1) What does the figure below imply? X and Y follow a clear linear relationship.
ID: 1636018 • Letter: 1
Question
1) What does the figure below imply?
X and Y follow a clear linear relationship.
X and Y follow a quadratic (2nd order polynomial) relationship.
X and Y follow both a linear and quadratic relationship.
X and Y are unlikely to be correlated.
None of the above.
2) Suppose you are going to determine the mass of a glass-made triangular prism by measuring the density and volume: m = V. You found the errors on and V to be =±0.9 g/cm3 and V=±0.3 cm3. Your calculations reveal the mean of the mass to be 10.018156 g and the uncertainty is ±0.0012 g.
You would …
report it as m±m = 10.018156 ± 0.0012 [g]
report it as m±m = 10.0181 ± 0.0012 [g]
double-check the calculations on m because it doesn't make sense
double-check the calculations on m because it doesn't make sense
3) You are part of the exploratory team on a newly discovered Planet X. Its mass and size have been estimated and indicated that on its surface you would feel exactly 1/5 of gravity on Earth. Your group measured the gravitational acceleration on X using a simple, classical physics experiment. Which of the following results would not lend support to the estimated gravity? Note g=9.8 m/s2 on Earth.
3.3 ±1.5 m/s2
2.00 ±0.11 m/s2
2.66 ±0.61 m/s2
1.96 ±3.56 m/s2
2.52 ±0.01 m/s2
4) You measured X as 0.01 ± 0.82 and your partner measured it as -0.05 ± 1.25, both results obtained by using the same apparatus. Can you trust your partner’s measurement? Note that your partner's and your measurements have the same units.
Yes, because our results are very close to each other with nearly the same magnitude.
Yes, because we used the same apparatus for the measurements.
No, because your partner's result has a negative sign.
No, because the uncertainty is way larger than the mean values.
5) Your assignment is to use the Kepler’s 3rd law to estimate the orbital period, T, of Mercury. Your group’s measurements of T was 62 ± 29 [days] and the other group measured it as 105 ± 33 [days] on average. The expected period is T = 88 [days].
One of your group members said that the two groups’ results grossly disagree with each other. Therefore, the experiment fails and the Kepler’s 3rd law may be false. You would say…
Yes, because your partner's and your mean of T are both far from the expected T.
Yes, because the uncertainty is simply too large.
No, because the measurements from both groups are still in agreement with the expected T within the uncertainty.
No, because the measurements from both groups are likely being affected by 'human error' or calculation errors, which give the large uncertainties.
A.X and Y follow a clear linear relationship.
B.X and Y follow a quadratic (2nd order polynomial) relationship.
C.X and Y follow both a linear and quadratic relationship.
D.X and Y are unlikely to be correlated.
E.None of the above.
Explanation / Answer
1) Figure does not open.
2) (D) Double check the calculations on del m because it doesnt make sense.
We see that the uncertainties for density and volume are given. According to these, the uncertainties for mass should be much higher than the calculation result given (0.0012 g). So double check is needed.
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