Answer:
m = 1.82E+23 kg
Explanation:
G = universal gravitational constant = 6.67E-11 N·m²/kg²
r = radius of orbit = 72,600 km = 7.26E+07 m
C = circumference of orbit = 2πr = 4.56E+08 m
P = period of orbit = 12.9 d = 1,114,560 s
v = orbital velocity of satellite Jim = C/P = 409 m/s
m = mass of Xandar = to be determined
v = √(Gm/r)
v² = [√(Gm/r)]²
v² = Gm/r
rv² = Gm
rv²/G = m
m = rv²/G
mG = universal gravitational constant = 6.67E-11 N·m²/kg²
r = radius of orbit = 72,600 km = 7.26E+07 m
C = circumference of orbit = 2πr = 4.56E+08 m
P = period of orbit = 12.9 d = 1,114,560 s
v = orbital velocity of satellite Jim = C/P = 409 m/s
m = mass of Xandar = to be determined
v = √(Gm/r)
v² = [√(Gm/r)]²
v² = Gm/r
rv² = Gm
rv²/G = m
m = rv²/G
m = 1.82E+23 kg
Physical forms are: gas,liquid,and solid
Answer:
The gravitational force exerted on the object is 75 N (answer D)
Explanation:
Hi there!
The gravitational force is calculated as follows:
F = m · g
Where:
F = force of gravity.
m = mass of the object.
g = acceleration due to gravity (unknown).
For a falling object moving in a straight line, its height at a given time can be calculated using the following equation:
y = y0 + v0 · t + 1/2 · a · t²
Where:
y = position at time t.
y0 = initial position.
v0 = initial velocity.
t = time.
g = acceleration due to gravity.
Let´s place the origin of the frame of reference at the point where the object is released so that y0 = 0. Let´s also consider the downward direction as negative.
Then, after 2 seconds, the height of the object will be -30 m:
y = y0 + v0 · t + 1/2 · g · t²
-30 m = 0 m + 0 m/s · 2 s + 1/2 · g · (2 s)²
-30 m = 1/2 · g · 4 s²
-30 m = 2 s ² · g
-30 m/2 s² = g
g = -15 m/s²
Then, the magnitude of the gravitational force will be:
F = m · g
F = 5 kg · 15 m/s²
F = 75 N
The gravitational force exerted on the object is 75 N (answer D)
Have a nice day!
Answer:
There is 148.35 Joules of heat is released in the process.
Explanation:
Given that,
Heat capacity of the object, 
Initial temperature, 
Final temperature, 
We need to find the amount of heat released in the process. It is a concept of heat capacity. The heat released in the process is given by :
Let the mass of the object is 10 g or 0.01 kg
So,
Q = 148.35 Joules
So, there is 148.35 Joules of heat is released in the process. Hence, this is the required solution.
