Answer:
G = 1.670 × [tex]10^{-11}[/tex] [tex]m^{3}kg^{-1}s^{-2}[/tex]
Explanation:
From Newton's law of universal gravitation,
F = [tex]\frac{GMm}{R^{2} }[/tex]
Where F is the force of attraction, G is the gravitational constant, M is the mass of the earth, R is the radius of the earth.
From Newton's second law of motion,
F = mg
mg = [tex]\frac{GMm}{R^{2} }[/tex]
g = [tex]\frac{GM}{R^{2} }[/tex]
⇒ G = [tex]\frac{gR^{2} }{M}[/tex]
If the radius of the earth becomes half,
R = [tex]\frac{R}{2}[/tex], then;
G = [tex]\frac{gR^{2} }{4M}[/tex]
Given that: g = 9.8 m/[tex]s^{2}[/tex], radius of the earth is 6371000 m, mass of the earth is 5.972 × [tex]10^{24}[/tex]kg, then;
G = [tex]\frac{9.8*(6371000)^{2} }{4*5.972*10^{24} }[/tex]
= 1.670 × [tex]10^{-11}[/tex] [tex]m^{3}kg^{-1}s^{-2}[/tex]
A student observes that for the same net force heavier objects accelerate less which statement describes the correct conclusion?
There is a negative correlation between mass and acceleration.
An increase in acceleration causes the mass to increase.
A decrease in acceleration causes the mass to increase.
There is a positive correlation between mass and acceleration
Answer: A decrease in acceleration causes the mass to increase.
Explanation:
Let's rewrite this as:
"For a constant force F, we can see that heavier objects accelerate less"
Then, as the mass increases, the acceleration of the object decreases.
This is known as an inverse relationship between acceleration and mass.
By second Newton's law we have that:
F = m*a
Force equals mass times acceleration.
So if the force is constant, we can write it as:
a = F/m.
In this equation, we can see that, if the acceleration decreases and F remains constant, then the mass m must increase (because it is in the denominator)
Then the correct option is:
A decrease in acceleration causes the mass to increase.
Answer:
There is a negative correlation between mass and acceleration.
Explanation:
Facundo is wrong. I got this wrong thanks to Facundo!
The flow of air from an ocean or lake to the land is called a ___________________________.
Maybe sea or onshore breeze
It develops due to the difference of air pressure greater by the different temperature of the water and land
A whale swims at a constant speed of 8m/s for 17s what distance did it travel
We have,
Speed = 8 m/s
Time = 17 seconds
Now,
Speed = Distance/Time
★ Substituting the values in the above formula,we get:
⇒ 8 = Distance/17
⇒ Distance = 8 × 17
⇒ Distance = 136 m
Hence,the distance covered by a whale is 136 m .
Identify the subatomic particle that is NOT contained in the nucleus. A) electron B) neutron C) nucleus D) proton
Answer:
The answer is A.
Explanation:
Electrons are found outside of a nucleus.
what is the nature of image of Sun obtained on a paper with the help of concave mirror
Answer:
Because concave mirror focus the sunlight at one particular point . At that particular point , amount of sunlight is converged and heat is trapped at that point . This is because , it burn the paper on which the image is focussed .
A space ship to the moon covered the 216,000 km in 72 hours. What was it’s average velocity
Answer:3000km/h
Explanation:
speed=distance/time
216,000km/72hrs
=3000km/h
Well, first of all, if there are astronauts aboard that ship, I hope they don't try to climb out yet. If they pointed straight at the moon and covered 216,000 km so far, they still have another 168,000 km to go before they get there.
Average Speed = (distance) / (time)
Speed = (216,000 km) / (72 hours)
Average Speed = 3,000 km/hr
also
Speed = (216,000 km) x (1000m/km) / (72 hr x 3600sec/hr)
Average Speed = 833.33 m/s
There's not enough information given to find the ship's velocity.
What is a common misconception/mistake made when calculating the final velocity for a falling object
Answer:
Velocity (v) can be calculated via v = gt, where g represents the acceleration due to gravity and t represents time in free fall. Furthermore, the distance traveled by a falling object (d) is calculated via d = 0.5gt^2.
A cliff jumper jumps off a cliff with an initial horizontal velocity of 10 m/s. The cliff is 10 meters high. How far from the base of the cliff does the diamond fall?
Answer:
The distance reached is 14.3 m.
