Answers
Answer:
The answer is "[tex]5.184 \times 10^{23}[/tex] kg"
Explanation:
Given:
[tex]g= 6.003 \ \frac{m}{s^2}\\\\G= 6.67 \times 10^{-11} \ \frac{N - m^2}{kg^2}\\\\M=?\\\\radius= 2,400 \ km\\\\[/tex]
Calculating diameter:
[tex]Diameter =radius \times 2[/tex]
[tex]=24\times 10^5 \times 2\\\\=48 \times 10^5 \ m[/tex]
The formula for mass calculation:
[tex]\to g = G \times \frac{M}{(\frac{d^2}{4})}\\\\\to g=G\times \frac{4M}{d^2}\\\\\to 4M= \frac{g \times d^2}{G} \\\\\to M= \frac{g \times d^2}{4G} \\\\[/tex]
[tex]=\frac{6.003 \times (48 \times 10^{5})^2}{4 \times 6.67 \times 10^{-11}}\\\\=\frac{6.003 \times 2,304 \times 10^{10}}{26.68\times 10^{-11}}\\\\=\frac{13,830.912 \times 10^{10}}{26.68\times 10^{-11}}\\\\=518.4 \times 10^{21}\\\\= 5.184 \times 10^{23}\\\\[/tex]
Related Questions
define unit aland how many types of unit are there . Name them?
Answers
Answer:
7. They arethe meter (m), the kilogram (kg), the second (s), the kelvin (K), the ampere (A), the mole (mol), and the candela (cd)
Explanation:
7. They arethe meter (m), the kilogram (kg), the second (s), the kelvin (K), the ampere (A), the mole (mol), and the candela (cd)
Diana hangs a lead cylinder with a force of 12 N from a model bridge.
Which vector(s) accurately illustrates the reaction force of the bridge on the lead cylinder?
Answers
The action and reaction law allows us to find that the reaction force, the weight of the cylinder, is:
12 N force directed upward
Newton's third law or action and reaction law, establishes that if two bodies interact with each other the force that one applies to the other, is equal in magnitude to the force of the second on the first but in the opposite direction, that is, all forces act in pairs one in each body that interact.
Forces with these characteristics are called action and reaction.
In this case we have a hanging cylinder, with the cylinder it has mass so the weight is 12 N it acts on the table in a downward direction, let's say this is the action force.
In response to this force, the table exerts a force on the cylinder of equal magnitude but in the opposite direction, which is why it is directed upwards.
let's analyze the force diagram
When analyzing the forces shown in the diagram, the forces of equal magnitude to the weight are the first twoThe weight is directed downward, the answer must be directed upward.
In conclusion using theaction and reaction law we find that the answer for reaction force is:
12 N force directed upward
Learn more about the action and reaction law here:
https://brainly.com/question/22746565
Help me please help me it’s due today
Answers
But I’m case it’s series circuit then if one of the circuit is removed then all the bulbs will turn off because there is only one path for the current to flow
Answer:
Explanation:
A) The function of a switch is to shut the circuit down. There is a current flow of zero. Press the switch again and the circuit works.
Answer: D
B) a. This is a parallel circuit. It is the way all house wiring works.
B) b. Nothing happens. The other two bulbs continue on as before until someone presses the switch.
Which of the following charts correctly compares plant and animal cells?
Answers
Answer:
Wheres the charts??
Explanation:
HELP ASAP!!!! Ashley and Rachel are driving bumper cars. Ashley's bumper car is moving and she collides with Rachel bumper car, which is not moving. Describe what happens to the momentum of both cars During this collision.
Answers
Answer:
Rachels car moves and ashleys stops
Explanation:
When Ashley's moving car collides with Rachel's bumper car which is at rest then some of the momentum of Ashley's car is transferred to Rachel's car causing it to move.
What is the conservation of momentum?Conservation of momentum states that the momentum of a system is constant if there is the absence of external forces on the system. The momentum of an object can be conserved and is a vector quantity.
Momentum can be defined as the multiplication of the mass of a particle and its velocity. The law of conservation of momentum is confirmed by experiment and can be deduced mathematically on the presumption that space is uniform.
Conservation of linear momentum is derived from Newton’s second law of motion states that the total momentum remains the same in an isolated system.
The total momentum of Ashley's car and Rachel's car remains conserved. After the collision, the momentum transferred from Ashley's car and Rachel's car which makes it move.
Learn more about the conservation of momentum, here:
https://brainly.com/question/3920210
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Coretta feels confident in her abilities, and she frequently makes contributions to her local community. Based on this information, what can you assume is true about Coretta?
A She has good emotional health.
B She makes self-esteem a priority.
C She recently improved her mental health.
D She exercises at least twice a day.
Answers
Answer:
A She has good emotional health.
Explanation:
which one?? please someone quick!
Answers
Answer:
i think its second law of motion.
Explanation:
Answer:
it’s the second law
Explanation:
ANSWER QUICK!!
describe two uses for microwave radiation
Answers
heat food, warm water
What force would be needed to increase a 450 kg object's velocity from 15 m/s to 75 m/s in 1 minute?
