Complete Question
The FM radio band covers the frequency range 88-108 MHz
If the variable capacitor in an FM receiver ranges from 14.9 pF to 22.4 pF , what inductor should be used to make an LC circuit whose resonant frequency spans the FM band
Answer:
The inductor that should be made use of is and inductor with an inductance of \(L = 1.46 *10^{-7} \ H\)
Explanation:
From the question we are told that
The frequency range for the FM band is 88-108 MHz
The range of the capacitance is \(C = 14.9 \ pF \ \ to \ 22.4 pF = 14.9 *10^{-12} \ F \ \ to \ \ 22.4 *10^{-12}\ F\)
The resonant frequency is \(f_r = 108 MHz. = 108 *10^6 \ Hz\) this is in the question we are told that the resonant frequency spans the FM band
Generally the at resonance the reactance of the capacitor is equal to that of the inductor i.e
\(R_c = R_l\)
Here \(R_c\) is the reactance of the capacitor which is mathematically represented as
\(R_c = \frac{1}{2 \pi f C}\)
while the reactance of the inductor is \(R_i = 2 \pi f L\)
So
\(\frac{1}{2 \pi f C} = 2 \pi f L\)
=> \(L = \frac{1}{4 \pi^2 * f ^2 * C }\)
When C is \(C = 14.9 \ pF = 14.9 *10^{-12} \F\)
=> \(L = \frac{1}{4 (3.142 )^2 * (108*10^6) ^2 * 14.9 *10^{-12} }\)
=> \(L = 1.46 *10^{-7} \ H\)
When C is \(C = 22.4 \ pF = 14.9 *10^{-12} \F\)
=> \(L = \frac{1}{4 (3.142 )^2 * (108*10^6) ^2 * 22.4 *10^{-12} }\)
=> \(L = 1.46 *10^{-7} \ H\)
Can the potential of a non uniform charged sphere be the same as that of a point charge? Explain in details
No. The potential of a non-uniform charged sphere cannot be the same as that of a point charge.
Non-uniform charged sphere as a point chargeThe potential at any point in space is determined by the distribution of charge within the system, and a non-uniform charged sphere has a different charge distribution than a point charge.
A point charge has all of its charges concentrated at a single point, while a non-uniform charged sphere has charge distributed throughout its volume.
As a result, the electric field and potential will be different for these two systems, even if they have the same total charge. Therefore, the potential of a non-uniform charged sphere cannot be the same as that of a point charge.
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Which common characteristic of planets do Saturn and Earth share?
They have rings.
They have moons.
They are made of rock.
They have thick atmospheres.
The common characteristics of planets do Saturn and Earth share is they both have moon. Saturn have 13 moons and earth have only one moon.
What is moons of planets?Moons of planets are spatial objects which revolves around a planet and experiences gravitational pull from the planet. Both saturn and earth are planets of solar system.
The earth that is the only planet planet with living things have only one moon which is called moon itself. Earth is entirely different from the composition and nature of all other planets.
Saturn have 13 moons namely, enceladus, janus, mimas etc. Saturn have some rings made of dust and gases which are not found for any other planet. The composition and gaseous matter in saturn is different from that of earth.
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Question 19 of 25
The diagram below shows the velocity vectors for two cars that are moving
relative to each other.
45 m/s west
25 m/s east
- Car 1
Car 2
From the frame of reference of car 1, what is the velocity of car 2?
OA. 70 m/s east
O B. 20 m/s west
O c. 70 m/s west
D. 20 m/s east
The velocity of car 2, from the frame of reference of car 1, is 20 m/s west. (Answer: B)
When considering the frame of reference of car 1, we need to subtract the velocity of car 1 from the velocity of car 2 to determine the relative velocity. Since car 1 is moving at 45 m/s west and car 2 is moving at 25 m/s east, we can subtract these velocities to find the relative velocity of car 2 with respect to car 1.
45 m/s (west) - 25 m/s (east) = 20 m/s (west)
Therefore, car 2 has a velocity of 20 m/s west when observed from the frame of reference of car 1. It is important to note that velocities are vector quantities, which means they have both magnitude and direction. In this case, the direction is west because car 2 is moving in the opposite direction of car 1. (Answer: B)
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Rita raises a 10kg package to a height of 2.5 m in 2.0 s.
(a) How much work did she do on the package?
(b) How much power was expended on the package?
(c) It she were to raise the package in 1.0 s rather than 2.0 s, how do the work and power change?
Answer:
A) W =250J B) Power = 125 J/s C) Work = 250 J Power = 250 J/s
Explanation:
Work = Force*distance
A:
\(W = 10kg*10m/s^2*2.5m\\W = 250 J\\\)
B:
Power is J/s
Power = 250J/2.0s = 125 J/s
C:
Work stays the same
Power increases to 250 J/s
What is the equivalent resistance of the circuit?
