Answer:
a) 37.70 m/s
b)710.6 m/s²
Explanation:
Given that ;
Mass of object = 2 kg
Radius of the motion = 2m
Frequency of motion = 3 rev/s
The formula to apply is;
v= 2πrf where v is linear speed
v = 2×π×2×3 =12π = 37.70 m/s
Centripetal acceleration is given as;
a= 4×π²×r×f²
a= 4×π²×2×3²
a=710.6 m/s²
A solid sphere of radius R carries a fixed, uniformly distributed charge q. Obtain an expression for the magnitude of the electric field created by the sphere at a point P outside the sphere.
Answer:
The electric field outside the sphere will be [tex]\dfrac{qr}{4\pi\epsilon_{0}R^3}[/tex].
Explanation:
Given that,
Radius of solid sphere = R
Charge = q
According to figure,
Suppose r is the distance between the point P and center of sphere.
If [tex]\rho[/tex] be the volume charge density,
Then, the charge will be,
[tex]q=\rho\times\dfrac{4}{3}\pi R^3[/tex].....(I)
Consider a Gaussian surface of radius r.
We need to calculate the electric field outside the sphere
Using formula of electric field
[tex]\oint{\vec{E}\cdot \vec{dA}}=\dfrac{Q}{\epsilon_{0}}[/tex]
[tex]E\times4\pi r^2=\dfrac{\rho\dotc \dfrac{4}{3}\pi r^3}{\epsilon_{0}}[/tex]
Put the value from equation (I)
[tex]E\times4\pi r^2=\dfrac{qr^3}{\epsilon_{0}R^3}[/tex]
[tex]E=\dfrac{qr}{4\pi\epsilon_{0}R^3}[/tex]
Hence, The electric field outside the sphere will be [tex]\dfrac{qr}{4\pi\epsilon_{0}R^3}[/tex].
1. What is the significance of the slopes of the two graphs?
2. Using the graphs, calculate the acceleration for each scenario?
3. What is the relationship between force, mass, and acceleration? Explain using data
Answer:
1. The velocity of the wagon decreases when Tradi is in the wagon because the mass increases while the external force stays constant.
2. The basic formula for calculating acceleration is a=F/a
Tommy along, acceleration: it will be 2.5 m/s^2. a=100/40
Tommy + Tradi = it will be about 1.66 m/s^2 since a=100/60
3. Well, you see, F=ma, when mass increases, the force decreases.
The relationship between mass and force is inversely proportional.
According to the graphs, velocity increases when there's less mass, which you could say that they are also inversely proportional.
Another comparison,
As the force applied on an object increases, when the mass stays constant, the acceleration also increases. Which means that they are directly proportional.
the combined focal length of two thin lens is 24 cm and the focal length of one converging lens is 8
cm what is the focal length of the other
Answer: f = -12 cm
Explanation: Combined lenses is an array of simple lenses with a common axis. The combination is useful for correction of optical aberrations which cannot be corrected by simple lenses.
When two lenses are in contact and are thin, focal lengths are related as:
[tex]\frac{1}{F} =\frac{1}{f_{1}} +\frac{1}{f_{2}}[/tex]
If there is a distance between the lenses, the focal length will be:
[tex]\frac{1}{F} =\frac{1}{f_{1}} +\frac{1}{f_{2}} -\frac{d}{f_{1}f_{2}}[/tex]
Since the lenses in the question above are thin and in contact, the focal length of one of them will be:
[tex]\frac{1}{F} =\frac{1}{f_{1}} +\frac{1}{f_{2}}[/tex]
[tex]\frac{1}{f_{2}} =\frac{1}{f_{1}} -\frac{1}{F}[/tex]
[tex]\frac{1}{f_{2}} =\frac{1}{8} -\frac{1}{24}[/tex]
[tex]\frac{1}{f_{2}} =\frac{-2}{24}[/tex]
[tex]f_{2}=[/tex] -12
The focal length of the other lens is -12 cm, with the negative sign meaning it's a converging lens.
4. What is the tan gential velocity of an object moving in a path of radius 2m with an angular velocity of
3rad/s.pls help me
Answer:
6m/s
Explanation:
The tangential velocity is the product of the linear velocity and the radius. This is expressed as;
v = wr
w is the angular velocity = 3rad/s
r is the radius = 2m
Substitute
v = 3 * 2
v = 6m/s
Hence the tangential velocity of the object is 6m/s
1| Page
01. (a) (i) What is Polarization of a matter
(ii) draw in atomic view before and after
Answer:
Polarization occurs when an electric field distorts the negative cloud of electrons around positive atomic nuclei in a direction opposite the field. Polarization P in its quantitative meaning is the amount of dipole moment p per unit volume V of a polarized material, P = p/V.
Explanation:
Answer:
Polarization occurs when an electric field distorts the negative cloud of electrons around positive atomic nuclei in a direction opposite the field. Polarization( P) in its quantitative meaning is the amount of dipole moment (p) per unit volume V of a polarized material, where P = p/V.
How can a body have centripetal acceleration even if the speed is constant?
Please help me understand this it’ll be greatly appreciated!
Answer:
motion of an object—even if the object is maintaining a constant speed—still count as acceleration
Explanation:
Two ice skaters stand together. They push off and travel directly away from each other, the boy with a velocity of v = +0.35 m/s. If the boy weighs 745N and the girl 477 N, what is the girl's velocity after they push off? ( Consider the ice to be frictionless)_____m/s
Answer:
-0.55m/s
Explanation:
Given that: For the boy
Weight = 745N
Velocity = +0.35 m/s
Mass of the boy = ?
g = 9.81m/s^2
W = mg
745 = m×9.81
m = 75.94kg
For the girl
Given that:
Weight = 477 N
g = 9.81m/s^2
m = ?
W = mg
477 = m×9.81m/s^2
m = 48.62kg
To solve for the v of the girl, the two has to add up
48.62kg×v + 75.94kg×+0.35 m/s = 0
48.62v + 26.579 = 0
48.62v = - 26.579
v = -26.579/48.62
v = -0.5466
v = -0.55m/s
Hence, the velocity of the girl is -0.55m/s.
The negative sign is as a result of the two of them moving is opposite direction.
Which region contains the alkaline earth metal family of elements? A, B, C or D?
Answer:
B
Explanation:
B is the most likely region that contains alkaline earth family elements.
The alkaline earth metal family of elements is represented by B region in the figure.
What is alkaline earth metal?The alkaline earth metals are found on the periodic table in Group 2, which is on the far left side of the table between Group 1, the alkali metals, and Groups 3-12, the transition elements. This family is made up of six metals: beryllium, magnesium, calcium, strontium, barium, and radium.
What is periodic table?The periodic table, also known as the periodic table of the elements, is a tabular display of the chemical elements.
To know more about Alkaline earth metal here
https://brainly.com/question/11857448
#SPJ2
Select the correct answer.
What type of motion means to bounce or spring back?
Spin
Rotate
Rebound
Speed
Answer:
Rebound
Explanation:
Answer:
Rebound is your answer
Explanation:
To rebound is to bounce or
spring back after coming into
contact with another object.
Examples:
Rebound
• A basketball rebounds off the
backboard.
• A hockey puck rebounds off
the wall.
a ballon is filled with air. what forces are acting on the ballon and the air?
Answer: Three forces act significantly on a freely floating helium-
filled balloon: gravity, air resistance (or drag force), and a
buoyant force.
Explanation:
The air pressure on the bottom of the balloon is slightly higher than the air pressure on the top of the balloon (because of the altitude difference). This difference gives rise to the bouyant force. This force competes with gravity as the two main forces acting on the balloon. Every time your feet hit the ground when you are running, the ground hits your feet with an equal and opposite force. Newton’s third law explains how balloons and rocket engines work. When the neck of an inflated balloon is released, the stretched rubber material pushes against the air in the balloon. The air rushes out of the neck of the balloon.
How are energy and motion related?
Motion energy is indeed the total of kinetic and potential energies in a workable item. The energy contained in moving things is known as motion energy.
What is energy?In physics, energy is the capacity to accomplish work. It can be potential, kinetic, thermal, electric, chemical, radioactive, or in other forms. There is also heat and work, which is energy inside the process of being transferred through one body to the other. Energy is always classified according to its type once it has been transmitted.
The energy contained in moving things is known as motion energy, sometimes known as mechanical energy. More energy is saved when the thing goes quicker. Motion energy is indeed the total of kinetic and potential energies in a workable item.
Therefore, motion energy is indeed the total of kinetic and potential energies in a workable item.
