Answers
Answer:
Q = - 1.5 x 10⁻¹² Coulomb
Explanation:
While in the neutral state, the charge on the piece of purple plastic must be zero. So the net charge is due to the charge of the extra electrons. Therefore,
Q = ne
where,
Q = net charge on piece of purple plastic = ?
n = No. of extra electrons on piece of purple plastic = 9.31 x 10⁶ electrons
e = Charge on one electron = - 1.6 x 10⁻¹⁹ Coulomb
Therefore,
Q = (9.31 x 10⁶)(- 1.6 x 10⁻¹⁹ Coulomb)
Q = - 1.5 x 10⁻¹² Coulomb
Related Questions
What is the formula of energy
Answers
Answer:
Hey Buddy!
Explanation:
This is ur answer....
E = mc^2Hope it helps!
Brainliest pls!
Have a good day ~
Answer:
The formula for energy is E = mc²,where E is energy, m is mass, and c is the speed of light.
◉‿◉
A falling object satisfies the initial value problem dv dt = 9.8 − v 5 , v(0) = 0 where v is the velocity in meters per second. (a) Find the time that must elapse for the object to reach 95% of its limiting velocity. (Round your answer to two decimal places.) s (b) How far does the object fall in the time found in part (a)? (Round your answer to two decimal places.) m Additional Materials
Answers
Answer:
a. t \(\simeq\) 14.98 sec
b. x = 501.27 m
Explanation:
From the given information:
\(\dfrac{dv}{dt}=9.8-(\dfrac{v}{5 })\) and \(v(0)=0\)
\(\dfrac{dv}{dt}=\dfrac{49-v}{5 }\)
\(\dfrac{dv}{49-v}=\dfrac{dt}{5 }\)
Taking Integral of both sides
\(- ln(49-v) = \dfrac{t}{5} + C\)
at t=0 we have v=0
This implies that
\(- ln(49-0) = \dfrac{0}{5} + C\)
\(C= - ln(49)\)
Thus:
\(\dfrac{t}{5} - In (49) = - In (49 -v) \\ \\ In(49) - \dfrac{t}{5} = In (49-v)\)
\(49-v = e^{(-\frac{t}{5} +ln(49))}\\ \\ v = 49 - 49e^{(-\dfrac{t}{5})}\)
The limiting velocity when the time is infinite is :
95% of 49 = 46.55
∴
\(0.05= e^{(-\dfrac{t}{5})}\)
\(\dfrac{t}{5}= In(\dfrac{1}{0.05})\)
\(\dfrac{t}{5}=2.9957\)
t = 5 × 2.9957
t \(\simeq\) 14.98 sec
b.) \(v = 49 - 49e^{(-\dfrac{t}{5})}\)
\(v = \dfrac{dx}{dt}=49 - 49e^{(-\dfrac{t}{5})}\)
\(dx=(49 - 49e^{(-\frac{t}{5})}) \ dt\)
Taking integral of both sides.
\(x = 49t + 245 e^{(\frac{-t}{5})} +C\)
at time t = 0 , distance x traveled = 0
∴
C= - 245
Therefore
\(x = 49t + 245 e^{(\frac{-t}{5})} -245\)
replacing the value of t = 14.98
\(x = 49(14.98) + 245 e^{(\frac{-14.98}{5})} -245\)
x = 501.27 m
Classify the following as reversible or irreversible changes a) ripening of mango b) evaporation of water c) melting of ice candy d) curdling of milk
Answers
c) melting of ice candy is an physical change
hope it helps
Read each scenario and then answer the question. Scenario A: A 3 StartFraction N over m EndFraction spring is compressed a distance of 1.0 m. Scenario B: A 6 StartFraction N over m EndFraction spring is compressed a distance of 0.8 m. Scenario C: A 9 StartFraction N over m EndFraction spring is compressed a distance of 0.6 m. Scenario D: A 12 StartFraction N over m EndFraction spring is compressed a distance of 0.4 m. Which scenario generates the most elastic potential energy?
Answers
Answer:
The correct answer is B
Explanation:
Answer:
B
Explanation:
edge2o2o
Explain why for an observer at the North Pole the Sun changes its altitude in the sky over the year, but the stars do not.
Answers
Answer:
Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.
Explanation: sorry that i am late this came up late on my screen
The process of tilting the earth's axis is primarily responsible for the alteration in seasons. This reason is also validated by an observer at the North Pole the Sun changes its altitude in the sky over the year.
Why is the axis of the earth tilting?The axis of the earth is tilting because it is strongly impacted by the process of mass distribution over the planet Earth. The large accumulation of land mass and ice sheets in the northern hemisphere makes the top of the earth too heavy.
It is commonly seen throughout the year that different parts of Earth receive the Sun's most direct rays at different times. According to this, when the North Pole is tilted toward the Sun, it is found that there will be summer in the Northern Hemisphere.
Therefore, the process of tilting the earth's axis is primarily responsible for the alteration in seasons. This reason is also validated by an observer at the North Pole the Sun changes its altitude in the sky over the year.
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The amplitude of a lightly damped oscillator decreases by 3.42% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?
Answers
Answer:
The percentage of the mechanical energy of the oscillator lost in each cycle is 6.72%
Explanation:
Mechanical energy (Potential energy, PE) of the oscillator is calculated as;
PE = ¹/₂KA²
During the first oscillation;
PE₁ = ¹/₂KA₁²
During the second oscillation;
A₂ = A₁ - 0.0342A₁ = 0.9658A₁
PE₂ = ¹/₂KA₂²
PE₂ = ¹/₂K (0.9658A₁)²
PE₂ = (0.9658²)¹/₂KA₁²
PE₂ = (0.9328)¹/₂KA₁²
PE₂ = 0.9328PE₁
Percentage of the mechanical energy of the oscillator lost in each cycle;
\(Change \ in \ percent= \frac{PE_2 - PE_1}{PE_1} \\\\Change \ in \ percent= \frac{0.9328PE_1 -PE_1}{PE_1} *100\\\\Change \ in \ percent= \frac{-0.0672PE_1}{PE_1}*100 \\\\Change \ in \ percent= -0.0672*100\\\\Change \ in \ percent= -6.72 \ \% \\\\Loss \ in \ percent= 6.72 \ \%\)
Therefore, the percentage of the mechanical energy of the oscillator lost in each cycle is 6.72%
What is the force of gravitational attraction between an object with a mass of 100 kg and another object that has a mass of 300 kg and are at a distance of 2m apart
Answers
Answer:
5 x 10⁻⁷N
Explanation:
Given parameters:
Mass of object 1 = 100kg
Mass of object 2 = 300kg
Distance = 2m
Unknown:
Force of gravitational attraction between the objects = ?
Solution:
From Newton's law of universal gravitation we derive an expression:
Fg = \(\frac{G m_{1} m_{2} }{r^{2} }\)
G is the universal gravitation constant = 6.67 x 10⁻¹¹
m is the mass
r is the distance between the bodies
Now insert the parameters and solve;
Fg = 6.67 x 10⁻¹¹ x \(\frac{100 x 300}{2^{2} }\) = 5 x 10⁻⁷N
Write two or three sentences to describe the conductivity of a conductor. Explain its conductivity in terms of the electrons in it.
Answers
The conductivity of a conductor refers to its ability to conduct electrical current.
A material that has high conductivity allows electrical charges to flow through it easily and with little resistance, while a material with low conductivity does not allow electrical charges to flow as easily and has more resistance.
The conductivity of a conductor is determined by the number of free electrons in the material, as well as how easily these electrons can move through the material.
In a conductor, the atoms are closely packed together and the electrons are not tightly bound to the atoms, allowing them to move freely through the material and carry an electrical charge. This facilitates the flow of electrical current through the material, resulting in high conductivity.
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A block of wood 3 cm on each
side has a mass of 27 g. What is the
density of the block? (Hint, don't
forget to find the volume of the
wood first using lx W h.)
Answers
Answer:
1g/cm3
Explanation:
volume of block is 3 cubed which is 27 cm3
we know density is m/v so d= 27g/27cm3
which is 1g/cm3
if my answer helps please mark as brainliest
1. Newton's third law states that any action will have a(n) and reaction O A. Equal and opposite O B. Greater and opposite C. Equal and similar D. Equal and different
Answers
Answer: Equal and Opposite
Explanation:
The half-life of Silver-105 is 3.57 x 106 seconds. A sample contains 5.78 x 1017 nuclei. What is the decay constant for this decay?
