Theoretical questions: 3. Suppose that when you measured D, you measured the rul
ID: 1882594 • Letter: T
Question
Theoretical questions: 3. Suppose that when you measured D, you measured the ruler at a slight angle, rather than straight across. (If you wanted to 4. Suppose that when you dropped the ruler, it was rotated slightly from vertical in the plane of the ruler (such that the "front view 5. Suppose that when you dropped the ruler, it was rotated slightly from vertical out of the plane of the ruler (such that the "side 6. Suppose that when you dropped the ruler, it was rotated slightly around the vertical axis (such that it's still vertical, but not exaggerate this effect, suppose you measured the length from one corner to the opposite corner.) How would this affect your final measurement of g-would you overestimate g, underestimate it, or neither? Explain your answer of the ruler was at an angle, but the-side view. was straight). How would this affect your final measurement of g-would you overestimate g, underestimate it, or neither? Explain your answer view" of the ruler now had the ruler at an angle, but the "front view" was straight). How would this affect your final measurement of g would you overestimate g, underestimate it, or neither? Explain your answer perpendicular to the photogate beam). How would this affect your final measurement of g- would you overestimate g underestimate it, or neither? Explain your answer Question 6 Question 5 Question 4
Explanation / Answer
Hey, I'm lacking some context here because the first 2 parts are absent. I have tried to explain here with basic knowledge of the standard experiment. This is a bit confusing and so doubts are natural. Feel free to ask them in the comments section. Also give this answer a thumbs up. It helps a lot
3. D is the distance from the leading edge of the first black tape to the leading edge of the final black tape. If you measured the length from one corner to the opposite corner, you over estimate the length. Let's call the over estimated length D1. Now you drop the ruler straight, and measure the time it takes the ruler to pass through. Now we conclude that the ruler has travelled D1 length in time t, but in reality it has only travelled D length in time t. So we end up with a larger measured velocity D1/t and therefore a larger acceleration. We overestimate g
4. In this part, we drop the ruler at an angle 'x' rotated about axis 4. So the length of the ruler increases to D1=D/cos(x) from the actual length D. In the experiment you measure the time it takes the ruler to fall through the detection points. Because of the longer length, it takes longer time 't1' to fall through the detection points. But we initially measured the correct value of D. So we end up calculating velocity D/t1 which is smaller than it actually should be, and thus under estimate the value of g
5. When rotated by an angle 'x' about axis 5 and then dropped, the length which passes through the detector is D2=Dcos(x) is less than the actual length D. Therefore we measure a smaller time t2. Then we calculate the velocity as D/t2 which is larger than what should actually be measured, we overestimate g
6. Finally rotating about axis 6, does not change the length that travels through the detector. And so the time measured by the detector is accurate and we get the correct value of g
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