept Example 11 explores the...Ch. 10 - Prob. 49P Ch. 10 - 50. A small object oscillates back and forth at...Ch. 10 - Prob. 51P Ch. 10 - Prob. 52P Ch. 10 - Prob. 53P Ch. 10 - Prob. 54P Ch. 10 - Prob. 55P Ch. 10 - Prob. 56P Ch. 10 - Prob. 57P Ch. 10 - Prob. 58P Ch. 10 - 59. Two metal beams are joined together by four...Ch. 10 - Prob. 60P Ch. 10 - Prob. 61P Ch. 10 - Prob. 62P Ch. 10 - Prob. 63P Ch. 10 - Prob. 64P Ch. 10 - Prob. 65P Ch. 10 - Prob. 66P Ch. 10 - Prob. 67P Ch. 10 - Prob. 69P Ch. 10 - Prob. 70P Ch. 10 - Prob. 71P Ch. 10 - 72. A 6.8-kg bowling ball is attached to the end...Ch. 10 - Prob. 73P Ch. 10 - Prob. 74AP Ch. 10 - Prob. 75AP Ch. 10 - Prob. 76AP Ch. 10 - Prob. 77AP Ch. 10 - Prob. 78AP Ch. 10 - Prob. 79AP Ch. 10 - Prob. 80AP Ch. 10 - Prob. 81AP Ch. 10 - Prob. 82AP Ch. 10 - Prob. 83AP Ch. 10 - Prob. 84AP Ch. 10 - Prob. 85AP Ch. 10 - Prob. 86AP Ch. 10 - Prob. 87AP Ch. 10 - Prob. 88AP Ch. 10 - Prob. 89AP Ch. 10 - Prob. 91AP

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