A.) For letter a, we use the law of universal gravitation using the constant G = 6.674×10−<span>11 m3</span>⋅kg−1⋅s−<span>2
Grav. F = G*m1*m2*(1/d^2)
m1 is mass of electron = </span>9.11 × 10-31<span> kg
m2 is mass of proton = </span>1.67 × 10<span>-27 kg
d = 4.5 nm = 4.5 x 10^-9 m
Grav F = 5.01 x 10^-51 N
b.) </span>For letter b, we use the Coulomb's using the constant k = 9×10^9 N
Electric force = k*Q1*Q2*(1/d^2)
Q1 is charge of electron = -1.6 × 10-19 C
Q2 is charge of proton = +1.6 × 10-19 C
Electric force = 1.14 x 10^-11 N
No, since their gravity is powerful enough to keep them together even while the universe expands as a whole. Space is not expanding within clusters of galaxies.
<h3>What is a galaxy?</h3>
A galaxy is a massive clump of gas, dust, and billions of stars and their solar systems bound together by gravity.
No, since their gravity is powerful enough to keep them together even while the universe expands as an entire.
Hence,space is not expanding within clusters of galaxies.
To learn more about the galaxy, refer to the link;
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The speed of the tennis ball is 8 km/h when Alana throws the ball behind at the speed of 11 km/h.
<h3>What is the
frame of
reference?</h3>
It is a point from where the motion is observed. The speed changes with the frame of reference.
For the person standstill on the sidewalk, If Alana throw the ball in the front direction, The speed will be,
19+11 = 30 km/h
It Alana just leave the ball, the speed,
19 +0 = 19 km/h
If Alana throws the ball behind her at the speed of 19 km/h. The speed of the ball for a sidewalk observer,
19 +(-19 ) = 0 km/h
Thus, when Aana throw the ball behind the velocity will be negative,
So,
19 + (-11 ) = 8 km/h
Therefore, the speed of the tennis ball is 8 km/h when Alana throws the ball behind at the speed of 11 km/h.
Learn more about Frame of reference:
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Answer:
-2.79 x 10²J
Explanation:
using the pressure volume work formula which states that
work = -PΔV
= -(1.0 atm) (2.7-0.0)L = -2.7L . atm
Convert litre.atmosphere to Joules.
1 L . atm = 101.325 joules
-2.75 L .atm = -2.75 x 101.325 = -278.64375 =
Work = -2.79 x 10²J
Answer:
a)
, b)
, c) 
Explanation:
a) The equation of state for ideal gas is:

Given the existence of an isothermal process, the following relation is derived:

The volume of the other tank is:



The total volume is:



b) The total mass is:



c) The pressure of the gas in the two tanks is:


