The sphere located at the opposite end of the aluminum rod does not acquire an electric charge.
The presence of a comb, held near one end of the rod, causes electrons from the rod to flow towards the comb due to its negatively charged electrons. This leads to a rearrangement of electrons within the rod, but not to the generation of an electric charge at the other end, which is too distant to be impacted by the comb.
Since both the comb and the rod are made of non-conductive materials, the flow of electrons is restricted and the rearrangement of electrons is limited, thus the sphere remains uncharged.
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calculate the kinetic energy that the earth has because of
The kinetic energy of the Earth due to its motion can be calculated using the formula for kinetic energy, which is given by K.E. = (1/2) * m * \(v^{2}\), where m is the mass and v is the velocity of the Earth.
The Earth is in constant motion, orbiting around the Sun. Its velocity is determined by the orbital speed, which is approximately 29.8 kilometers per second. The mass of the Earth is approximately 5.972 × \(10^{24}\) kilograms.
By substituting these values into the formula, we can calculate the kinetic energy of the Earth. However, it is worth noting that the kinetic energy of the Earth due to its orbital motion is quite small compared to its total energy. The majority of the Earth's energy is in the form of potential energy due to its gravitational interaction with other celestial bodies.
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A tractor pulls a trainer at a constant speed the tractor exerts a forward force of 1600N on the trailer. What is the force exerted by the trailer on the tractor?
Answer: 1600N backwards.
Explanation: This falls into the third law.
A man weighing 70 kg runs alongside railroad tracks with a velocity of
18 km/h, and jumps into a car of weight 100 kg standing on the tracks.
Calculate the velocity with which the car and man will start moving.
Answer:
Mass of man (m1) = 60kg
Initial velocity of man (u1) = 18 km/h=18x5/18=5m/s
Final velocity of man (v1) = (v2) = v
Mass of car (m2)= 100kg
Initial velocity of car (u2) = 0 (as it is in rest)
Final velocity of car (v2) = v
According to law of conservation of momentum,
m1u1 +m2u2 = m1v1 + m2v2
60x5 + 100x0 = 60 x v + 100 x v
300+0 = 160v
v = 300/160
v = 1.875 m/s
A person uses a force of 7 N to drag a garbage can a distance of 15 m. How much work is done on the garbage can?
Which two options are forms of potential energy?
O A. Electrical energy
B. Elastic energy
O C. Magnetic energy
D. Light energy
O E. Sound energy
A. Electrical energy B. Elastic energy are the forms of potential energy.
What is potential energy?Potential energy is the energy possess by an object because due to its position relative to other objects, stresses within itself, its electric charge, or other factors.
Types of Potential energy:
Elastic potential energy - It is stored in objects that can either be stretched or compressed. The more the object is stretched or compressed, the more elastic potential energy it will have. A classic example is a stretched rubber bandElectric potential energy - Is the energy that is needed to move a charge against an electric field. We need more energy to move a charge in the electric field, but also more energy to move it through a stronger electric field.Therefore,
Electrical energy , Elastic energy are the forms of potential energy.
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Two forces one of 12N and another of 5N act on a body in such away that they makes an angle of 90 digre with each other,what is the resultant?
Answer:
Sorry I didn't know the answer
why is unit of force called derived unit
Answer:
because these units are derived from combinations of two or more of the seven base units
A piece of putty moving with 2 units of momentum strikes and sticks to a heavy bowling ball that is initially at rest. After the putty sticks to the ball, both are set in motion with a combined momentum that is.
Following the putty's adhesion to a ball, both are propelled forward by the combined momentum of two units.
What is meant by momentum in physics?Momentum was defined as the amount the the body's motion. As momentum depends on both velocity and the direction of a body's motion, it is quantified by "mass velocity". Since velocity is indeed a vector and mass is a scalar, momentum is a vector. Mass times speed equals momentum.
What is momentum in real life?Quantity may be assessed in the this scenario since a moving item has mass and momentum. If such an object is stationary, it has no momentum.