To learn more about energy, here:
https://brainly.com/question/29763772
#SPJ2
Two points charge of 4\mu C and 2\mu C are placed at theopposite corners of a rectangle. What is the potential difference Va- Vb
Answer:
[tex]Va-Vb=168KV[/tex]
Explanation:
From the question we are told that
Two points charge of 4\mu C and 2\mu C
Generally we find the Va and Vb individually to find there difference
Given a rectangle with two equal sides each,Assume lengths for bot sides
Length L=0.3
Breath B=0.4
Diagonal D=[tex]\sqrt{0.3^2+0.4^2} =0.5[/tex]
at opposite sides
Mathematically Va can represented as
[tex]Va =k(\frac{4*10^_-_6}{0.3} +\frac{-2*10^_-_6}{0.5} )[/tex]
[tex]Va =9*10^9(\frac{4*10^_-_6}{0.3} +\frac{-2*10^_-_6}{0.5} )[/tex]
[tex]Va =9*10^9(0.00001333333-0.000004} )[/tex]
[tex]Va =84000V[/tex]
[tex]Va =84KV[/tex]
Mathematically Vb is represented as
[tex]Va =k(\frac{-4*10^_-_6}{0.3} +\frac{2*10^_-_6}{0.5} )[/tex]
[tex]Va =9*10^9(\frac{-4*10^_-_6}{0.3} +\frac{+2*10^_-_6}{0.5} )[/tex]
[tex]Va =9*10^9(-0.00001333333+0.000004} )[/tex]
[tex]Va =-84000V[/tex]
[tex]Va =-84KV[/tex]
Therefore
[tex]Va-Vb=84-(-84)\\Va-Vb=84+84\\Va-Vb=168KV[/tex]
Bro help me
Explain how an object with a higher temperature can have less thermal energy than an object with a lower temperature. ASAP
The total energy of all the particles makes up thermal energy. This implies that larger objects with slower-moving particles at low temperatures can have more energy than smaller ones with higher temperatures.
What is thermal energy?Thermal energy is the sum of the energies of all the particles. This implies that larger objects at low temperatures can have more energy than smaller ones at higher temperatures due to slower-moving particles.
These molecules and atoms move more quickly when something is heated, providing it with more thermal energy. Compared to cold water, hot water has more thermal energy.
Therefore, molecules and atoms in colder objects move more slowly and have less thermal energy than those in warmer ones. The ability of particles to transfer energy increases with speed.
To learn more about thermal energy, refer to the below link:
https://brainly.com/question/11278589
#SPJ2
Waves transport
over distances.
A. solids
B.
liquids
C.
gases
D.
energy
Answer:
d)energy
Explanation:
Waves can transfer energy over distance without moving matter the entire distance. For example, an ocean wave can travel many kilometers without the water itself moving many kilometers. The water moves up and down—a motion known as a disturbance. It is the disturbance that travels in a wave, transferring energy.
The first five harmonics for a vibrating string are shown in Figure24.13.a.For each harmonic, identify the number of wavelengths represented.b.For each harmonic, identify the number of nodes and antinodes that are present (include the ends of the string in your count).c.Which of the five harmonics has the highest natural frequency?d.Make a drawing that shows what the sixth harmonic would look like.
detergents are used to clean the clothes why
Answer:Detergent mixes with water to remove dirt and oil from clothes. Water can't remove oil and dirt from clothes. Detergent cleans by causing a chemical reaction with water to force dirt and debris out of clothing. Detergents work with water to loosen the dirt trapped in the material of clothing and clean them away.
Explanation:May i plz have brainlist only if u wanna give me brainlist though have an nice day!
How can the relationship between atomic number and the number of protons be described?
Answer:
It's the number of protons in the nucleus of the atom
Find the applied voltage of a telephone circuit that draws 0.017A through a resistance Of 5,000 ohms
Trolley A, of mass 180 g, is moving at a velocity of 4 m/s towards trolley B
which is stationary and has a mass of 120 g. Trolley A then collides with
trolley B.
Calculate the speed of trolley B if:
i the collision is elastic (trolley A stops and trolley B moves off)
Answer:
To solve typical questions like this we can use law of conversation of linear momentum...which isT.I.L.M.=T.F.L.M.(Total initial linear momentum = total final linear momentum.)
Momentum = mass × velocity
T.I.L.M = T.F.L.M180×4 + 120×0 = 180×0 + 120×V
(180 ×4)/120 = V
6Ms^-1 = vWhat is constant of a spring if there is 150 j when stretched 0.25 m?
