Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the edge, but Alice takes a running
1 answer:
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Answer:
Explanation:
Cross multiply
cross multiply
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Answer:
r = 0.86
Explanation:
Correlation coefficients are the strength of the relationship between two variables.
Correlations can indicate anywhere between
- 1 - for a strong positive relationship.
- -1 - for a strong negative relationship.
- 0 - for no relationship at all.
Looking at sample correlation coefficient formula which says
=
÷ (
×
)
where and
are the sample deviations and
is the sample covariance, all of which will remain the same for Maria and John.
Hence, John's correlation will be approximately 0.86 since he would have approximately the same measurement as Maria's measurement when Maria's measurement is converted from centimeters to inches.
Answer:
a) F₃₁ = 63.0 μN
b) F₃₂ = - 14.0 μN
c) q₂ = - 5.0 nC
Explanation:
a)
- Assuming that the three charges can be taken as point charges, the forces between them must obey Coulomb's Law, and can be found independent each other, applying the superposition principle.
- So, we can find the force that q₁ exerts along the x-axis on q₃, as follows:
b)
- Since total force exerted by q₁ and q₂ on q₃ is 49.0 μN, we can find the force exerted only by q₂ (which is along the x-axis only too) just by difference, as follows:
c)
- Finally, in order to find the value of q₂, as we know the value and sign of F₃₂, we can apply again the Coulomb's Law, solving for q₂, as follows: