Answer:
The answer is below
Explanation:
a) The volume of a sphere is:
Volume = (4/3)πr³; where r is the radius of the shell.
Given the outside radius of 2.60 cm and inner radius of a cm, the volume of the spherical shell is:
Volume of spherical shell = 
cm³
But Density = mass / volume; Mass = density * volume.
Therefore, mass of spherical shell = density * volume
mass of spherical shell = 
* cm³
Mass of liquid = volume of inner shell * density of liquid
Mass of liquid = 
Total mass of sphere including contents = mass of spherical shell + mass of liquid
Total mass of sphere including contents (M) = * 
+ =
Total mass of sphere including contents (M) = (346 - 14.5a³) grams
b) The mass is maximum when the value of a = 0
M = 346 - 14.5a³
M' = 43.5a² = 0
43.5a² = 0
a = 0
Answer:
a) r = 4.22 10⁷ m, b) v = 3.07 10³ m / s and c) a = 0.224 m / s²
Explanation:
a) For this exercise we will use Newton's second law where acceleration is centripetal and force is gravitational force
F = m a
a = v² / r
F = G m M / r²
G m M / r² = m v² / r
G M / r = v²
The squared velocity is a scalar and this value is constant, so let's use the uniform motion relationships
v = d / t
As the orbit is circular the distance is the length of the circle in 24 h time
d = 2π r
t = 24 h (3600 s / 1 h) = 86400 s
Let's replace
G M / r = (2π r / t)²
G M = 4 π² r³ / t²
r = ∛(G M t² / (4π²)
r = ∛( 6.67 10⁻¹¹ 5.98 10²⁴ 86400² / (4π²)) = ∛( 75.4 10²¹)
r = 4.22 10⁷ m
b) the speed module is
v = √G M / r
v = √(6.67 10⁻¹¹ 5.98 10²⁴/ 4.22 10⁷
v = 3.07 10³ m / s
c) the acceleration is
a = G M / r²
a = 6.67 10⁻¹¹ 5.98 10²⁴ / (4.22 10⁷)²
a = 0.224 m / s²
For the same reason that you can skate around a curve at constant speed but not with constant velocity.
The DIRECTION you're going is part of your velocity, but it's not part of your speed.
If the DIRECTION changes, that's a change of velocity.
The object doesn't have to change speed to have a different velocity. A change of direction is enough to do it.
And any change of velocity is called acceleration.
Answer:
Explanation:
Compression
The region in a medium where the distance between the vibrating molecules is minimum is compression.
This is the region with higher air pressure than the surrounding .
Rarefaction
The region in a medium where the distance between the vibrating molecules is maximum is rarefaction.
This is the region with relatively low air pressure.
hope it helps :)