Your car gets a flat! You go from 90 kilometers per hour to a stop in 6 seconds. What is your rate of deceleration? (it's negative!) I need this asap help
Answer:
at a rate of deceleration of -15 kilometers per second
Explanation:
90/6=15
The rate of deceleration when a car goes from 90km/h to 0 in 6 seconds is 4.16m/s².
HOW TO CALCULATE DECELERATION?The rate of deceleration can be calculated by using the following formula:
d = v - u/t
Where;
d = deceleration (m/s²)v = final velocity = 90km/h = 25m/su = initial velocity = 0km/h = 0t = time (s)d = 25 - 0/6
d = 4.16m/s²
Therefore, the rate of deceleration when a car goes from 90km/h to 0 in 6 seconds is 4.16m/s².
Learn more about deceleration at: https://brainly.com/question/4403243
please help me!!!!!!!!!!!!!!!
Answer:
3
Explanation:
i did it
A 3.6kg cat is laying on a tree branch, 3 meters above the ground. What is the cat’s potential energy?
Answer:
E = 105.84 J
Explanation:
Given that,
Mass of cat, m = 3.6 kg
It is laying 3 meters above the ground.
We need to find the cat's potential energy. The formula for the potential energy of an object is given by :
E = mgh
Substituting all the values,
E = 3.6 kg × 9.8 m/s²×3 m
E = 105.84 J
So, the cat's potential energy is 105.84 J.
A 125 g snowball is traveling with a speed of 22 m/s when it hits the fence. If the snowball is completely stopped by the fence and does not rebound, what is the impulse of the force of the fence on the snowball?
Answer: 2.75 kg*m/s
========================================
Explanation:
I'll use these variables
F = forcem = massa = accelerationv = velocityt = timei = impulsethough as shown below, we have the time variable cancel out
F = ma .... newton's second law
F = m*(v/t)
i = F*t
i = m*(v/t)*t
i = m*v
The impulse is the product of mass and velocity
In this case, we have
m = 125 grams = 0.125 kgv = 22 m/sSo,
i = m*v
i = (0.125 kg)*(22 m/s)
i = (0.125*22) kg*m/s
i = 2.75 kg*m/s
This is equivalent to 2.75 Ns where "Ns" is an abbreviation of "Newton seconds". It's effectively multiplying the Newton unit with the seconds unit.
The impulse is the change in momentum. So the snowball has a change of momentum of 2.75 kg*m/s
What average net force is required to accelerate a 3950 kg bus to a speed of 25m/s in 10.5 s?
Answer:
Explanation:
ACCELERATION = CHANGE IN VELOCITY
TIME TAKEN
∴ a = 25 - 0
10.5
∴ a = 50
21
by using f = ma,
we get , f = 3950 × 50
21
∴ A FORCE OF 9404.8 N IS NEEDED TO ACCELERATE A BUS OF 3950 KG.
A bike travels at 20mph for 5 hours, then 10 mph for 3 hours. What is the average speed?
How do i solve for it?
Answer:
10 mph
Explanation:
Question 3 (10 points)
The force of gravity depends on what two factors?
Question 3 options:
mass and distance
mass and acceleration
distance and time
velocity and displacement
Answer:
mass and distance
Explanation:
The force of gravity acting on a body depends on the mass of the body and the distance between the bodies.
This is based on Newton's law of Universal gravitation which states that "the force of gravity between two bodies is directly proportional to the product of their masses and inversely proportional to the distance between them".
We see that the more the masses between two bodies, and the lower their separation the more the gravitational force between them.
1. Determine the kinetic energy of a 625-kg roller coaster car that is moving with a speed of 18.3 m/s,
Answer:
104653.13J
Explanation:
Given parameters:
Mass of roller coaster = 625kg
Speed = 18.3m/s
Unknown:
Kinetic energy = ?
Solution:
The kinetic energy is the energy due to the motion of a body.
Kinetic energy = [tex]\frac{1}{2}[/tex] x m x v²
m is the mass
v is the speed
Kinetic energy = [tex]\frac{1}{2}[/tex] x 625 x 18.3² = 104653.13J
please helppppppppppp
Answer: 4
Explanation:
when energy is greater then frequency should increase and wavelength should decrease.
Therefore answer is 4
You push your friend, whose mass is 54kg, down a hill so she can go sledding. Her acceleration is 3m/s2. Calculate the amount of force you applied to your friend.
Answer:
18 newtons
Explanation:
Divide weight by speed