As shown in the figure, a coordinate system with the origin at the equilibrium position is chosen so that the x coordinate represents the displacement from the equilibrium position. (The positive direction is to the right.) What is the initial acceleration of the block, a0, when the block is released at a distance A to the right from its equilibrium position? What is the acceleration a1 of the block when it passes through its equilibrium position? A vertical spring scale can measure weights up to 155 N . The scale extends by an amount of 10.0 cm from its equilibrium position at 0 N to the 155 N mark. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.85 Hz . Ignoring the mass of the spring, what is the mass m of the fish? Agent Arlene devised the following method of measuring the muzzle velocity of a rifle (the figure below). She fires a bullet into a 4.198-kg wooden block resting on a smooth surface, and attached to a spring of spring constant k = 160.4 N/m . The bullet, whose mass is 7.870 g, remains embedded in the wooden block. She measures the maximum distance that the block compresses the spring to be 9.460 cm . What is the speed v of the bullet?

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As shown in the figure, a coordinate system with the origin at the equilibrium position is chosen so that the x coordinate represents the displacement from the equilibrium position. (The positive direction is to the right.) What is the initial acceleration of the block, a0, when the block is released at a distance A to the right from its equilibrium position? What is the acceleration a1 of the block when it passes through its equilibrium position?  A vertical spring scale can measure weights up to 155 N . The scale extends by an amount of 10.0 cm from its equilibrium position at 0 N to the 155 N mark. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.85 Hz . Ignoring the mass of the spring, what is the mass m of the fish? Agent Arlene devised the following method of measuring the muzzle velocity of a rifle (the figure below). She fires a bullet into a 4.198-kg wooden block resting on a smooth surface, and attached to a spring of spring constant k = 160.4 N/m . The bullet, whose mass is 7.870 g, remains embedded in the wooden block. She measures the maximum distance that the block compresses the spring to be 9.460 cm . What is the speed v of the bullet? 
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Transcribed Image Text:imy ww M m 9.460 cm M+m
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