Question

4. 5. Moving with Constant Acceleration, PHYS 151 1. Take several objects of different masses, but all relatively heavy, and drop them together. Do they all fall together, or do some objects fall significantly faster than others? 2. Drop a piece of paper. How is its behavior different from the others? 3 Why does the paper behave differently from the other objects? Get the timer tape (a long, skinny piece of paper with little dots on it). This was attached to a heavy object that was dropped. The paper tape ran through a device that made dots on it every 0.025 s, so it gives the location of the heavy object as time goes on. Find the end of the tape that shows the beginning of the drop. This is the end that has the masking tape on it. Mark the start on your tape. (It may not be clear exactly which dot of a cluster at the start is the actual start. If so, just pick one of them.) Then measure from the start to each subsequent dot. 6. Make a table of times and distances for the falling object. 7. Graph the position of the falling object using LoggerPro and fit the curve appropriately. (You should have a significant curve, if you do not, you have done something wrong.) Explain what the parameters of the fit (A,B,C) mean. 8. Calculate the velocity during each time interval by dividing the distance between each dot and the next by the time between dots. Calculate the uncertainty in each velocity measurement. (You may assume that the times are exact; they aren't, but you know them much better than the distances.) 9. Graph the velocity of the falling object and fit the curve appropriately. Explain what the parameters of the fit mean. 10. Calculate the acceleration during each time interval by dividing the increase in velocity by the time between dots. Calculate the uncertainty in each acceleration measurement 11. From your acceleration data, it is difficult to determine whether the acceleration is constant. Why? 12. Graph the acceleration vs time data. Fit it to the function y = A + x - X, which will give you a flat line - a constant acceleration. Is it plausible that the acceleration is constant? What is your best guess as to the value of the acceleration? If the acceleration is constant, the velocity changes steadily as time goes on. What does a velocity-time graph look like if the acceleration is constant? 14. According to your velocity graph, was the acceleration constant? What was the value of the acceleration from this graph? 15. According to your position graph, was the acceleration constant? What was the value of the acceleration from this graph? 13

Answer 1

As per HomeworkLib QA guidelines Im allowed to answer only the first question.

1) Objects of different masses when dropped together from same height would theoretically reach the ground at the same time. This is because , velocity of a constantly accelerated motion is given by v = u + at and here, it is evidently not dependent on the masses of the bjects and since they are all dropped , initial vel, u=0 for all masses. and acceleration is g which is given by g= GM/R^2 ,G- universal gravitational const, M- mass of earth, and R - radius of earth hence g is constant for all masses on earth. hence velocity of the masses are same at all times. hence, distance covered by them will also be same at all times.And hence as per theory, all masses should reach the ground at exact same times.

But in real world situations, there will be other factrs such as air resistance and wind etc So, if all the outside factors can be neglected, they reach ground at same time irrespective of their masses.