Explanation:
The orbital radius of the Earth is [tex]r_1=1.496\times 10^{11}\ m[/tex]
The orbital radius of the Mercury is [tex]r_2=5.79 \times 10^{10}\ m[/tex]
The orbital radius of the Pluto is [tex]r_3=5.91 \times 10^{12}\ m[/tex]
We need to find the time required for light to travel from the Sun to each of the three planets.
(a) For Sun -Earth,
Kepler's third law :
[tex]T_1^2=\dfrac{4\pi ^2}{GM}r_1^3[/tex]
M is mass of sun, [tex]M=1.989\times 10^{30}\ kg[/tex]
So,
[tex]T_1^2=\dfrac{4\pi ^2}{6.67\times 10^{-11}\times 1.989\times 10^{30}}\times 1.496\times 10^{11}\\\\T_1=\sqrt{\dfrac{4\pi^{2}}{6.67\times10^{-11}\times1.989\times10^{30}}\times1.496\times10^{11}}\\\\T_1=2\times 10^{-4}\ s[/tex]
(b) For Sun -Mercury,
[tex]T_2^2=\dfrac{4\pi ^2}{6.67\times 10^{-11}\times 1.989\times 10^{30}}\times 5.79 \times 10^{10}\ m\\\\T_2=\sqrt{\dfrac{4\pi^{2}}{6.67\times10^{-11}\times1.989\times10^{30}}\times 5.79 \times 10^{10}}\ m\\\\T_2=1.31\times 10^{-4}\ s[/tex]
(c) For Sun-Pluto,
[tex]T_3^2=\dfrac{4\pi ^2}{6.67\times 10^{-11}\times 1.989\times 10^{30}}\times 5.91 \times 10^{12}\\\\T_3=\sqrt{\dfrac{4\pi^{2}}{6.67\times10^{-11}\times1.989\times10^{30}}\times 5.91 \times 10^{12}}\\\\T_3=1.32\times 10^{-3}\ s[/tex]
Question attached i need answers quick
Suppose that you, with a mass of 48kg, is standing on frictionless roller skates when someone throws you a 2.50kg mass with a velocity of 15m/s and you catch it. What will be your resultant velocity?
Answer:
v = 0.74 m / s
Explanation:
We can solve this exercise using the conservation of the moment
initial instant. Before the crash
p₀ = m v
where m is 2.50 kg and its velocity v₀ = 15 m / s
final moment. After catching the dough
[tex]p_{f}[/tex] = (m + M) v
As the system is made up of the mass and the person, all the forces during the impact are internal, therefore the moment is conserved
p₀ = p_{f}
m v₀ = (m + M) v
v = m / (m + M) v₀
we calculate
v = 2.5 / (2.5 + 48) 15
v = 0.74 m / s
how do electric and magnetic fields interact to create electromagnets?
Answer:
8548458
Explanation:
95895
In a series circuit, electrons only flow along one path. Given this information, which of the following is an advantage of series circuits?
A.
The voltage is the same everywhere in a series circuit.
B.
Less resistance is produced as more devices are added to the circuit.
C.
Series circuits are simpler than parallel circuits.
D.
If one part of the circuit breaks, the other parts will still be able to operate.
Answer:
C. Series circuits are simpler than parallel circuits.
Explanation:
In series circuit, all the components are connected in single path of current flow. If one part of the circuit breaks, the whole thing would break and none of the other parts would work. The voltage is not the same everywhere. It is different across each component. In series circuit, net resistance is more as resistance of all the components connected in series are added up. So, the only advantage of a series circuit is that is simpler than the parallel circuits.
A softball has a (positive/negative) acceleration when it is thrown. A soft ball has a (positive/negative) acceleration when it is caught
Answer:
A softball has a positive acceleration when it is thrown. A softball has a negative acceleration when it is caught.
Explanation:
In a “minute to win it” game, cards are placed between cups to stack them. The contestant then pulls the card out in hopes that they will end with a set of stacked cups. Why does this work?
There is no friction between the card and the cup.
Inertia will keep the top cup from moving very far. Gravity will pull one cup on top of another.
The opening of the cup is so much bigger than the bottom, even though the cup moves they will both be stacked together.
Both cups are moved the same amount by the friction between them and the card.
Answer:
There is no friction between the card and the cup.
Explanation:
Answer:
The answer option to your question is A) - There is no friction between the card and the cup.
