Copy of Lab_ Mass and acceleration of a system.

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Mechanical Engineering

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Jan 9, 2024

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Name(s): Eddie Elias, Caleb Callan, Fischer Whitehead Period: 6 Lab 4.3: measuring mass and acceleration of a system. (11 questions) Using the frictionless cars and the “Vernier Graphical Analysis” app, measure the acceleration of the car with different masses on top of it. Do not change the hanging mass. 1. Hanging mass (the mass hanging from the string) is: 5 g This stays constant. Do not change it. 2. Make a table and a graph comparing both. Measure and account for the mass of the cart, plus the masses you add to it. Add another column in which you add the inverse of the mass. (See instructions for data collection below the table) Data set Mass of cart Added mass Total mass Inverse of Acceleratio n Mass Kg Kg Kg 1/kg m/s^2 1 .286 0 .286 3.49 .1249 2 .286 .02 .486 2.057 .12 3 .486 .05 .491 2.04 .09511 4 .491 .1 .591 1.69 .07018 5 .591 .1 .691 1.45 .05582 6 .691 .03 .694 1.44 .05133 7 .694 .2 .894 1.19 .03066 8 .894 .1 .984 1.01 .02318 9 .984 .1 1.084 .923 .02134 10 1.084 .1 1.184 .844 .01818 How to collect the data for the table: Mass of cart: Measure the cart on a scale. Convert to Kg. That stays constant.
Added masses: The amount of mass you add to the cart, never more than 500g or 0.5 Kg. Always write it in kilograms. Total mass : Add the mass of the cart to the mass you add. This is the total mass in motion. Inverse of the mass: 1 / Total mass. Acceleration: Pair your cart via Bluetooth to your Vernier Graphical analysis so±ware. Hit “Collect” and release the car. Graph the Velocity of the car in the “X-direction” and get the slope of that line. That is the acceleration for that particular mass. 3. Graph 1: Make a graph, using graphical so±ware. Total mass in the “x” (horizontal) and the acceleration in the “y” (Vertical) and insert it here. [Insert graph 1] 4. What kind of graph is that?
This is a negative slope graph because the graph of the line falls from le± to right. 5. What kind of relationship does the data have? If the slope is negative, then there is a negative slope relationship: as one increases the other variable decreases. 6. Graph 2. Make another graph in which you graph the “inverse of the mass” (1/kg) in the x (horizontal) axis and the acceleration in the y (vertical) axis. [Insert it here]
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7.- What kind of graph is that? This is a positive slope graph because the graph of the line rises from le± to right. 8.- What kind of relationship does it have? If the slope is positive, then there is a positive linear relationship: as one increases, the other increases. 9. Do a linear fit to this last graph. What is the value slope? A±er doing a linear fit to this last graph, the value of the slope is 0.07627. 10. What are the units of this slope? The units of the slope are m/s^2/1/kg. 11. (BONUS) What does the slope represent? What could you change to change the value of that slope? The slope in a velocity-time graph shows how quickly an object is speeding up or slowing down, which is its acceleration. To change the slope, you can either apply more force to the object, change its mass, or start it with a different initial speed.