Answers
Answer:
450N
Explanation:
Given parameters:
Mass of object = 450kg
Initial velocity = 15m/s
Final velocity = 75m/s
Time = 1min = 60s
Unknown:
Force applied = ?
Solution:
To solve this problem, from Newton's second law of motion, we know that;
Force = mass x acceleration
Acceleration = [tex]\frac{v - u }{t}[/tex]
v is the final velocity
u is the initial velocity
t is the time taken
Now;
Force = mass x [tex]\frac{v - u }{t}[/tex]
Force = 450 x [tex]\frac{75 - 15}{60}[/tex] = 450N
Colette launches an air rocket in the upward, positive direction. It launches
with an initial velocity of 25.5 m/s. It accelerates in the downward, negative
direction at a rate of 9.81 m/s2. After 3.5 seconds, what is the magnitude of
the rocket's displacement?
A) 29 meters
B) 31 meters
C) –150 meters
D) 150 meters
Answers
Answer:
b
Explanation:
Answer:
The answer is A) 29 meters
Explanation:
I got this question right on the test! :)
What is the minimum number of days per week you should exercise?
Answers
Answer:
Three days per week on average
Explanation:
I'd say 3 days at least to be healthy
the strongly blown ballon gets blasted why?
Answers
Answer:
Because of pressure.
Thanks
Explanation:
The pressure bursts out the balloo
How can you double the acceleration of an object if you cannot alter the object’s mass?
plz helpppp
Answers
Answer:
If you double the force, you double the acceleration, but if you double the mass, you cut the acceleration in half.
Explanation:
you can double the net force
What type of energy is stored in a pendulum at the top of its arc?
Answers
Answer:
potential
Explanation:At this point the energy is stored in a form called potential energy. This means that the system has the potential to do work or to become active thanks here to the weight's position high above the lowest point of its swing.
bold completed over 100m in 9.58
seconds what is his average speed
Answers
Answer:
At the Berlin 2009 World Championships, Bolt set a world record time of 9.58 seconds for the 100m race, notching a top speed of 27.8 miles per hour (44.72 kilometers per hour) between meters 60 and 80, with an average speed of 23.5 mph.
Explanation:
3. If I run 150m in 30 seconds, what speed will I have been running at?
Answers
Answer:
speed = distance/time
Explanation:
speed = 150/30
speed =5m/s
you were running fast .....5m/s is a good speed
Jack jumped off a diving board and hit the water at 15.68 m/s downward. How long was he falling for before he hit the water?
Answers
Answer:
1.6 s
Explanation:
From the question given above, the following data were:
Velocity (v) = 15.68 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
Thus, we can calculate the time taken for Jack to hit the water by using the following formula:
v = gt
15.68 = 9.8 × t
Divide both side by 9.8
t = 15.68 / 9.8
t = 1.6 s
Therefore, it took Jack 1.6 s to hit the water.
when it comes to graphs I am no genius lol
Answers
Answer:
Option B
Explanation:
Displacement = Area under the velocity-time graph
So to find the displacement of a particle from 7 to 8 seconds we take the triangle and calculate its area.
[tex]Area\ of\ a\ right\ angled\ triangle = \frac{1}{2}*(base)*(height) \\\\Area\ of\ a\ right\ angled\ triangle = \frac{1}{2}*(1)*(3) \\\\Area\ of\ a\ right\ angled\ triangle = 1.5[/tex]
So the displacement is 1.5 meters
I have an uploaded image so you can understand it better hope it helps
Students are asked to design an experiment about Newton’s 2nd Law. One student decides to roll a marble down a ramp into a pile of sand to measure the force impact.
Which variable should she manipulate to best exemplify the relationship explained by this law?
A.She should use a heavier marble, because the marbles will roll at the same rate of acceleration but more mass will produce a larger impact force.
B.She should increase the slope of the ramp by propping it up to higher height, because a steeper ramp will cause a greater rate of acceleration and a larger impact force.
C.She should use a heavier marble, because a bigger marble will accelerate more quickly down the ramp and cause a greater impact force.
D.She should decrease the slope of the ramp, because a ramp with a smaller slope will allow the ball more time to build up speed and cause a greater impact force.
Answers
Answer:
A
Explanation:
Trust me I just took it !
A 2000 kg minivan runs into a 800 kg car that was at rest at a stop sign and they stick together. If the compact car does not stick to the van but, instead, causes the minivan to come to a complete stop. How fast will the car be going after the collision?
Answers
Answer:
v₂ = 2.5 v₁
car leaves at 2.5 times the speed of the minivan
Explanation:
This is an exercise of conservation of the momentum, to solve it we create a system formed by the minivan and the car, therefore during the crash the forces are internal and the momentum is conserved.