Explanation:
To find the distance reached by the diamond first we need to find the flight time:
[tex] t_{v} = \sqrt{\frac{2h}{g}} [/tex]
Where:
h: is the height = 10m
g: si the gravity = 9.81 m/s²
[tex] t_{v} = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2*10 m}{9.81 m/s^{2}}} = 1.43 s [/tex]
Now, we can find the distance reached:
[tex] x = V_{0_{x}}*t_{v} [/tex]
Where:
[tex]V_{0_{x}}[/tex] is the initial horizontal velocity = 10 m/s
[tex] x = V_{0_{x}}*t_{v} = 10 m/s*1.43 s = 14.3 m [/tex]
Therefore, the distance reached is 14.3 m.
I hope it helps you!
how many nanometers is 0.0357 m?
Answer:
35700000
Explanation:
multiply the meter value by 1e+9
Answer:
35700000 nanometers
Explanation:
two decimals that are the same as 7.7
Answer:
7.70
7.700
Explanation:
We can simply add zeros behind the significant figures and they would still be equivalent to 7.7
Do you think all substances can change into a solid,liquid or gas?
Answer:In short yes in long
Explanation:yes all substances can exist in any of these three states. In addition to existing in one of the three states, matter can also undergo a change of state. A change of state occurs when matter is converted from one state to another state for example when a liquid is converted to a gas or a solid is converted to a liquid.
Does a sled have inertia while sitting still
Answer:
Yes, a sled has inertia while sitting still.
Explanation:
From Newton's law of inertia, an object at rest will remain at rest unless it is acted upon by an external force. The reason the object will remain at rest unless an external force acts is because of inertia. Inertia means the resistance of an object to motion.
Thus, a sled hammer at rest will remain at rest unless it is acted upon by an external force. So we can conclude that it has Inertia.
Which situation shows potential energy transforming into kinetic energy 1.A car stopped at a stoplight 2.A flowerpot falling from a balcony 3.A cow standing in a field 4.A bicycle slowing down
Answer:
2.A flowerpot falling from a balcony
Explanation:
Potential energy is the internal energy within a body at rest or at a height above the ground. In this case of the falling flowerpot, the flowerpot initially has a potential energy due to its position on the balcony above the surface of the earth. As the flowerpot falls, the work done against gravity in taking the flowerpot to this height on the balcony (equivalent to the potential energy) is transformed into the kinetic energy of motion as the flowerpot falls down through the height.
why is it wrong to say a single object all alone is moving
Answer:
It is wrong to say that "a single object all alone is moving" simply because it goes against Newton's law of inertia.
Explanation:
From Newton's law of inertia, it states that: An object at rest or in constant motion will continue in it's present state unless it is acted upon by an external force.
Which means that a single object by itself cannot move anywhere unless it is acted upon by an external force..
Thus, it is wrong to say that "a single object all alone is moving" simply because it goes against Newton's law of inertia.
If the force of gravity _____ the weight of an object will ______.
A. Decrease, increase
B. Increase, increase.
C. Increase, stay the same D. Decrease, stay the same
Answer:
the answer is c
Explanation:
because if the force of gravity increases its not gonna change its weight it will just float
Answer:
B
Explanation:
Weight is the amount of force gravity is exerting on something, so if gravity's force increases, weight would increase as well
1. The Coulomb force between two charges q1 and q2 at separation r in air is F. If half of the separation is filled with medium of dielectric constant 9, what will be the value of new coulomb force? 2.There are two large parallel metallic platesP1 and P2 carrying surface charge densities σ1 and σ2(σ1> σ2) respectively, placed at some distance d apart in vacuum. Determine the work done by the electric field in moving a point charge q from P1 to P2 along a line a (a
Answer:
Explanation:
1 )
F = k q₁q₂ / r² where k = 9 x 10⁹
So force F₁ = [tex]\frac{kq_1q_2}{(\frac{r}{2}+\frac{\sqrt{9} r}{2})^2 }[/tex]
= [tex]\frac{kq_1q_2}{(\frac{r}{2}+\frac{3 r}{2} )^2 }[/tex]
= k q₁q₂ /4 r²
F₁ = F / 4
2 ) Electric field due to charge density σ
= σ / ε₀
So net electric field between the plates
= ( σ₁ - σ₂ ) / ε₀
Force on charge q
= ( σ₁ - σ₂ ) q / ε₀
work done = force x displacement
= ( σ₁ - σ₂ ) x q x d / ε₀
Kim took 5 hours to complete a journey with an average speed
of 80 km/h. For the first 3 hours, she travelled at an average
speed of 60 km/h. What was her average speed for the
remaining time of the journey?
km
Answer:110
Explanation:
A glass plate 2.25 mm thick, with an index of refraction of 1.80, is placed between a point source of light with wavelength 620 nm (in vacuum) and a screen. The distance from source to screen is 1.50 cm. How many wavelengths are there between the source and the screen?
