To Find :
The acceleration of the heavier object.
Solution :
Force of gravitation on lighter object by heavier object is :
[tex]F = \dfrac{Gm(4m)}{100^2}[/tex]
Acceleration of lighter object is given by :
[tex]a_s = \dfrac{4Gm}{100^2}\\\\m = \dfrac{50^2}{G}[/tex] .....1)
Now, acceleration of heavier object when separation between them is 25 km :
[tex]4ma_h = \dfrac{Gm(4m)}{25}\\\\a_h = \dfrac{Gm}{25}[/tex].....2)
Putting value of m in equation 2, we get :
[tex]a_h = \dfrac{G\times 50^2}{G \times 25}\\\\a_h = \dfrac{2500}{25}\\\\a_h = 100\ m/s^2[/tex]
Therefore, the acceleration of the heavier object is 100 m/s².
Which of the following is an example of velocity?
O a. 2 m/s
O b. 25 N
O c. 55 miles per hour South
O d. 2m/s2 west
Answer:
C
Explanation:
b is 55 miles per hour south or 55mph[South]
the important part to understand is that velocity is a vector meaning it also has to have a direction, in this case south. That is why a (2m/s) is not a velocity, however 2m/s is a speed.
If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 5 m/s2 for 3 seconds, what will its final velocity be?
Answer:
25 m/s
Explanation:
Formula of acceleration is:
[tex]a=\frac{v-u}{t} \\[/tex]
where,
v is the final velocity
u is the initial velocity
a is the acceleration and
t is the time
so plugging in the values we get,
[tex]a=\frac{v-u}{t} \\\\5=\frac{v-10}{3} \\\\15=v-10\\15+10=v\\v=25\ m/s\\[/tex]
A balloon that has been rubbed on wool has a negative charge. When the balloon is held over—but not touching—some bits of paper, some of the bits jump up to the balloon. Why does the paper move?
Answer:
This process is known as static electricity
Explanation:
When balloon is rubbed on the wool , a negative charge is usually formed. When the balloon is then held over—but not touching—some bits of paper, some of the bits jump up to the balloon. The bits which jump up to the balloon are positive charged and we know that unlike charges attract.
This process explains static electricity which is when the charges on a material are not in a balanced state.
if the amount of work done remains constant but occurs over less time how does this affect the amount of power exerted?
Answer:
The amount of power will be increased.
Explanation:
If the work remains constant but the time is reduced the power increases. Since power is defined as the relationship between work overtime. By means of the following equation, we can see this relationship.
[tex]P=W/t[/tex]
where:
P = power [Watts]
W = work [J] (units of joules)
t = time [s]
Let's assume with an example the above written.
If we have an electric motor that exerts a work of 950 [J], and the time used is 5 [s], the power is:
[tex]P = 950/5\\P = 190 [W][/tex]
Now if we want to accelerate the work done and use 2 seconds for the time, we will have:
[tex]P=950/2\\P=475 [W][/tex]
We want to see how maintaining the work constant but reducing the time in which it occurs affects the power. We will see that the power increases.
We define power as the amount of work done per unit of time.
So we can compute power as the quotient between the work done and the time in which it is done.
So, if we reduce the time in which the work is done, then the denominator is smaller, thus, the power will be larger.
This means that maintaining the work constant, and reducing the time in which it is done, increases the amount of power exerted.
If you want to learn more, you can read:
https://brainly.com/question/3854047
Explain how the shape of a river's stream bed can affect the river's speed and its power to cause erosion.
Answer:
Possiable answer by edge:
The shape of a river’s stream bed affects the speed and eroding power of a river by influencing the amount of friction between the water flowing through the river and the stream bed below. Friction is the force that opposes the motion of one surface as it moves across another surface. In a river, there is friction between the flowing water and the stream bed beneath it. Where a river is deep, less water comes into contact with the stream bed, so there is less friction. The reduced friction means there is less opposition to the water’s motion, so the river flows at a greater speed and has more kinetic energy for erosion. On the other hand, where a river is shallow, more water comes into contact with the stream bed, so there is more friction. The increased friction means there is more opposition to the water’s motion, so the river flows at a lesser speed and has less kinetic energy for erosion. Also, the roughness of a stream bed covered with boulders and other obstacles causes the water to flow through the river in a turbulent fashion. This could cause the river to move slower in some cases or erode more in other cases.
Explanation:
summary of answer:
influencing the amount of friction between the water flowing through the river and the stream bed below.
An insulated rigid tank with a volume of 0.57 m3, contains 4 kg of Argon gas at 450 kPa and 30 C. A valve is now opened, and the Argon is slowly allowed to escape until the pressure inside drops to 200 kPa. Assuming the Argon remaining inside the tank has undergone a reversible, adiabatic process, determine the final mass in the tank,
Answer:
The value is [tex]m_2 = 2.46 \ kg[/tex]
Explanation:
From the question we are told that
The volume of the tank is [tex]V = 0.57 \ m^3[/tex]
The mass of the Argon it contains is [tex]m = 4 \ kg[/tex]
The initial pressure on of the gas is [tex]P_1 = 450 kPa = 450 *10^{3} \ Pa[/tex]
The initial temperature is [tex]T_1 = 30^oC = 30 + 273 = 303 \ K[/tex]
The new pressure inside the tank is [tex]P_2 = 200 \ kPa = 200 *10^{3} \ Pa[/tex]
Gnerally given that the Argon remaining inside the tank has undergone a reversible, adiabatic process, then the final temperature of the Argon gas is mathematically represented as
[tex]T_2 = T_1 * [\frac{P_2}{P_1} ]^{ \frac{(k - 1 )}{k} }[/tex]
Here k is the specific heat ratio of Argon with value [tex]k = 1.667[/tex]
So
[tex]T_2 = 303 * [\frac{200}{450} ]^{ \frac{(1.667- 1 )}{1.667} }[/tex]
=> [tex]T_2 = 219 \ K[/tex]
Generally from the ideal gas equation
[tex]PV = mRT_2[/tex]
So
[tex]\frac{P_1V}{P_2V} =\frac{ m_1 * R * T_1 }{ m_2 * R * T_2}[/tex]
Here R is the gas constant with value [tex]R = 8.314 \J \ K^{-1}\ mol^{-1}[/tex]
=> [tex]m_2 = \frac{P_2 * T_1 }{ P_1 * T_2 } * m_1[/tex]
=> [tex]m_2 = \frac{200 * 303 }{ 450 * 219 } * 4[/tex]
=> [tex]m_2 = 2.46 \ kg[/tex]
what other factor affected the gravitational force between the two objects in this simulation?
Answer:
The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. If one of the masses is doubled, the force of gravity between the objects is doubled. increases, the force of gravity decreases
Give three examples of how a cell's shape makes possible the cell's function
Answer:
A) a nerve cells long extensions enable it to transmit electrical impulses from one body part to another
B) the sheet like organization of epithelial cells enables them to protect underlying cells
C) the alignment of contractile proteins within muscle cells enables them to contract, pulling closer together the structures to which they attach
Explanation:
3. A ball is hit upward with a speed of 7.5 m/s. How long does the ball take to reach maximum height?
Answer:
t = 0.75 seconds
Explanation:
Given that,
The initial speed of a ball, u = 7.5 m/s
We need to find the time taken by the ball to reach the maximum height. Let t is the time taken.
At maximum height, its final speed, v = 0 and it will move under the action of gravity.
Using the equation of motion to find t.
[tex]v=u+at[/tex]
Use a = -g
[tex]v=u-gt\\\\t=\dfrac{u}{g}\\\\t=\dfrac{7.5}{10}\\\\t=0.75\ s[/tex]
Hence, the ball will take 0.75 seconds to reach the maximum height.
What's 3,278,000 as scientific notation ?
Answer:
[tex] 3.278 \times {10}^{6} [/tex]
A cyclist travels 100 kilometers in 4 hours. What is the cyclist speed?
Answer:
100x4=400 kilometers
Explanation:
: )
Answer:
100÷4=25
Explanation:
you would devide
Which of the following BEST describes Jupiter's seasons?
O A.
There are no significant seasonal changes.
B.
The seasons are much like Earth's.
OC.
The seasons are much shorter than Earth's.
OD. The seasons are much longer than Earth's.
Answer:
Jupiter does not have changing seasons like the Earth, but instead is believed to have a constantly stormy atmosphere. This is partly due to its tilt, which is only 3 degrees. The planet has a very turbulent atmosphere and is believed to have a lot of long-term storms.
So the answer is A : There are no significant seasonal changes.
Explanation:
I REALLY NEED HELP ON PHYSICS!!!
10 POINTS
Answer:
25.021 sec
Explanation:
v=d/t
-2.33= - 58.3/t
t= - 58.3/-2.33
t=25.021 sec
What does the unit Newton equal to in Sl units?
Answer:
Newton is the SI unit of force
Explanation:
A force of 1 Newton is said to be applied when an object of 1kg mass is transferred into motion at 1m/s.
The Newton is the force that accelerates 1 kilogram of mass at the rate of 1 meter per second^2.
In SI base units, 1N = 1 kg-m/s^2 .
what is the correct answer?
Answer:
-1/6 im sure to this answer
Explanation:
mark brainliest
Answer:
-1/6
Explanation:
pick her as the brainliest
Which wave form will Rayleigh waves most likely create?
A. an ocean wave
B. a skier moving down a mountain hill
C. a car traveling through the sand dunes
D. a whale gliding along the ocean's surface
A car is moving along a straight horizontal road. The car has 1.6MJ of kinetic energy. The car accelerates for 20s until the kinetic energy of the car increases to 2.5MJ. What is the minimum average power developed by the car engine for this acceleration?
Answer:
P = 45 [kW]
Explanation:
We must find the difference in kinetic energy during the 20 seconds.
[tex]D_{kE}=2.5-1.6\\D_{kE}=0.9[MJ][/tex]
Power is defined as the relationship between energy over time.
[tex]P=D_{kE}/t\\P=0.9/20\\P=0.045[MW] or 45 [kW][/tex]
in winter morning as soon as we wake up , the air inside the room is cold but if we go out and return to the same room , we feel warm why?
what do you know about atom
Answer:
The smallest part of the elements which contains matters in them are atoms :)
A wheelchair ramp is 5.2 m long and 0.8 m high. Calculate the ramp’s mechanical advantage
Answer:
5
Explanation:
62
food and electricity are the examples of_________________
Answer:
sources of energy
Answer:
energy
Explanation:
hope this is the right answer
pls class 10 th hepl me with this project
Answer: Sad y’all have holiday homework
Give the Concept of heat and temperature on the basis of molecular motion. Please give long answer
Explanation:
Molecular motion is defined as the movement of constituent particles or molecules in a certain direction. The molecular motions are affected by heat and temperature. This is because the temperature is the measurement of the average kinetic energy of the molecules and represents the motion of molecules.
Answer:
Heat and temperate are directly related As the temperature increases then the heat inside of the tube or container also increase. When a liquid is at a sub-cooled liquid temperature and increases then the molecules begin to move faster and fill up more space or volume. Hence as temperature increases then the molecules kinetic energy increases and activity in terms of molecules significantly increases.which two solids most likelyhave the lowest melting point??
Answer:
The two solids in the right boxes
Explanation:
The two solids in the right boxes will most likely have the lowest boiling point and this can be inferred from their molecular configuration.
Boiling point as physical change is determined by the intermolecular forces within a compound. Very strong intermolecular interactions will be difficult to break. This is shown by the two models in the left boxes. For the right boxes, the connections are very weak and they will have low boiling points.A college student has decided to become a doctor and specialize in pulmonology. What is her next step, after completing an undergraduate degree?
residency
internship
specialized training
medical school
Answer:
D) Medical School
Explanation:
Edge 2021
the rubber covering over a wire acts as a / an ?
Answer:
Most electrical wire is covered in a rubber or plastic coating called insulation. The purpose of insulation covering the metal part of an electrical wire is to prevent accidental contact with other conductors of electricity, which might result in an unintentional electric current through those other conductors.
Explanation:
for a given force, if the mass of the object is doubled, its acceleration becomes ??
Force = Mass . Accelaration
f=ma
force is directly proportional to mass and accelaration
therefore when mass of the object is doubled, the accelaration would be halved
since
a=f/m
HELP ASAP!! WILL TRY TO GIVE BRAINLIEST
How do endocytosis and exocytosis differ?
Answer:
Endocytosis and exocytosis are both forms of active transport. Endocytosis is where materials enter the cell and exocytosis is where materials exit the cell.
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Describe the chemical structure of a cell membrane
Answer:
The plasma membrane is composed of a bilayer of phospholipids, with their hydrophobic, fatty acid tails in contact with each other. ... Carbohydrates are attached to some of the proteins and lipids on the outward-facing surface of the membrane. These form complexes that function to identify the cell to other cells.
Explanation:
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The Hawaiian islands formed when molten material erupted from the ocean floor. As the lava flowed out, cooled, and hardened, massive rocks formed. These rocks have a very fine texture and tiny crystals that cannot be seen with the naked eye. These massive rocks formed into the islands that are present today.
What type of igneous rock are the Hawaiian islands?
Answer:
Explanation:
The most common type of igneous rock making up the Hawaiian island chain is Mafic rock. Furthermore, the most common type of Mafic rock is basalt.
Answer:
Extrusive