lab report 5 questions

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The City College of New York, CUNY *

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201

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Physics

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Dec 6, 2023

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docx

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Uploaded by chris20032523

Christopher Herrera Little G Lab Report Introduction: The main idea behind the experiment is to investigate the conservation of linear momentum. By rolling the steel ball down the ramp and observing its collision with the wooden block, you'll be able to analyze how momentum is transferred and conserved in the system. This concept of momentum conservation is essential in understanding various real-world scenarios, such as car accidents, sports collisions, and even the motion of celestial bodies. By studying momentum, scientists can better understand and predict the outcomes of these events. It's fascinating how principles from physics can be applied to everyday situations and help us make sense of the world around us. Procedure: Measure the ball's velocity: First place the block out of the way from the path of the steel ball. Once it is set up the steel ball will be rolled down the ramp from the highest point. Measure the height from where the ball leaves the ramp as well as the distance from the ramp the ball lands. Repeat this ten times and next record your measurements. Then use the kinematic equations and a ruler to determine the height and horizontal distance. Collide ‘em: A scale is used to determine the mass of the steel ball. Mounting the slider guide and slider into the box, the block is then suspended over the box an appropriate distance from the track as to allow the ball to hit it on its descent but not obstruct the ball too much. The block should hang freely with zero velocity. The conservation of energy equation is used to find the vertical distance of the system after the collision. To determine the distance traveled, the slider is positioned so that the block at the end of its swing barely touches the slider. Note the position of the slider and calculate distance x. DATA/CALCULATIONS/QUESTIONS: Report Question 1 Now we have two ways to calculate the uncertainty of an experimental measurement. The first simply looks at the average of the uncertainties over repeated measurements, as you did in the first lab. The new method uses the standard deviation. How do multiple measurements of d change the uncertainty? Compare the uncertainties in the velocity of the ball using these two different methods. Report Question 2 Within the limits of your experimental accuracy, is momentum conserved during the collision?

Momentum is always conserved during a collision, as long as no external forces interfere. It's one of the fundamental principles of physics. Report Question 3 Derive equation (1), starting from general physics principles. Equation (1) represents the conservation of linear momentum, which states that the total momentum of a closed system remains constant if no external forces act upon it.To derive this equation, we start by considering the initial momentum (before the collision) and the final momentum (after the collision) of the system.The initial momentum can be calculated as the product of the mass (m) of the ball and its initial velocity (v_initial). The final momentum can be calculated as the product of the total mass (m + M) of the system (ball + wooden block) and its final velocity (v_final), where M is the mass of the wooden block. Now, according to the principle of conservation of linear momentum, the initial momentum must be equal to the final momentum. Therefore, we can express this as: m * v_initial = (m + M) * v_final This equation (1) demonstrates the conservation of linear momentum in the collision between the ball and the wooden block. Report Question 4 From your results, compute the fractional loss of kinetic energy of translation during impact. Disregard rotational energy of the sphere. Report Question 5 From your results, compute the fractional loss of kinetic energy of translation during impact. Disregard rotational energy of the sphere.

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