Answer:
There are 2.71x10⁴ wavelengths between the source and the screen.
Explanation:
The number of wavelengths (N) can be calculated as follows:
[tex] N = \frac{d_{g}}{\lambda_{g}} + \frac{d_{a}}{\lambda_{a}} [/tex]
Where:
[tex]d_{g}[/tex]: is the distance in glass = 2.25 mm
[tex]d_{a}[/tex]: is the distance in air = 1.50 cm - 0.225 cm = 1.275 cm
[tex]\lambda_{g}[/tex]: is the wavelength in glass
[tex]\lambda_{a}[/tex]: is the wavelength in air = 620 nm
To find the wavelength in glass we need to use the following equation:
[tex] n_{g}*\lambda_{g} = n_{a}*\lambda_{a} [/tex]
Where:
[tex]n_{g}[/tex]: is the refraction index of glass = 1.80
[tex]n_{a}[/tex]: is the refraction index of air = 1
[tex] \lambda_{g} = \frac{\lambda_{a}}{n_{g}} = \frac{620 nm}{1.80} = 344.4 nm [/tex]
Hence, the number of wavelengths is:
[tex] N = \frac{d_{g}}{\lambda_{g}} + \frac{d_{a}}{\lambda_{a}} [/tex]
[tex] N = \frac{2.25 \cdot 10^{-3} m}{344.4 \cdot 10^{-9} m} + \frac{1.275 \cdot 10^{-2} m}{620 \cdot 10^{-9} m} [/tex]
[tex] N = 2.71 \cdot 10^{4} [/tex]
Therefore, there are 2.71x10⁴ wavelengths between the source and the screen.
I hope it helps you!
what is the power in a circuit with a voltage of 120 V and a resistance of 50
Answer:
288W.
Explanation:
P = IV = V^2 / R = (120)^2 / 50 = 288W.
How does the moon’s diameter compare with the distance between earth and the moon
Angela and Blake are running toward each other from
15 m away. At time t = 0 s, Angela runs to the right at 5
m/s and Blake runs to the left at 3 m/s
Write an equation for Angela?
Answer:
Kindly check explanation
Explanation:
Given the following information :
Distance between Angela and Blake = 15m
Angela's speed = 5m/s at t = 0
Angela's direction = Right = positive
Blake's speed = 3m/s at t = 0
Blake's direction = left = negative
Position or distance = speed × time
Hence,
Combined speed = (3 + 5) = 8m/s
Distance = 15m
Time = distance / speed
Time = 15 / 8
Time they meet = 1.875 seconds
Distance covered by Angela :
Speed × time
= 5 × 1.875 = 9.375 meters
The equation for the distance traveled by Angela is 5t and the distance covered by Angela is 9.375 m.
The given parameter:
the distance between Angela and Blake = 15 mspeed of Angela, [tex]V_A[/tex] = 5 m/sspeed of Blake, [tex]V_B[/tex] = 3 m/slet the time at which Angela and Blake meet = t
The equation for the distance traveled by Angela = 5t
The time (t) at which Angela and Blake meet will be calculated using relative velocity concept:
since they are closing the distance together, we will add their velocities
(i.e they are working together and not against each other)
[tex](V_A +V_B) t = 15\\\\(5 + 3) t = 15\\\\8t = 15\\\\t = \frac{15}{8} \\\\t = 1.875 \ s[/tex]
The distance covered by Angela = 1.875 s x 5 m/s = 9.375 m
The distance covered by Blake = 1.875 x 3 m/s = 5.625 m
Learn more here: https://brainly.com/question/2312318
Which steps can you take to help a person suffering from achohol abuse?
Answer:
Call a treatment service. Seek out a healthcare professional. Lastly, report the issue to the local authorities.
Why did I choose these?
You call the treatment services to take care of the person.
You seek out a healthcare professional to get him/her back in shape.
Then you report the issue so that nobody will be endangered by the person that is abusing alcohol. Many accidents occur because of this and that is why you report it.
Explanation:
How do mirrors
work?
Answer:
the light relflects off them and creates a image
Answer:
When photons - rays of light - coming from an object (your smiling face, for example) strike the smooth surface of a mirror, they bounce back at the same angle. Your eyes see these reflected photons as a mirror image.... If a smooth surface absorbs the photons, they can't bounce back and there will be no reflection.
Explanation:
*Hope this helps*
If a resident accidentally causes a chunk of ice to fall from the roof, how fast would the ice be moving when it hits the ground? Neglect air resistance.
Answer:
v = √2gh
v = 7 m / s
Explanation:
For this exercise we can use the law of conservation of energy
starting point. In the roof
Em₀ = U = m g h
final point. On the floor
Em_f = K = ½ m v²
as there is no friction, the energy is conserved
Em₀ = Em_f
m g h = ½ m v²
v = √2gh
In the exercise the height of the ceiling is not indicated, but in general the height of the ceiling of a house is h = 2.5 m
v = √ (2 9.8 2.5)
v = 7 m / s
If a system is maintained at a pressure of 2 psi of vacuum, what is the pressure in psia (lbs per square inch absolute)
Answer:
The absolute pressure of the system is 12.7 psia.
Explanation:
Let suppose that system works at an atmospheric pressure of 14.7 psia, the absolute pressure is equal to the atmospheric pressure minus vaccum pressure, that is:
[tex]p_{abs} = p_{atm} - p_{vac}[/tex]
Where:
[tex]p_{abs}[/tex] - Absolute pressure, measured in pounds per square inch.
[tex]p_{atm}[/tex] - Atmospheric pressure, measured in pounds per square inch.
[tex]p_{vac}[/tex] - Vacuum pressure, measured in pounds per square inch.
Given that [tex]p_{atm} = 14.7\,psia[/tex] and [tex]p_{vac} = 2\,psia[/tex], the absolute pressure of the system is:
[tex]p_{abs} = 14.7\,psia-2\,psia[/tex]
[tex]p_{abs} = 12.7\,psia[/tex]
The absolute pressure of the system is 12.7 psia.
Jon was happily riding his bike at a velocity of 12 m/s North, he soon realized he was late and increased his velocity to 24nm/s in the same direction in 6 seconds. What was his acceleration?
Answer:
2 m/s^2
Explanation:
acceleration formula: a=(v-v0)/t
a=(24-12)/6=2
suppose you use three different scales to weigh bag of oranges one scale says the bag weighs 2.1 lbs a second says it weighs 2.2 lbs and a third says it weighs 2.1 lbs the actual weight of the bag of oranges is 2.153 lbs which of the following best describes the results?
Answer:
It would be 2.2 if you have to round the five to the one but if your not rounding the number, it'd be 2.1.
Explanation:
Does a free falling object fall 2 meters in twice the time as it falls 1 meter?
a. Yes, it takes twice as long to fall twice as far. b. Yes, it takes longer to fall farther.
c. No, since it is speeding up as it falls it will cover the same distance in a shorter time.
d. No, it takes the same time since it does not accelerate.
A free-falling object has a consrant force acting on it . . . the force of gravity, or what technical experts refer to as its "weight".
Since the object has a constant force acting on it, it must constantly accelerate according to Newton's 2nd law of motion. The way this acceleration reveals itself, the object's speed is constantly increasing.
Since the object is speeding up as it falls, there are a few weird things that happen:
-- It will fall 2 meters in less than double the time for 1 meter.
-- It will fall 3 meters in less than triple the time for 1 meter.
-- It will fall 4 meters in less than quadruple the time for 1 meter, and less than double the time for 2 meters.
-- It will fall 1 meter near the bottom in less time than 1 meter near the top.
None of the choices exactly answers the question.
Choices ' a ' and ' d ' are false statements.
Choice-b is a true statement, but it isn't a "Yes".
Choice-c is kind of confused, but is probably the one you should select.
A biology student views several different prokaryotic and eukaryotic cells under a microscope. How do the prokaryotic cells appear different from the eukaryotic cells? Choose 1 answer: (Choice A) A The prokaryotic cells have mitochondria. (Choice B) B The eukaryotic cells have cytosol. (Choice C) C Eukaryotic cells have ribosomes and prokaryotic cells do not. (Choice D) D The prokaryotic cells are smaller than the eukaryotic cells.
Answer:
The prokaryotic cells are smaller than the eukaryotic cells.
Explanation:
Its just the simple process of elimination. Prokaryotic cells lack of a lot of things, including mitochondria, so it couldn't be option C. BOTH prokaryotic and eukaryotic cells have cytosol AND ribosomes, so the answer couldn't be D or A, and you're left with option B. Meaning option B is the correct choice.
Three quarterbacks challenged each other to a throwing competition. They want to see who can throw the ball the furthest. What SI unit would be most appropriate to measure the competition? Question 1 options: Celsius Gram Meter Liter
Answer:
Meter
Explanation:
The competition between the three quarterbacks is with respect to how far the ball would be thrown by each person, which is the distance covered by the ball. The thrown ball is an example of projectile, which would move over a certain distance.
With respect to the measure to be used in the competition, the appropriate SI unit is meter. This is the measure of length or distance covered.