Yosef is playing with different kinds of rubber bands. Some are very narrow and some are quite wide. Yosef is curious about the rubber bands, and develops this scientific question: Does the width of a rubber band affect how easily it can be stretched?
He decides to develop a hypothesis to test this scientific question. What could Yosef's hypothesis be?
Answer:
He could have many different hypothesis, but here is one.
Explanation:
If rubber bands are wider, then the rubber bands will stretch further, because the wider a rubber band is the stronger it is.
Which of the following is an inclined plane?
- Stairs
- Wheelchair ramp
- Sloping driveway
- Road going up a mountain
Explanation:
Wheelchair ramp
An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle, with one end higher than the other, used as an aid for raising or lowering a load.
What is the basic premise of the universal gravitational law?
Answer:
Newton's law of universal gravitation is usually stated as that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Explanation:
Answer:
Each object in the universe that has mass attracts every other object that has mass
Explanation:
Its the correct answer on the quiz
motives are activated by
A) thoughts.
B) internal physiological states.
C) external cues.
D) all of these
Answer:
D all of these gufjbihbuxhbi
Which is NOT a component of a nucleotide?
Answer:
Lysine
Explanation:
A nucleotide is a combination of a nitrogen base, pentose sugar, and phosphate. Adenine, Guanine (purines) and Thymine (pyrimidine) are nitrogen base. Lysine is the amino acid.
Hope it helps,Pls Mark as Brainliest!!
what is earths magnetism
Answer:
Magmatism is the emplacement of magma within and at the surface of the outer layers of a terrestrial planet, which solidifies as igneous rocks. ... On Earth, magma forms by partial melting of silicate rocks either in the mantle, continental or oceanic crust.
Explanation:
Can someone please answer these two science questions. Please don't answer with just anything for the points, I genuinely need the answers. Thanks! :)
6.
Answer:
45 meters
Explanation:
notice that is you multiply the time with the speed the units cancel to get distance.
therefore
distance=velocity(time)
distance=(3)15
distance =45 meters
7.
Answer:
1. the speed is constant
2. the average speed is .5 m/s
Explanation:
I have attached a graph of the data in excel.
from excel i got the equation of the line to be y=.5x with y being distance and x being time.
the function is a position function so if you take the derivative of it you get the velocity which is .5.
since the derivative is a constant the the speed does not change and the average velocity is the derivative.
Based on the table, which isotope is best suited for use as a radioactive tracer for the body’s use of calcium? calcium-40 calcium-45 calcium-47 calcium-49
Answer:
calcium-47
Explanation:
Just did the test. Good Luck!
The isotopes of calcium are artificially produced to use them as a radioactive tracers. Calcium 47 is best suited for use as a radioactive tracers for body's use of calcium.
What is radioactive tracer?A radioactive tracer consists of a chemical compound in which one or more atoms are replaced by a radioisotope.
Out of the six isotopes of calcium, calcium 47 is the most suitable isotope.
Calcium-47 consists of the half-life of about five days. This duration is long enough for biological investigations.
Thus, Calcium 47 is best suited for use as a radioactive tracers for body's use of calcium.
Learn more about radioactive tracer.
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A tugboat is pushing a barge in to a harbor.The barge is exerting a force of 3000 N against the tugboat.which force would most likely allow the tugboat to move the barge into the harbor
Answer: The Answer is -4500 N
Suppose the initial kinetic energy and final potential energy in an experiment are both zero. What can you conclude? A. The final kinetic energy is zero. B. The initial potential energy is zero. C. The final kinetic energy is equal to the initial potential energy. D. The sum of the initial and final kinetic energies is zero.
Answer:
C. The final kinetic energy is equal to the initial potential energy.
Explanation:
Based on the Principle of energy conservation:
Sum of the Initial Energy = Sum of the Final Energy
Initial Kinetic Energy + Initial Potential Energy = Final Kinetic Energy + Final Potential Energy..........(1)
Since according to the question:
Initial Kinetic Energy = 0
Final Potential Energy = 0
The equation (1) above reduces to
Initial Potential Energy = Final Kinetic Energy
Scientists studying a region in southern Florida have noticed drastic changes in the availability of freshwater. Which of the following probably did NOT contribute to these changes? A. Several years of declining rainfall B. Decrease in the population of pond plants C. Building of new homes in the area D. Construction of a dam on the local river
Answer:
C. Building of new homes in the area
I'm not totally sure but I think this is the best answer.
According to Newton's second law, how are acceleration and mass related? Directly or indirectly when force is constant?