Briefing:The system's momentum is conserved in this instance of an inelastic collision.
Here, the principle of momentum conservation will be applied.
As either a result, following a collision, the combined momentum will equal the initial momentum. The answer "2 units" is the one that is right.
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elastic potential energy: an athlete stretches a spring an extra 40.0 cm beyond its initial length. how much energy has he transferred to the spring, if the spring constant is 52.9 n/cm?
An athlete stretches a spring an extra 40.0 cm beyond its initial length. The amount of energy transferred to the spring is b) 4230 J, if the spring constant is 52.9 N/cm
We can calculate using the below formula,
E= 1/2 kΔx²
where E is the energy transferred, k is the spring constant, and Δx is the displacement from the equilibrium position.
The equation for energy stored in the spring is given as follows:
E = 1/2 k x²
where E is the energy, x is the displacement from the equilibrium position, and k is the spring constant of the spring.
The amount of energy transferred to the spring is determined using the formula for the energy stored in the spring.
E = 1/2 k Δx²
Where E is the energy, Δx is the displacement from the equilibrium position, and k is the spring constant of the spring.
Given that the displacement, Δx = 40.0 cm and the spring constant, k = 52.9 N/cm.
We will substitute these values into the equation for energy transferred:
E = 1/2 k Δx²= 1/2 (52.9 N/cm) (40.0 cm)²= 1/2 (52.9 N/cm) (1600 cm²)= 4230 J
Therefore, the amount of energy transferred to the spring is b) 4230 J
The Question was Incomplete, Find the full content below :
An athlete stretches a spring an extra 40.0 cm beyond its initial length. How much energy has he transferred to the spring, if the spring constant is 52.9 N/cm?
a) 4230 kJ
b) 4230 J
c) 423 kJ
d) 423 J
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What is the output of following circuit
Answer: atmosphesracicallycongenial thats the answer write that to your paper
Explanation:output is an intelligent honor to know the science subjecsts and many more than the circuit
The force that always opposes the motion of an object is called _________.
inertia
acceleration
friction
The force that always opposes the motion of an object is called friction. Friction is the force that resists the motion of two surfaces that are in contact with each other.
What is force?Force is an external influence that can cause an object to accelerate, decelerate, change direction, maintain its current state, or experience a combination of these effects. Forces can be either contact forces, such as friction, normal force, and applied force, or non-contact forces, such as gravity, magnetic force, and electrical force. The magnitude of a force is measured in terms of its strength, while the direction of a force is measured in terms of its direction. Force is an integral part of physics and is used to explain and predict a wide range of physical events. Force is a fundamental concept for understanding how the physical universe works.
It is caused by the interaction of the two surfaces as they interact with each other. Friction can be static, which is the force that resists the motion of two surfaces that are in contact with each other but not moving, or kinetic, which is the force that resists the motion of two surfaces that are in contact with each other and moving.
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what is the linear velocity in miles per hour of the tip of a lawnmower blade spinning at 3000 revolutions per minute in a lawnmower that cuts a path that is 18 inches wide?
The linear velocity in miles per hour of the tip of the lawnmower blade spinning at 3000 revolutions per minute in a lawnmower that cuts a path 18 inches wide is approximately 2.67 miles per hour.
To determine the linear velocity in miles per hour of the tip of the lawnmower blade, we need to use the following formula:
v = ωr\
Where:
v is the linear velocity of the tip of the lawnmower blade in miles per hour
ω is the angular velocity of the lawnmower blade in radians per minute
r is the radius of the lawnmower blade
We know that the lawnmower blade is spinning at 3000 revolutions per minute. To convert revolutions per minute to radians per minute, we need to multiply by 2π. So, the angular velocity of the lawnmower blade is: ω = 3000 rpm * 2π/60 = 314.16 rad/min
The lawnmower blade's radius is half the width of the path it cuts. Since the path is 18 inches wide, the radius is: r = 18 inches / 2 = 9 inches. To convert inches to miles, we need to divide by 63,360 (the number of inches in a mile). So, the radius in miles is:
r = 9 inches / 63,360 inches/mile = 0.000142 miles
Now, we can use the formula to find the linear velocity:
v = ωr = 314.16 rad/min * 0.000142 miles = 0.0445 miles/min
To convert miles per minute to miles per hour, we need to multiply by 60. So, the linear velocity in miles per hour is:
v = 0.0445 miles/min * 60 min/hour = 2.67 miles/hour
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Fig. shows 3 capacitors, of equal capacitance C, connected to a battery of voltage V. What is the equivalent capacitance of this combination
Option E is correct. The equivalent capacitance of the series combination of three capacitors with equal capacitance C connected to a battery of voltage V is C/3.
When capacitors are connected in series, the total capacitance is given by the reciprocal of the sum of the reciprocals of individual capacitances. In this case, since the three capacitors have equal capacitance C, the total capacitance (\(C_{eq}\)) can be calculated as:
\(1/C_{eq} = 1/C + 1/C + 1/C\)
Simplifying the expression:
\(1/C_{eq} = 3/C\)
Taking the reciprocal of both sides:
\(C_{eq} = C/3\)
Therefore, the equivalent capacitance of the series combination of three equal capacitors is C/3.
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The complete question is:
Fig. shows 3 capacitors, of equal capacitance C, connected to a battery of voltage V. What is the equivalent capacitance of this combination
A) 3 C
B) C/2
C) 3C/2
D) 2C/3
E) C/3
The equivalent capacitance of the combination depends on how the capacitors are connected. If they are connected in series, the equivalent capacitance can be calculated using the formula 1/(1/C1 + 1/C2 + 1/C3). If they are connected in parallel, the equivalent capacitance is the sum of the individual capacitances.
Explanation:To find the equivalent capacitance of the combination shown in Fig., we need to consider the individual capacitors' connections. In this case, all 3 capacitors have the same capacitance C. If the capacitors are connected in series, their equivalent capacitance is given by the formula:
Cp = 1/(1/C1 + 1/C2 + 1/C3). If the capacitors are connected in parallel, their equivalent capacitance is simply the sum of the individual capacitances: Cp = C1 + C2 + C3.
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how cold does it have to be to freeze water instantly
The technique of "supercooling" is what causes this immediate freezing. Water bottles may be instantly converted into interesting items by adding salt, ice, and water. Until something, such as a tapping motion, swiftly starts the freezing process, supercooled water will stay a liquid.
What is the condition for freeze water formation?A 16-ounce water bottle made of plastic will freeze in about 90 minutes at 0 degrees Fahrenheit in a typical freezer. It will take roughly 45 minutes to freeze a smaller 8 ounce bottle of water.
Start by putting two water bottles in the freezer and setting a timer for two hours and fifteen minutes. These bottles must remain undisturbed for the full two hours and fifteen minutes.
Therefore, Although the air comes close to freezing water instantly, which occurs at minus 42 degrees,
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Describe an experiment to show that water pressure increases with depth.
Answer:
See Below
Explanation:
An easy experiment would be to take a sealed aluminum can that only contains air. Tie the can to a heavy object that will sink in deep water. As the object and the can sink in the water, you will see that the can will begin to crush inward and eventually it will implode. The can will be compressed by the water pressure which will compress the air inside the can. The pressure inside the can will become to great for the can to be able to hold. The can will rupture to allow the compressed air out.
what’s the equation for this
a boat can travel with a speed of 12km/hr in still water if the speed of the stream is 3km/hr, find the time taken by the boat to go 60 km downstream
With a speed of 12 km/hr in still water and a stream speed of 3 km/hr, the boat's downstream speed is calculated to be 15 km/hr. Hence, it would take 4 hours for the boat to cover a distance of 60 km downstream.
Speed of boat in still water = 12 km/hr
Speed of stream = 3 km/hr
Time taken by the boat to go 60 km downstream
We know that Speed = Distance/Time.
So, Time = Distance/Speed.
Let the distance covered downstream be D.
The speed of the boat downstream is calculated by adding the speed of the boat in still water and the speed of the stream:
Speed of boat downstream = Speed of boat in still water + Speed of stream
= 12 + 3
= 15 km/hr
Using the formula Time = Distance/Speed, we can determine the time taken by the boat to go 60 km downstream:
Time taken by the boat to go 60 km downstream = Distance/Speed
= 60/15
= 4 hours.
Therefore, the time taken by the boat to go 60 km downstream is 4 hours.
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Calculate the change in the gravitational potential energy store of the following objects.
A cat with a mass of 3 kg climbs a tree, reaching a final height of 4.5 m (g = 9.8 N/kg).
Silver
Change in gravitational potential energy store =
Explanation:
Gravitational potential energy is energy an object possesses because of its position in a gravitational field. ... Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules.
So, the PE is
3 x 9.8 x 4.5 = 132.3 J
HELP PLZZZ!!!! Hurry
3. What does doubling the number of coils do to the strength of the electromagnet?
4. What does doubling the voltage do to the strength of the electromagnet?
5. Using the graph, predict how many paper clips a 7.5 V battery would pick up for both the 25-
coil electromagnet and the 50-coil electromagnet.
6. Calculate the slope of the 25-coilline and the 50-coil line to determine the average number of
paper clips that a 1 V battery would pick up.
Answer:
3. When the number of turns, N is doubled, the strength of the electromagnet is also doubled
4. Doubling the voltage, doubles the strength of the electromagnet
5. The number of paper clips a 7.5 V battery would pick is approximately 28 paper clips
The number of paper clips a 7.5 V battery would pick is 59 paperclips
6. For the 50-coil electromagnet, the average number of paper clips a 1 V battery would pick is approximately 7 paperclips
For the 50-coil electromagnet, the average number of paper clips a 1 V battery would pick is 16 paperclips
Explanation:
3. The Magnetomotive Force, MMF = The Number of Turns on the Coil, N × The Current I Flowing in the Coil, I
∴ MMF = N × I
When the number of turns, N is doubled, the magnetomotive force, MMF is also doubled, and the strength of the electromagnet is doubled
4. Given that the voltage, V applied to the coil = The current, I flowing × The resistance, R of the coil, we have
V = I × R
Therefore, for a given constant resistance in the coil, doubling the voltage, doubles the current and therefore doubles the strength of the electromagnet
5. The average slope for the 25-coil electromagnet = (23 - 12)/(6 - 3) = 3.\(\bar 6\)
The number of paper clips a 7.5 V battery would pick = 12 + (7.5 - 3) × 11/3 = 28.5 paperclips ≈ 28 paper clips
The average slope for the 50-coil electromagnet = (48 - 26)/(6 - 3) = 7.\(\bar 3\)
The number of paper clips a 7.5 V battery would pick = 26 + (7.5 - 3) × 22/3 = 59 paperclips
6. The slope calculated from a start point of approximately 0.4 V, is given as follows;
The slope for the 25-coil electromagnet = (12 - 6)/(3 - 0.4) = 30/13
Therefore, for the 25-coil electromagnet, the average number of paper clips a 1 V battery would pick = 6 + (1 - 0.4) × 30/13) = 96/13 ≈ 7 paperclips
The slope for the 50-coil electromagnet = (26 - 13)/(3 - 0.4) = 5
Therefore, for the 50-coil electromagnet, the average number of paper clips a 1 V battery would pick = 13 + (1 - 0.4) × 5 = 16 paperclips
3. When the number of revolutions, N, is twice, the electromagnet's strength is doubled as well.
4. Doubling the voltage doubles the electromagnet's strength.
5. The number of paper clips selected by a 7.5 V battery is 59.
6. For a 50-coil electromagnet, a 1 V battery would pull up around 7 paperclips on average. The average number of paper clips picked by a 1 V battery for a 50-coil electromagnet is 16 paperclips.
What is electromagnet?The magnetic field of an electromagnet is created by an electric current. Electromagnets are caused from conducting wire wriggled into a coil.
A magnetic field is created in the hole by a current passing through the wire.
The magnetic field production is increased by;
1) increasing the number of turns
2) increase the area of the loop
3) by moving the magnet faster
Answer for the following given options as follows;
3. When the number of revolutions, N, is twice, the electromagnet's strength is doubled as well. Because the no of coils in the circuit is directly proportional to the strength of electromagnet.
4. From the ohm's law principal doubling the voltage twice the current and hence the electromagnet's strength for a given constant resistance in the coil increases.
5. For the 25-coil electromagnet, the average slope is ;
\(\rm m_{avg}= \frac{23-12}{6-3} \\\\ m_{avg}= 3\)
The number of paper clips selected by a 7.5 V battery is;
\(\rm n = 12+ (7.5-+3)\times \frac{11}{3}\\\\n = 28.5\)
For the 50-coil electromagnet, the average slope;
\(\rm (m_{avg})_{50}= \frac{48-26}{6-3} \\\\\ \rm (m_{avg})_{50}= 7\)
The number of paper clips selected by a 7.5 V battery is;
\(\rm N = 26+(7.5-3) \times \frac{22}{3} \\\\ N= 59\)
The following is the slope determined from a starting position of around 0.4 V:
For the 25-coil electromagnet, the slope is;
\(\rm m_{25}=\frac{12-6}{3-0.4} \\\\\ m_{25}=\frac{6}{2.6} \\\\ m_{25}=\frac{30}{13}\)
As a result, the average number of paper clips a 1 V battery would choose for the 25-coil electromagnet is;
\(\rm N_{25}=6+ (1-0.4)\times \frac{30}{13} \\\\ N_{25}=\frac{96}{13} \\\\ N_{25}= 7 \ paperclip\)
For the 50-coil electromagnet, the slope is;
(26 - 13)/(3 - 0.4) = 5.
As a result, the average number of paper clips picked by a 1 V battery is;
\(\rm N'_{50}= 13+ (1-0.14)\times 5 \\\\ N'_{50}=16\)
Hence,the average number of paper clips picked by a 1 V battery for a 50-coil electromagnet is 16 paperclips.
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A robin is flying around and its velocity vvv as a function of time ttt is given in the graph below where rightwards is the positive velocity direction. What is the robin's displacement \Delta xΔxdelta, x from t=0\,\text st=0st, equals, 0, start text, s, end text to 1.5\,\text s1.5s1, point, 5, start text, s, end text?
Answer:
-0.75
Explanation:
Khan Academy gives answer here.
Which dilution technique is a more suitable choice for the purpose of creating a calibration curve? How can you support your answer? 3. If the solution is blue-colored, what wavelength of light (in nm) is being absorbed? The wavelength being absorbed is 600nm. 4. What is being measured in "absorption spectra"? 5. Why is the wavelength of light set at maximum absorbance when making a Beer's Law Plot? 6. Which solution is expected to deviate from the straight line in a Beer's Law Plot: the more concentrated solution, the more diluted solution or both?
Serial dilution is a more suitable choice for creating a calibration curve. and The blue-colored solution is absorbing light with a wavelength of 600 nm. Absorption spectra measure the amount of light absorbed by a substance across a range of wavelengths and The wavelength of light is set at maximum absorbance when making a Beer's Law plot to ensure accurate and precise measurements. The more concentrated solution is expected to deviate from the straight line in a Beer's Law plot. Beer's Law assumes that the relationship between absorbance and concentration is linear.
1. Serial dilution is a more suitable choice for creating a calibration curve. Serial dilution involves diluting a stock solution multiple times to obtain a range of concentrations. This method allows for a wider range of concentrations and a more accurate representation of the relationship between concentration and response. By diluting the stock solution stepwise, a series of known concentrations can be prepared, enabling the construction of a calibration curve with multiple data points.
2. The blue-colored solution is absorbing light with a wavelength of 600 nm. Absorption of light occurs when the energy of the light matches the energy required to promote electrons to higher energy levels within the solution. In this case, the solution is absorbing light in the blue region of the electromagnetic spectrum, specifically at a wavelength of 600 nm.
3. Absorption spectra measure the amount of light absorbed by a substance across a range of wavelengths. By plotting the absorption as a function of wavelength, absorption spectra provide information about the wavelengths at which a substance absorbs light most strongly. This data can be used to identify the presence of specific compounds or functional groups based on their characteristic absorption patterns.
4. The wavelength of light is set at maximum absorbance when making a Beer's Law plot to ensure accurate and precise measurements. According to Beer's Law, there is a linear relationship between absorbance and concentration of a substance at a specific wavelength. By setting the wavelength at maximum absorbance, it allows for the highest sensitivity and ensures that the measurements are taken in the most responsive region of the absorption spectrum.
5. The more concentrated solution is expected to deviate from the straight line in a Beer's Law plot. Beer's Law assumes that the relationship between absorbance and concentration is linear, but at high concentrations, the absorption may deviate from linearity due to factors such as solute-solute interactions, changes in the refractive index, or the saturation of the absorbing species. Dilution helps to ensure that the relationship between absorbance and concentration remains linear within the measurable range.
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Describe an organism that might live in an extreme environment such as inside a volcano, deep in the ocean, or in an icy cave.
Answer:
If you haven’t read about the shark found swimming in and out of a segment of an undersea volcano, then you really need to get up to date.
Explanation:
I WILL MARK U HELP PLZ
The free body diagram for an object is projected. Calculate the net force acting on the object. If this object is 10 kg, how/where will it accelerate?
Explanation:
By the end of the section, you will be able to:
Apply problem-solving techniques to solve for quantities in more complex systems of forces
Use concepts from kinematics to solve problems using Newton’s laws of motion
Solve more complex equilibrium problems
Solve more complex acceleration problems
Apply calculus to more advanced dynamics problems
through this steps you will get the answer.thank youMontesquieu believed that in order for one person not to have all the power government should
Answer:
Montesquieu called the idea of dividing government power into three branches the "separation of powers." He thought it most important to create separate branches of government with equal but different powers. That way, the government would avoid placing too much power with one individual or group of individuals.
Explanation:
Two point charges of values +3.4 ?C and +6.6 ?C, respectively, are separated by 0.20 m. What is the potential energy of this 2?charge system? (ke = 8.99 109 N?m2/C2)
Electric Potential Energy
Electric potential energy of a system of charges is the work done in bringing the charges from infinite distances to their respective positions in the system. Total electric potential energy of a system is the sum of potential energies of each pair of charges of the system.
Potential energy of the 2-charge system: According to the question, we have two point charges of values +3.4 µC and +6.6 µC separated by 0.20 m. The potential energy of the two-point charge system is 820.41 J.
The formula for calculating the potential energy of the two-point charge system is given by;
U = (kq1q2)/d,
Where; U = potential energy of the system q1 = value of the first point charge
q2 = value of the second point charge,
k = Coulomb's constant = 8.99 × 10^9 Nm^2/C^2
d = separation distance between the two charges
Plugging in the values, we get;
U = [(8.99 × 10^9 Nm^2/C^2)(3.4 µC)(6.6 µC)]/(0.20 m)
U = 820.41 J (Joules)
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hi everyone im learning about zodiac signs can u plz share urs and somethings u like to for ex im an aquarius and i sing and like to play vollyball im an independent person·ω· tysm!!
Answer: Aquarius!!!!