Initial instant. Before the crash
p₀ = M v₁+ 0
Final moment. After the crash
[tex]p_{f}[/tex] = M 0 + m v₂
how momentum is conserved
p₀ = p_{f}
M v₁ = m v₂
v₂ = [tex]\frac{M}{m}[/tex] v₁
let's calculate
v₂ = 2000/800 v₁
v₂ = 2.5 v₁
therefore the car leaves at 2.5 times the speed of the minivan
a cannon launches a 3.0 kg pumpkin with 110J of kinetic energy. what is the pumpkin’s speed?
Answers
Answer:
v = 8.56 [m/s]
Explanation:
The kinetic energy can be calculated by means of the following equation.
[tex]E_{k}=\frac{1}{2}*m*v^{2}[/tex]
where:
m = mass = 3 [kg]
v = velocity [m/s]
Ek = kinetic energy [J]
[tex]110 = \frac{1}{2} *3*(v^{2} )\\v^{2} = 220/3\\v=\sqrt{73.333}\\v=8.56[m/s][/tex]
How much Tension force is required to pull a 1500 kg car (it is being towed) forward with an acceleration of 3 m/s^2 if the friction force on the towed car's tires is pulling backward with a force of 2500 N?
Answers
If the pull is done horizontally, then the net force on the car is
∑ F = T - f = (1500 kg) (3 m/s²)
where T is the magnitude of the tension in the towing cable, and f is the friction which points in the opposite direction. Then
T = f + (1500 kg) (3 m/s²)
T = 2500 N + 4500 N
T = 7000 N
When a 0.622 kg basketball hits the floor, its velocity changes from 4.23 m/s down to 3.85 m/s up. If the average force was 72.9 N, how much time was it in contact with the floor?
(Unit = s)
Remember: up is +, down is -
Answers
Answer:
t = 0.0689 s
Explanation:
Given that,
Mass of a basketball, m = 0.622 kg
Initial velocity, u = 4.23 m/s (downward or negative)
Final velocity, v = 3.85 m/s (up of positive)
Average force, F = 72.9 N
We need to find the time it was in contact with the floor. The force is given by :
[tex]F=ma\\\\F=m\dfrac{v-u}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{0.622\times (3.85-(-4.23))}{72.9}\\\\t=0.0689\ s[/tex]
So, the time of contact is 0.0689 s.
A 3900 kg truck is moving at 6.0 m/s what is the kinetic energy
Answers
Answer:
70200J
Explanation:
k.E = 1/2mv^2
K.E = 1/2(3900)(6)^2
A car travels 3500 m in 200 seconds what is the car speed
Answers
Answer:
17.5 m/s
Explanation:
We can calculate the meters per second by dividing the distance by time. 3500 divided by 200 is 17.5, therefore the speed is 17.5 meters per second.
What are the two factors affect the weight of an object?
Answers
Answer:
mass and distance
Explanation:
hope this helped
Sharon is driving on a straight road. She is driving north, and her speed is
decreasing. If north is the positive direction, which of the following
statements is accurate?
A) Her velocity is positive, and her acceleration is negative.
B) Her velocity is negative, and
her acceleration is negative.
C) Her velocity is negative, and her acceleration is positive.
D) Her velocity is positive, and her acceleration is positive.
Plzz help
Answers
Answer:
b
Explanation:
b is the correct answer
Answer:
b. Her velocity is positive, and her acceleration is negative.
Explanation:
a block weighing (Fg) 50 N is resting on a steel table (us = 0.74). The minimum force to start this block moving is what N
Answers
Answer:37
Explanation:
A parallel-plate capacitor is constructed using adielectric material whose dielectric constant is 3.00 and whose dielectric strength is 2.00X108V/m. The desired capacitance is 0.250 μF, and the capacitor must withstand a maximum potential difference of 4.00 kV. Find the minimum area of the capacitor plates.
Answers
Answer:
A = 0.188 m²
Explanation:
First we find the distance between the plates by using the formula of electric field intensity:
E = ΔV/d
d = ΔV/E
where,
d = distance between plates = ?
ΔV = Potential Difference = 4 KV = 4000 V
E = Electric Field = 2 x 10⁸ V/m
Therefore,
d = 4000 V/(2 x 10⁸ V/m)
d = 2 x 10⁻⁵ m
Now, we find the Area of Plates by using formula of capacitance:
C = A∈₀∈r/d
where,
C = Capacitance = 0.25 μF = 0.25 x 10⁻⁶ F
A = Area of Plates = ?
∈₀ = Permittivity of free space = 8.85 x 10⁻¹² C/N.m²
∈r = Dielectric Constant = 3
Therefore,
0.25 x 10⁻⁶ F = A(8.85 x 10⁻¹² C/N.m²)(3)/(2 x 10⁻⁵ m)
A = (0.25 x 10⁻⁶ F)(2 x 10⁻⁵ m)/(3)(8.85 x 10⁻¹² C/N.m²)
A = 0.188 m²
is -3 a solution to equation 3x -5 = 4+ 2x
Answers
Answer:
No!
Explanation:
The correct answer is x = 9.
