7.03 Lab

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Ohio University, Main Campus *

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2001

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Physics

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Dec 6, 2023

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Name: Amanda Barnes Date: Graded Assignment Lab Report: Motion in Two Dimensions Answer each question, using complete sentences. When you have finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 25 points Motion in Two Dimensions 1 (Score for Question 1: ___ of 5 points) Is the relationship between velocity and centripetal force a direct, linear relationship or is it a nonlinear square relationship? Explain the answer using your graphs of and . What is the precise mathematical relationship between velocity and centripetal force? Answer: A nonlinear square relationship exists between velocity and centripetal force. When discussing a graph, a straight line is referred to as linear. Since our graph does not show a straight line, we can infer that the relationship is not linear. Additionally, we know from the formula that the centripetal force and velocity have an exact mathematical relationship where the centripetal force is directly proportional to the square of the velocity. Type your answer here. (Score for Question 2: ___ of 4 points) For Part 1, which of your two graphs verifies that? Is this relationship a linear relationship? Compare the equation for a line through the origin, y = mx, to the equation, and explain what the slope of the graph of represents. Remember that the m in the equation for a line represents the slope, and the m in the centripetal force equation represents the mass of the stopper. Answer: Our equation demonstrates that the Centripetal Force and the square of velocity have a direct relationship. That is, as one is increased, the other increases as well, because r is constant in that case. This is confirmed by our centripetal force vs velocity square graph, where we can see the direct relationship between the points and the graph will give us a straight line as we plot the points. This indicates a linear relationship. The graph of the equation y=mx has a line with a positive slope that passes through the origin where y is proportional to x and the proportion constant is m. We can see that the centripetal force and the velocity squared are also proportional. Because the v squared by r equals centripetal acceleration, we can say that the centripetal force is proportional to centripetal acceleration, where m is the constant. Fc=mAc The slope of Fc/v2 is essentially m, which represents mass/r, which is radius. As a result, the slope of the graph for the equation Fc vs. v2 can be calculated. The mass-to-radius ratio (length of the chain in this case). Type your answer here. (Score for Question 3: ___ of 4 points) If you shorten the length of the chain, keep other variables constant, and repeat the experiment, how will the centripetal force change? Explain the relationship between centripetal force and the length of the chain. Answer: According to our equation, centripetal force is inversely proportional to the radius or length of the chain in our case. So, if we keep all of the variables constant and only change the r value by decreasing it. This means that for an object of the same mass and velocity, a greater centripetal force will be required. Type your answer here.
Motion in Two Dimensions 2 (Score for Question 4: ___ of 6 points) Complete the tables. Answer: Test 1 Degree of elevation _ 4.7 _________ Length of roll (cm) Average drop time (s) Average distance the ball traveled (m) Horizontal velocity (m/s) 0 0.066 0.36 5.6 18 0.055 0.40 7.3 36 0.035 0.56 16 Test 2 Degree of elevation __ 4.7___ _____ Length of roll (cm) Average drop time (s) Average distance the ball traveled (m) Horizontal velocity (m/s) 54 0.030 0.68 22.6 72 0.029 0.72 24.8 90 0.021 0.74 35.2 (Score for Question 5: ___ of 6 points) For each angle of elevation, what is the relationship between the velocity of the ball and the distance (x) that the ball traveled? Answer: What we can say is that the ramp's angle could have determined the ball's speed, which increased proportionally. The table shows that the length of the ramp did have an effect on the average distance traveled by the ball. We can see that the further the ball was brown, the further it had traveled when it arrived at the ground. This is because as the ball's speed increased, so did the kinetic energy acting on it, and as the kinetic force increased, so did the friction force.The angle of elevation determines how quickly the ball can travel down the ramp; the more slanted the ramp, the faster the ball can go through it and the greater the average distance travelled by the ball. This is how they are all connected. The greater the average drop time, the greater the average distance traveled, which resulted in a higher horizontal velocity, as horizontal velocity was calculated by dividing the average distance traveled by the average drop time. Type your answer here.
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