Explanation:
Answer:
Lucky for you, I am a expert on zodiac signs! Not bragging bc I don't know capricorns. Sooooo, your a aquarius. Very nice, a air sign who like to make friends. The least popular of the air signs. I am a libra, the 2nd most popular of the air signs. Gemini is the most. Ask me what you want to know about on zodiac signs. i will answer.
Wait why can't I comment
Explanation:
A cyclist acceleration from 0m/s to 8m/s in 3second. what is his acceleration?
Answer:
2.66 m/s² .
Explanation:
Initial velocity , u = 0 m/s
Final Velocity , v = 8 m/s
Time Taken , t = 3 s
So , Acceleration = (v-u)/t = (8 m/s - 0 m/s) /3 sec . = 8/3 m/s² = 2.66 m/s²
you put a bottle of soft drink in a refrigerator and leave it until its temperature has dropped 10.0 k. what is its temperature change in (a) ◦f and (b) ◦c?
The correct answer is F = 18.
Given that it is a physical quantity, the temperature has units that can be used to measure it. Kelvin is used as the SI unit of temperature. However, we also use the units of Celsius and Fahrenheit to measure temperature. The temperature units are connected in the following way:
C = 5/9 (F - 32)
K = C + 273
Temperature is a physical characteristic that can be used to determine how cold or hot a body is. The scales to utilise for recording temperature are Celsius, Kelvin, or Fahrenheit, and these scales have a correlation to convert one reading into another scale reading.
Temperature change in Kelvin, K = 10K
Temperature change in Celsius
C = K
or C = 10
Temperature change in Fahrenheit
F =1.8C
or F = 1.8 x 10
or F = 18.
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Which of the following is a characteristic of a base?
A. pH greater than 7
B. pH between 4 and 13
C. pH between 4 and 9
D. pH less than 7
Answer:
A. pH greater than 7
Explanation:
Because a base has a pH scale of 8 to 14
A 13 500 N car traveling at 50.0 km/h rounds a curve of radius 2.00 × 102 m. Find the following: a. the centripetal acceleration of the car b. the centripetal force c. the minimum coefficient of static friction between the tires and the road that will allow the car to round the curve safely
Answer:
a. 0.947 m/s^2
b. 1304.54 N
c. 0.0966
Explanation:
mass of car = 13500 N = 13500/9.8 = 1377.55 kg
velocity = 50 km/h = 50,000 m/h = 13.9 m/s
raidus = 204 m
a. centripetal acceleartion = v^2/r = 13.9^2/204 = 0.947 m/s^2
b. centripetal force = m*centripetal acceleration = 1377.55 * 0.947 = 1304.54 N
c. In order for the car to round the curve safely, static friction = centripetal force
static friction = coefficient of friction (mu) * mg = mu* 1377.55*9.8 = 13500mu
13500mu = 1304.54
mu = 1304.54/13500 = 0.0966
The acceleration, force and coefficient of friction is required.
Centripetal acceleration is \(0.965\ \text{m/s}^2\)
Centripetal force is \(1328\ \text{N}\)
Coefficient of friction is \(0.1\)
N = Weight of car = 13500 N
v = Velocity = \(50=\dfrac{50}{3.6}=13.89\ \text{m/s}\)
r = Radius = \(2\times 10^2\ \text{m}\)
m = Mass of car = \(\dfrac{N}{g}\)
g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)
Centripetal acceleration is
\(a_c=\dfrac{v^2}{r}\\\Rightarrow a_c=\dfrac{13.89^2}{2\times 10^2}\\\Rightarrow a_c=0.965\ \text{m/s}^2\)
Force is given by
\(F_c=ma_c\\\Rightarrow F_c=\dfrac{N}{g}a_c\\\Rightarrow F_c=\dfrac{13500}{9.81}\times 0.965\\\Rightarrow F_c=1328\ \text{N}\)
Coefficient of friction is given by
\(\mu=\dfrac{F_c}{N}\\\Rightarrow \mu=\dfrac{1328}{13500}\\\Rightarrow \mu=0.098\approx 0.1\)
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