Construct the confidence interval for the population mean. c=. 95 x=6. 4 o=. 3 and n=42.
1 answer:
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Answer:
Electric force = 8.20x10⁻⁸ N
Gravitational force = 3.61x10⁻⁴⁷ N
Step-by-step explanation:
1. The electric force can be found using the following equation:
Where:
K: is the Coulomb's constant = 9x10⁹ N.m²/C²
: is the charge of the proton = 1.6x10⁻¹⁹ C
: is the charge of the electron = -1.6x10⁻¹⁹ C
d: is the distance = 5.3x10⁻¹¹ m
Hence, the magnitude of the electric force is:
2. The gravitational force can be calculated as follows:
Where:
: is the electron's mass = 9.1x10⁻³¹ kg
: is the proton's mass = 1.67x10⁻²⁷ kg
G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²
Therefore, the gravitational force is:
As we can see, the gravitational force is much less than the electric force.
I hope it helps you!
Answer:
<NPM + <NZM = 146°
Step-by-step explanation:
Given:
In triangle STU: M, N and P are the midpoints of the line TU, US and ST respectively.
Line UZ is the altitude of the triangle STU
<TSU =71°, <TSU = 36°, <TUS = 73°
From the diagram:
N is the midpoint of line SU and M is the mid point of line UT.
∴ Line NM is parallel to line ST
P is the mid point of line ST and M is the mid point of line UT
∴Line PM is parallel to line SU
N is the mid point of line SU and P is the mid point of line ST
∴Line NP is parallel to line UT
Δ SPN = Δ STU = 36°
<SPN + <NPM + <MPT (Sum of angles in a triangle = 180°)
<UST = <MPT = 71°
36° + <NPM + 71° = 180°
<NPM + 107° = 180°
<NPM= 180°-107°
<NPM= 73°
In ΔSNZ, line SN = line NZ
∴ side SN = side NZ
< NSZ = <NZS = 71°
<MTZ = <MZT = 36°
<NZS + <NZM <MZT = 180° (Sum of angles in a triangle = 180°)
71° + <NZM + 36° = 180°
107° + <NZM = 180°
<NZM = 180° - 107°
<NZM = 73°
<NPM + <NZM =73° + 73°
<NPM + <NZM = 146°