Answers
Answer:
The decay constant, or "lambda" (λ), is the rate at which a radioactive isotope decays. It is usually measured in units of inverse time, such as seconds. In this case, the decay constant can be calculated as follows:
16:42
λ = (ln(2)/3.57 x 106) x (5.78 x 1017) = 0.
Explanation:
explain magnetic flux
Answers
What is the answer please help help ( science)
Answers
Answer:
Number 19
10 x 7.2
72N
Explanation:
20.
1.66 x 7.2
11.9
Which is approximately
12N
Stefan pushes a cart with three books so it just reaches the end of a track. He puts six books onto the cart. What must he use next time so the cart reaches the end of the track?
Answers
Answer:
if its adding its 9 if its multiplying its 18 if its division its 2
A group of students are eating in the cafeteria. As they eat, the students break down the molecules in the food, which releases the energy. Which form of energy is stored in the food? A. Chemical energy B. Elastic energy C. Nuclear energy D. Thermal energy
Answers
A group of students are eating in the cafeteria. As they eat, the students break down the molecules in the food, which releases the energy. They are releasing the stored chemical energy within the food, enabling their bodies to perform various activities and functions.
The correct answer is option A.
The form of energy stored in food is chemical energy. Chemical energy is a type of potential energy that is stored in the bonds between atoms and molecules within substances. When food is consumed, it undergoes a process called digestion, where complex molecules such as carbohydrates, proteins, and fats are broken down into simpler molecules such as glucose, amino acids, and fatty acids. These molecules are then further broken down through cellular respiration, a biochemical process that occurs in cells, to release energy.
During cellular respiration, the bonds within the molecules of food are broken, and their stored chemical energy is converted into a more readily usable form of energy called adenosine triphosphate (ATP). ATP is a molecule that acts as a cellular energy currency, providing energy for various cellular processes. This energy is essential for the functioning of cells, tissues, and organs in the body.
So when a group of students are eating in the cafeteria they break down the molecules in the food, which releases the energy and chemical energy is stored in the food.
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A CD is spinning on a CD player. In 12 radians, the cd has reached an angular speed of 17 r a d s by accelerating with a constant acceleration of 3 r a d s 2 . What was the initial angular speed of the CD
Answers
Answer:
The initial angular speed of the CD is equal to 14.73 rad/s.
Explanation:
Given that,
Angular displacement, \(\theta=12\ rad\)
Final angular speed, \(\omega_f=17\ rad/s\)
The acceleration of the CD,\(\alpha =3\ rad/s^2\)
We need to find the initial angular speed of the CD. Using third equation of kinematics to find it such that,
\(\omega_f^2=\omega_i^2+2\alpha \theta\\\\\omega_i^2=\omega_f^2-2\alpha \theta\)
Put all the values,
\(\omega_i^2=(17)^2-2\times 3\times 12\\\\\omega_i=\sqrt{217}\\\\\omega_i=14.73\ rad/s\)
So, the initial angular speed of the CD is equal to 14.73 rad/s.
The parallel circuit at the right depicts two resistors connected to a voltage source. The voltage source (ΔVtot) is a 12-V source and the resistor values are 7.4 Ω (R1) and 3.9 Ω (R2).a. Determine the equivalent resistance of the circuit. b. Determine the current in each branch resistor:Current in R1 = Current in R2 = c. Determine the total current in the circuit.
Answers
Given:
Two resistors are connected in parallel.
The resistance of resistor 1 is
\(R1=\text{ 7.4}\Omega\)The resistance of resistor 2 is
\(R2\text{ = 3.9 }\Omega\)The value of the voltage source is
\(\Delta V_{tot}=\text{ 12 V}\)Required:
(a)The equivalent resistance of the circuit.
(b) The current in each branch of the resistor.
(c) The total current in the circuit.
Explanation:
(a) In a parallel circuit, the equivalent resistance can be calculated as
\(\begin{gathered} \frac{1}{R_{eq}}=\frac{1}{R1}+\frac{1}{R2} \\ =\frac{1}{7.4}+\frac{1}{3.9} \\ R_{eq}=\text{ 2.55 }\Omega \end{gathered}\)(b) In a parallel circuit, the voltage across each resistor is the same.
The current through the resistor R1 can be calculated according to Ohm's law
\(\begin{gathered} I_{R1}=\frac{V}{R1} \\ =\frac{12}{7.4} \\ =1.62\text{ A} \end{gathered}\)The current through the resistor R2 can be calculated as
\(\begin{gathered} I_{R2}=\frac{V}{R2} \\ =\frac{12}{3.9} \\ =3.08\text{ A} \end{gathered}\)(c) The total current in the circuit is the sum of the current through each branch.
Thus, the total current can be calculated as
\(\begin{gathered} I=I_{R1}+I_{R2} \\ =\frac{12}{7.4}+\frac{12}{3.9} \\ =\text{ 4.7 A} \end{gathered}\)Final Answer:
(
Which of these can help determine air pressure? Select the two correct answers.(1 point)
a. wind speed of the air
b. moisture in the air
c. temperature of the air
d. cloud patterns in the air
Answers
Answer:
Which of these can help determine air pressure? Select the two correct answers.(1 point)
a. wind speed of the air
b. moisture in the air
c. temperature of the air
d. cloud patterns in the air
Explanation:
hope this helps :)
Wind speed of the air and temperature of the air are the two correct options that can can help to determine air pressure.
(options a and c)
This is so because the number of molecules above a surface determines air pressure. Interestingly, as the number of molecules increases, they exert more pressure on a surface, and the total atmospheric pressure increases. By contrast, if the number of molecules decreases, so too does the air pressure.
Recall: The temperature of the gas is proportional to the average kinetic energy of its molecules. Faster moving particles will collide with the container walls more frequently and with greater force.
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4. Water is flowing at 12m/s in a horizontal pipe under a pressure of 600kpa
radius 2cm.
a. What is the speed of the water on the other side of 0.5cm radius?
b. What is the pressure of the other side?
Answers
Answer:
a. 192 m/s
b. -17,760 kPa
Explanation:
First let's write the flow rate of the liquid, using the following equation:
Q = A*v
Where Q is the flow rate, A is the cross section area of the pipe (A = pi * radius^2) and v is the speed of the liquid. The flow rate in both parts of the pipe (larger radius and smaller radius) needs to be the same, so we have:
a.
A1*v1 = A2*v2
pi * 0.02^2 * 12 = pi * 0.005^2 * v2
v2 = 0.02^2 * 12 / 0.005^2
v2 = 192 m/s
b.
To find the pressure of the other side, we need to use the Bernoulli equation: (600 kPa = 600000 N/m2)
P1 + d1*v1^2/2 = P2 + d1*v2^2/2
Where d1 is the density of the liquid (for water, we have d1 = 1000 kg/m3)
600000 + 1000*12^2/2 = P2 + 1000*192^2/2
P2 = 600000 + 72000 - 1000*192^2/2
P2 = -17760000 N/m2 = -17,760 kPa
The speed in the smaller part of the pipe is too high, the negative pressure in the second part means that the inicial pressure is not enough to maintain this output speed.
Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
Answers
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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How many cubic centimeters are in 5.2 liters?
Answers
Answer:
5200 cm3 I believe
Explanation:
Question 6
Which of the following is required for a liquid to become a solid?
А
chemical change
B
vaporization energy
С
an increase in kinetic energy
D
a decrease in thermal energy
Answers
Question↓
Which of the following is required for a liquid to become a solid?
Answer↓
an increase in kinetic energy Is The Answer
Particles in the liquid state move faster than particles in the solid state. Therefore, they have more kinetic energy.
xXxAnimexXx
have a great day!!! ^ω^
what is Archimedes principle
Answers
Explanation:
Hope it's help ❣
Answer:
a result stating that a body totally or partially immersed in a fluid is subject to an upward force equal in magnitude to the weight of fluid it displaces.
Explanation:
I dunnu
A block of mass 20 kg is being pulled by a force F on a rough horizontal surface. If the
coefficient of friction is 0.4, calculate
a) the normal force, N
b) the static frictional force, f
c) the minimum force required for the block to move with uniform speed
Answers
N - W = 0 because we aren’t accelerating in y direction.
W = mg = 20*9.8 = 196 Newtons
N -196 = 0
N = 196
The definition for frictional force is the normal force multiplied by the coefficient. Very simple formula.
N * us = Fs
196*0.4 = 78.4 Newtons
You kind of already found the minimum force. You would need to apply a force larger than 78.4
F - 78.4 = 0 because we are moving at a constant uniform speed
F = 78.4
Calculate the ratio of H+ ions to OH– ions at a pH = 8. Find the concentration of H+ ions to OH– ions listed in Table B of your Student Guide. Then divide the H+ concentration by the OH– concentration. Record this calculated ratio in Table A of your Student Guide. Compare your approximated and calculated ratios of H+ ions to OH– ions at a pH = 8. Are they the same? Why or why not? Record your explanation in Table A. What is the concentration of H+ ions at a pH = 8? mol/L What is the concentration of OH– ions at a pH = 8? mol/L What is the ratio of H+ ions to OH– ions at a pH = 8? :1 OR 1:
Answers
At pH = 8, the ratio of H+ ions to OH- ions is 1:1, indicating a neutral solution. The concentration of H+ ions and OH- ions is approximately 1 x 10^(-8) mol/L. The calculated and approximated ratios should match.
To calculate the ratio of H+ ions to OH- ions at pH = 8, we need to use the relationship between pH and the concentration of H+ ions. The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution based on the concentration of H+ ions.
The formula to calculate the concentration of H+ ions (\(C_H\)+) from pH is:
\(C_H\)+ = \(10^(^-^p^H^)\)
Substituting pH = 8 into the formula:
\(C_H\)+ = \(10^(^-^8^))\)
Using the properties of logarithms, we can calculate the concentration of H+ ions:
\(C_H\)+ ≈ 1 x \(10^(^-^8^))\) mol/L
According to the concept of neutrality in water, the concentration of H+ ions is equal to the concentration of OH- ions. Therefore, the concentration of OH- ions (\(C_O_H\)-) is also approximately 1 x \(10^(^-^8^))\)mol/L.
To calculate the ratio of H+ ions to OH- ions, we divide the concentration of H+ ions by the concentration of OH- ions:
Ratio = \(C_H\)+ / \(C_O_H\)-
Ratio = (1 x \(10^(^-^8^))\) / (1 x \(10^(^-^8^))\))
Ratio = 1:1
The ratio of H+ ions to OH- ions at pH = 8 is 1:1, indicating a neutral solution. This means that the concentration of H+ ions is equal to the concentration of OH- ions, resulting in a balanced ratio.
When comparing the calculated ratio of 1:1 to the approximated ratio at pH = 8, they should be the same because the ratio of H+ ions to OH- ions is determined solely by the pH value, which is consistent and mathematically derived. Therefore, the approximated and calculated ratios should match.
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please help me i need to finish this
Answers
Density is mass per unit volume, so to get the density of each metal, divide the corresponding mass by the volume.
• Metal 1:
(22.1 g)/(3.00 cm³) ≈ 7.37 g/cm³
• Metal 2:
(42.0 g)/(4.00 cm³) = 10.5 g/cm³
• Metal 3:
(9.32 g)/(5.00 cm³) ≈ 1.86 g/cm³
• Metal 4:
(8.13 g)/(3.00 cm³) = 2.71 g/cm³
Two boats start together and race across a 50-km-wide lake and back. Boat A goes across at 50 km/h and returns at 50 km/h. Boat B goes across at 25 km/h, and its crew, realizing how far behind it is getting, returns at 75 km/h. Turnaround times are negligible, and the boat that completes the round-trip first wins.
Required:
a. Which boat wins?
b. What is the average velocity of the winning boat?
Answers
Answer:
Boat A wins and 50km/hr
Explanation:
To solve this problem we need to calculate the time required for both boats to make the round trip.
For Boat A.
The time required for the first trip =distance/ speed = 50/50 = 1h
For the return trip the time is same since it's the same distance on the same speed.
Hence the time taken for boat A to make the round trip is 2hrs.
For boat B,
The time required for the first trip =distance/ speed = 50/25 = 2h
The time for the return trip is;
=distance/ speed = 50/75 = 2/3h= 2/3×60= 40mins
By comparing both time.