Answer:
Newton's second law of motion can be formally stated as follows. The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net Force in the same direction as the net force and inversely proportional to the mass of the object
Explanation:
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. According to Newton's second law of motion, acceleration is directly proportional to force. As the force increases (when mass is constant), the acceleration increases
An ant starts at −5 m and moves 10 m left, 25 m right, 30 m left, and 5 m right. If the positive x-axis is to the right, what are the final position and total displacement of the ant?
A. position: −15 m; displacement: 70 m
B. position: 5 m; displacement: 10 m
C. position: 5 m; displacement: −70 m
D. position: −15 m; displacement: −10 m
Answer: D.
position: −15 m; displacement: −10 m
Explanation:
Displacement is the distance travelled in a specific direction.
Given that an ant starts at −5 m and moves 10 m left, 25 m right, 30 m left, and 5 m right
Total displacement = -10 + 25 - 30 + 5
Total displacement = -10
And the position = -10 -5 = -15
The correct answer is therefore D.
position: −15 m; displacement: −10 m
As a liquid the refrigerant transfers thermal energy to the
outside air
TRUE
FALSE
Answer:
True
Explanation:
As a liquid, the refrigerant absorbs thermal energy from the cool air inside the refrigerator and changes to a gas. As a gas, it transfers thermal energy to the warm air outside the refrigerator and changes back to a liquid.
What are Earth's mineral resources and how long might
reserves last?
A student measured the volume of three rocks. The diagram above shows the
results of her investigation. Which correctly orders the rocks from least to
greatest?
A. Rock A, Rock B, Rock C
B. Rock C, Rock A, Rock B
C. Rock B, Rock C, Rock A
D. Rock A, Rock C, Rock B
Answer:
option B is right
...............
Answer: A C B
Explanation:
If you look closely the water levels show which is bigger fun fact.
Two source charges are placed close together. The electric field vectors close to the charges all point toward the charge on the right and away from the charge on the left. A positive test charge is released in the middle. Which way will the test charge move?
A.
to the right
B.
to the left
C.
up
D.
down
A neutral atom has the same number of electrons as it does neutrons.
O A. True
O B. False
Answer:
B
Explanation:
It is true that a neutral atom has the same number of electrons as it does neutrons.
The neutrons are neutral particles, whereas the electrons are negatively charged particles.
Instead of neutrons, a neutral atom has an equal number of protons and electrons. Because they have no charge, neutrons are electrically neutral particles. The negative charge of the electrons in the electron shells encircling the nucleus in a neutral atom balances the positive charge of the protons in the nucleus. In a neutral atom, the number of protons and electrons is therefore identical, but the number of neutrons is variable.
Hence, It is true that a neutral atom has the same number of electrons as it does neutrons.
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ASAP if you answer right I will mark brainiest
Answer:
I'm glad you asked!
Explanation:
1.Venus is the hottest planet in the solar system.
2.Opportunity explored Mars' surface.
3.Earth is the only planet in the solar system known to have plate Tectonics.
4.Mercury is one of the four planets closest to the Sun.
5.Mercury is the smallest of all planets in the solar system.
6.Messenger is a space aircraft that orbits and studies Mars.
7.Venus has the largest volcano in the solar system.
With a bar magnet, where are lines of force the closest together?
A) At the tip of either of the magnet's poles
B) At a point outside the magnet halfway between the poles
C) Inside the center of the magnet
Answer:The lines of force in a magnet is closer together at the ends of a bar magnet.
Explanation:Is equally strong at the north pole when compared with the south pole. The force is weaker in the middle of the magnet and halfway between the pole and the center.
As velocity increases, what happens to momentum?
A. It stays the same
B. It increases
C. It decreases
Answer:
B. it increases
Explanation:
Remember that momentum = mass * velocity. So momentum and velocity are directly proportional, so as velocity increases, so will momentum of the object.
Answer:
If velocity of an object increases then moment would also get increased.
Explanation:
Velocity and mass are directly proportional to momentum.
hope it helps!
What happens when an object absorbs all the light striking it?
It appears blue.
It appears red.
It appears black.
It appears white.
Answer:
it appears black
Explanation:
that's my best guess
I can not find the answer to the one after potassium ?
Answer:
it’s halogen
Explanation:
The shock from an electric fence would be the least unpleasant if you were
standing
A. on dry, thick gravel
B. in tall grass
C. In wet grass
OD. near the livestock
Answer: on dry , thick gravel
Explanation:
