Solution :
Using the Gauss law, the electric field intensity of a sphere is given by :
[tex]$E. 4 \pi r^2 = \frac{Q_{enc}}{\epsilon_0}$[/tex]
[tex]$E = \frac{Q_{enc}}{4 \pi r^2 \epsilon_0}$[/tex]
Now the enclosed charge inside the sphere (r<a) is
[tex]$Q_{enc}= \rho V$[/tex]
[tex]$Q_{enc}= \rho \left( \frac{4}{3} \pi r^3 \right)$[/tex]
Hence, the electric field intensity becomes as follows :
[tex]$E= \frac{\rho \left(\frac{4}{3} \pi r^3\right)}{4 \pi \epsilon_0 r^2}$[/tex]
[tex]$E =\frac{\rho r}{3 \epsilon_0}$[/tex]
Thus, the electric field inside the sphere is given by :
[tex]$\vec {E} = \frac{\rho \vec{r}}{3 \epsilon_0}$[/tex]
The speed of the wooden bar is changed so that the bar hits the water fewer times each second.
What happens to the frequency of the waves produced?
A. Increases
B. Does not change
C. Decreases
Answer:
c - the frequency of the waves decreases
I'll mark as brainliest if your answer is correct!!
#1: A study performed yielded results that indicated the more natural sunlight a person was exposed to, the more likely they were to show increases in serotonin in their bloodstreams. This correlation is an example of a _______ correlation.
#2: researchers were interested to see how many people who break the speed limit could be deterred from their bad behavior. Upon observation,they noticed that the more often and frequent law enforcement appeared at Highway stops the less likely people were to speed in that area. This correlation is a great example of a ____ correlation.
C) If your displacement is 19.3m and your final position is 31.8m, what was your initial position?
Answer:12.5
Explanation: Subtract
. A hydraulic lift consists of two cylindrical pistons, one with a radius of 1.5 m and
the other with a radius of 8.0 cm. What force must be applied to the smaller piston if
a crate with a mass of 1.5x103 kg is to be raised on the larger piston?
F=42N,
Answer:
The force that must be applied to the smaller piston if the crate is to be raised by the larger piston is approximately 42 N
Explanation:
The given parameters of the hydraulic lift are;
The diameter of one of the pistons = 1.5 m
The diameter of the other pistons = 8.0 cm = 0.08 m
The mass of the crate to be lifted with the larger piston, m = 1.5 × 10³ kg
The weight of the mass to be lifted by the larger piston, W₁ = m × g
Where;
g = The acceleration due to gravity = 9.8 m/s²
Therefore;
W₁ = 1.5 × 10³ kg × 9.8 m/s² = 14,700 N
The area of the surface of the circular piston, A = π × r²
Where;
r = The piston's radius
∴ The area of the larger piston with 1.5 m radius, A₁ = π × (1.5 m)² = 7.06868347058 m² ≈ 7.07 m²
A₁ ≈ 7.07 m²
The area of the smaller piston with 0.08 m (8 cm) radius, A₂ = π × (0.08 m)² = 02010619298 m² ≈ 0.02 m²
A₂ ≈ 0.02 m²
The pressure in the fluid of the hydraulic lift is constant, therefore, we have;
The pressure applied to the larger piston with 1.5 m radius, P₁ = The pressure applied to the smaller piston with 0.08 m radius, P₂
∴ P₁ = P₂
[tex]Pressure = \dfrac{Force}{Area}[/tex]
[tex]P_1 = \dfrac{W_1}{A_1} = \ P_2 = \dfrac{F_2}{A_2}[/tex]
[tex]\therefore \dfrac{W_1}{A_1} = \ \dfrac{F_2}{A_2}[/tex]
Where, F₂, represents the force that must be applied to the smaller piston if the crate is to be raised by the larger piston;
[tex]\therefore F_2 = A_2 \times \dfrac{W_1}{A_1}[/tex]
Given that we have the ratio of two areas which have π as a factor, we have;
[tex]\therefore F_2 = A_2 \times \dfrac{W_1}{A_1} = 0.08^2 \times \pi \times \dfrac{14,700}{1.5^2 \times \pi } = 41.81 \overline 3[/tex]
The force that must be applied to the smaller piston if the crate is to be raised by the larger piston, F₂ = 41.81[tex]\overline 3[/tex] N ≈ 42 N.
For a complete vector quantity, what information needs to be given?
The magnitude of the quantity and its direction.
Write 4,007,500,000 in scientific notation.
4.0075 x 10 -9 (-9 is an exponent)
4.075 x 10 9 (9 is an exponent)
4007.5 x 10 6 (6 is an exponent)
4.0075 x 10 9 (9 is an exponent)
Which explanation BEST supports Newton's second law of motion which states that force = mass x acceleration?
Object Y will accelerate the fastest because it has the largest mass.
Object V will accelerate the slowest because it has the smallest mass.
Object Y will require the most force to move because it has the largest mass.
Object V will require the most force to move because it has the smallest mass.
If an element an atomic number of 32 and a mass of 72, how many neutrons does it have?
Answer:
41
Explanation:
and your welcome
What did the Dakota believe about Bdote?
Answer Bdote means “where two waters come together.” While bdote can refer to any place where waters converge, many Dakota people consider this location as a sacred place of creation, identifying themselves as the Wicahpi Oyate (Star Nation) who originated in the sky and came into being on this land.
I hope it helpful
What is the independent variable?
Diameter
Circumference
Answer:
Diameter
Explanation:
I know that circumference is dependent, so diameter has to be independent
The circumference is dependent, so diameter has to be independent.
What are independent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
Diameter is the line from one point in the circle to the other point through the center of the circle.
The circumference of the circle that has a radius of r is the product of diameter to the pie value.
The circumference is dependent, so diameter has to be independent.
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I NEED HELP ASAP!!!!!!!
A balloon has a volume of 25.0 L at a pressure of 98.7 kPa. Will the new volume be more or less that 25.0 L whe
the pressure is 51.2 kPa?
Answer:
It will be more
Explanation:
Pressure and volume relationships between gases is given by the Boyle's law.
According to this law, we know that:
"the volume of a fixed mass of a gas varies inversely as the pressure changes if the the temperature is constant".
So, the higher the pressure on a body, the lower it's volume and vice versa.
Since we set off at a higher pressure and wants to end at a lower pressure, the volume of the gas will increase more.
Some chemical reactions release energy. Others store energy. What important chemical reaction stores energy?
Which picture is louder?
A) Bottom picture with greater amplitude
B) Top picture with less amplitude
Help me plssss!!!
Answer:
A
Explanation:
The amplitude of a sound wave determines its loudness or volume. A larger amplitude means a louder sound, and a smaller amplitude means a softer sound.
Is gravitational energy a form of kinetic energy or potential energy? Why do you think that?
Please help due today!!
Answer:
When something is lifted, work is done on the object against the pull of gravity. This work is converted to a form of potential energy called gravitational potential energy. When the item falls towards Earth like an apple from a tree, gravitational potential energy is converted into kinetic energy.
Is this right? Please help me
Answer:
It would be C
Explanation:
The brain operates on two levels, one of them is unconscious.
As a gas or liquid increases in heat, what direction will it naturally move?
Hello!
Answer:
When a gas gets hot it should go up because of the pressure.
Explanation:
Hope this helps!
What is a delta?
20 characters...
Answer:
A river delta is a landform created by deposition of sediment that is carried by a river as the flow leaves its mouth and enters slower-moving or stagnant water. This occurs where a river enters an ocean, sea, estuary, lake, reservoir, or another river that cannot carry away the supplied sediment.
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Which waves can travel through space?
electromagnetic waves only
mechanical waves only
electromagnetic and mechanical waves
longitudinal and electromagnetic waves
Answer:
Electromagnetic waves only
Only electromagnetic waves can travel through space. hence option A is correct.
What is Electromagnetic waves ?Electromagnetic waves are the waves associated with photon. Photons carry electromagnetic waves. it has both electric field and magnetic field perpendicular to each other.
when input of the Dipole antenna is connected to the electric signals having certain frequency. on first half cycle one pole is on positive potential and other is on negative potential. The pole which is at negative potential attracts all the electrons towards it and the pole which is at positive potential attracts positive holes. In the second half cycle polarity of the poles changes and it happen repeatedly, Due to change in polarity of the dipole of the antenna, electrons in the antenna produces electromagnetic waves which we use it for our radio station and mobile phones.
Electromagnetic waves does not require any medium to travel, it can travel through space(vacuum). Waves travels in the medium but there is no medium in the space, but electromagnetic waves are able to travel in the vacuum so scientist named the space as medium of ether.
Hence option A is correct.
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What are all of the physics rules?
Answer:
f this bs
Explanation:
no i will not answer this
Answer: PLEASE GIVE BRIANLIEST
1. Archimedes Principle
2. Avogadro’s Law
3. Ohm's Law
4. Newton’s Laws (1642-1727)
5. Coulomb’s Law (1738-1806)
6. Stefan’s Law (1835-1883)
7. Pascal’s Law (1623-1662)
8. Hooke’s Law (1635-1703)
9. Bernoulli's Principle
10. Boyles's Law
11. Charles's Law
12. Kepler's Law
13. Law of conservation of energy
14. Tyndall effect
15. Graham’s Law
help me!
Bill left a hammer out in the rain all day. The next morning it had rust on it.
Oxygen and a metal chemically combine to form rust. What is rust an example of?
O a mixture
• a solution
an element
a compound
Answer:D.Compound
Explanation: internet
A car travels for a time of 2.4 hours at a speed of 65Km/hr. How far has it traveled?
Answer: 27.1 km
Explanation:
Divide 65km/h and 2.4hr
what is tge scientific teem of the ratio between power out to power in (physics)
Answer:
In physics, power is the amount of energy transferred or converted per unit time. In the ... Power (physics) ... Angular acceleration / displacement / frequency / velocity. show. Scientists ... Hence the formula is valid for any general situation. ... because they define the maximum performance of a device in terms of velocity ratios
Explanation:
Earth's rotation causes winds to veer to the west or to the east. This is known as the Coriolis effect.
Lesson 1.06
Question 5 options:
True
False
Earth's rotation and spherical shape cause winds to veer to the right (in the northern Hemisphere) or to the left (in the southern Hemisphere) of the direction they want to go. This is known as the Coriolis effect.
If you didn't know that you're on a rotating Earth, and you looked at the patterns of the winds, you'd think there's some kind of force that's making the airflow veer to the right or left of the direction it actually wants to go. This is known as the Coriolis force. It's a"pseudo force", because it doesn't really exist. It only LOOKS like it's there, because of the Earth's rotation and spherical shape..
The statement "Earth's rotation causes winds to veer to the west or to the east" is true about the Coriolis effect.
What is the Coriolis effect?Fluid materials such as wind and ocean currents take different directions depending on the hemisphere, this movement of deviation is called the Coriolis effect.
Characteristics of the Coriolis effectThe Coriolis effect occurs when masses of air or water move along terrestrial meridians, and their trajectory and speed are modified by it.The winds or ocean currents that move along a meridian are diverted by accelerating in the direction of rotation (east) if they go towards the poles or the opposite (west) if they go towards the equator.Therefore, we can conclude that the force that tends to deflect the trajectory of objects moving across the entire earth's surface is known as the Coriolis effect.
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Most electricity comes from the burning of
A. Fossil fuels B. Trash C. Wood D. None of the above
Answer:
(A) Fossil Fuels
Answer:
Fossil Fuels
Explanation:
That’s what CK12 told me
What 2 coins make 30 cents if one of them is not a nickel?
Answer:
Quarter and Nickel
Explanation:
1. If an object starts at 0 m/s and 0.0001 seconds later the object is travelling at
400 m/s what is the objects acceleration?
Answer:
4 x 10⁶m/s²
Explanation:
Given parameters:
Initial velocity = 0m/s
Time = 0.0001s
Final velocity = 400m/s
Unknown:
Acceleration of the object = ?
Solution:
Acceleration is the rate of change of velocity with time;
Acceleration = [tex]\frac{Final velocity - Initial velocity }{Time }[/tex]
Acceleration = [tex]\frac{400 - 0}{0.0001}[/tex] = 4 x 10⁶m/s²
Can some help me please im confused ♀️ !!! I,ll give you BRAINLIES
Answer:
2 seconds
Explanation:
A 2.0 kg rock sits on the edge of a cliff 12 m above the beach. Calculate the kinetic energy of
the rock as it falls off the cliff if the speed of the rock is 15 m/s.
Answer:
450......
............
As a gas or liquid decreases in heat (gets cooler), what direction will it naturally move?
How would a speed vs. time line graph appear if an airplane moved at a
positive acceleration?
Answer:
Explanation:
Acceleration is the time rate of change, or the rate, of the velocity. Therefore, the slope y/x of a speed vs time graph would give the acceleration. If the acceleration is said to be positive, the graph would be a straight line that is at a constant increase over time.