Boat A requires less time hence Boat A wins.
2.The average velocity of the winning boat is the velocity of boat A.
Which is total distance/ total time for the trip.
100km/2hrs = 50km/hr
boat A would win the race and the average velocity of the winning boat would be 50 km/h
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
As given in the problem Two boats start together and race across a 50-km-wide lake and back. Boat A goes across at 50 km/h and returns at 50 km/h. Boat B goes across at 25 km/h, and its crew, realizing how far behind it is getting, returns at 75 km/h.
Turnaround times are negligible, and the boat that completes the round-trip first wins
Average velocity of the boat A = ( 50 + 50 ) / 2
= 50 km /h
Thus, boat A would win the race and the average velocity of the winning boat would be 50 km/h
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Scientists observe an approaching asteroid that is on a collision course with
Earth. They devise a plan to launch a rocket that will collide with the asteroid
inelastically and stop it. The mass of the asteroid is 9000 kg, and it is
approaching Earth at 45 m/s. If the rocket has a mass of 1800 kg, what
velocity must it have to completely stop the asteroid after collision?
OA. - 225 m/s
B. 306 m/s
OC. 45 m/s
D. - 116 m/s we
Answers
The velocity of the rocket must be -225 m/s (negative indicating opposite direction) to completely stop the asteroid after the collision.
To completely stop the asteroid after collision, we can apply the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
The momentum of an object is given by the product of its mass and velocity:
momentum = mass * velocity
For the asteroid before collision:
momentum_asteroid = mass_asteroid * velocity_asteroid
For the rocket before collision:
momentum_rocket = mass_rocket * velocity_rocket
Since the rocket collides inelastically with the asteroid, they stick together after the collision. The final velocity of the combined system (rocket and asteroid) will be zero since they come to a complete stop. Therefore, the total momentum after the collision is zero:
momentum_after_collision = (mass_asteroid + mass_rocket) * 0
Using the principle of conservation of momentum, we can set the initial momentum equal to the final momentum:
momentum_asteroid + momentum_rocket = momentum_after_collision
mass_asteroid * velocity_asteroid + mass_rocket * velocity_rocket = 0
Substituting the given values:
9000 kg * 45 m/s + 1800 kg * velocity_rocket = 0
Simplifying the equation, we can solve for the velocity of the rocket (velocity_rocket):
velocity_rocket = - (9000 kg * 45 m/s) / 1800 kg
velocity_rocket = - 225 m/s
Therefore, the velocity of the rocket must be -225 m/s (negative indicating opposite direction) to completely stop the asteroid after the collision.
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A half-ring (semicircle) of uniformly distributed charge Q has radius R. What is the electric potential at its center
Answers
The electric potential at the center of the half-ring is \(\frac{kQ}{R}\).
Electric force experienced by the chargeThe force experienced by the charge is calculated by Coulomb's law;
\(F = \frac{kQ^2}{R^2}\)
Electric field strengthThe electric field strength is force per unit charge;
\(E = \frac{F}{Q} = \frac{kQ}{R^2}\)
What is electric potential?The electric potential is work done in moving a charge from infinity to a certain point.
V = Ed
\(V = \frac{kQ}{R^2} \times R\\\\V = \frac{kQ}{R}\)
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When a 480 Hz. tuning fork and a piano key are struck together, four beats per second are heard. When a 470 Hz. tuning fork and a piano key are struck together, four beats per second are heard. What is the frequency of the piano key? unknown piano key = _____Hz 476 478 477 475
Answers
the frequency of the piano key is 476 Hz.
What is frequency?Frequency describes the number of waves that pass a fixed place in a given amount of time. In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.
Given, When a 480 Hz. tuning fork and a piano key being struck together, four beats per second are heard.
The frequency of the tuning fork, Nf = 480 Hz
Beats heard at this frequency, x = 4 beats/second
When a 470 Hz. tuning fork and a piano key being struck together, four beats per second are heard.
The equation for the Frequency of the piano,
Np = Nf - x
Np = 480 - 4
Np = 476 Hz
When tension has increased the frequency also increased. As the number of beats decreased, the frequency of the string must be less than 480 Hz.
Therefore, the frequency of the piano key is 476 Hz.
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