Answer:
(B) 80 ohms
Explanation:
Since the circuit is a series connection, simply add the two resistances together to get 80 ohms.
Which type of twins are most crucial to research when studying the relationship between nature and nurture? Why?
Answer:
Another option for observing nature-nurture in humans involves twin studies. There are two types of twins: monozygotic (MZ) and dizygotic (DZ). Monozygotic twins, also called “identical” twins, result from a single zygote (fertilized egg) and have the same DNA. They are essentially clones.
Answer:
Another option for observing nature-nurture in humans involves twin studies. There are two types of twins: monozygotic (MZ) and dizygotic (DZ). Monozygotic twins, also called “identical” twins, result from a single zygote (fertilized egg) and have the same DNA. They are essentially clones.
Explanation:
Describe the story of the constellation Capricornus. WILL MARK BRAINLEST IF NOT STOLEN FROM A WEBSITE OR ANYTHING WITH A PROPER ANSWER ASSAP
Your answer:
In Greek mythology, this constellation is related with the time the Olympian gods sought refuge in Egypt. Unfortunately, following their epic fighting with the Titans, peace did not closing for long, as the monster Typhon, son of the Titan Tartarus and Earth, sought revenge. Typhon was once a fearsome fire-breathing creature, taller than mountains and with palms which possessed dragons' heads in region of fingers. The Olympian gods sought to break out by way of adopting a number disguises: Zeus, a ram - Hera, a white cow, Bacchus (another model of the fable suggests Pan) a goat. As Typhon approached, Bacchus/Pan threw himself into the Nile but, in a panic, solely succeeded in altering part of his body, ending up with a goat's physique and the tail of a fish. Meanwhile, Zeus had been dismembered via Typhon, however was saved when Bacchus/Pan let out an ear-splitting yell, distracting the monster lengthy ample for an agile Hermes to gather the supreme god's limbs and cautiously fix him. In gratitude, Zeus transferred Bacchus/Pan to the heavens.
Answer:
Located in the Southern Hemisphere, Capricornus represents a creature that is a blend of fish and goat; the name means "goat horn" in Latin. While it is one of the Zodiac constellations identified by the Greek astronomer Ptolemy in the 2nd century, Capricornus is often used when referring to the constellation, while Capricorn is used in conjunction with the sign of the Zodiac.Locating Capricornus
Capricornus is among the faintest constellations, just brighter than Cancer. The 40th largest constellation, Capricornus measures 414 square degrees. It sits among the other constellations of the water genre, including the water-bearer Aquarius, the whale-like sea monster Cetus, the fishes Pisces, and the river Eridanus.
Right Ascension: 21.02 hours
Declination: -20 to -23 degrees
Visible: between latitudes 60 degrees and -90 degrees
Best viewed: During the month of September at 9 p.m.
To find the arrowhead-shaped Capricornus in the sky, look for the Summer Triangle and make a line from Vega through Altair to the lower southern sky.
The tropic of Capricorn the place where the sun appears overhead at noon on the winter solstice originally sliced right through its namesake constellation, but the line has since shifted to go through the constellation .
The constellation has its roots in the cultures of Sumeria — which identified it with a mythical figure that was half goat and half fish — and Babylonia, which portrayed it as a goat-human hybrid.
The Greeks associate the constellation with Pan, the god of nature. Part of Pan's lore was that he helped Zeus fight the Titans to earn his spot in the heavens. He escaped the monster Typhon by jumping into the Nile, but only half of his body was submerged, so he was a fish in the part of his body that remained underwater. Other spins on the tale have the constellation associated with Amalthaea, the mythical goat that acted as a foster mother to Zeus as an infant.
which phase change involves an in crease in the attractive force between molecules
Answer:
condensation
Explanation:
Condensation is the phase change involves an in crease in the attractive force between molecules.
2. For electric circuit shown in Figure find currents in each resistor.
The current flowing in the 2Ω and 1Ω is 1.14 A and the current flowing in the 3Ω and 4Ω is 0.286 A.
What is the current flowing in each resistor?The value of the current in each resistor is calculated by applying Kirchoff voltage law as follows;
The total voltage in loop 1 is calculated as;
2 + 4 - I₁R₁ - (I₁ - I₂)R₂ - I₁R₃ = 0
6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0
The current flowing in loop 2 is calculated as;
I = V/R
I₂ = ( 6 V - 4 V ) / (3 + 4)
I₂ = 0.286 A
The value of the current flowing in loop 1 is calculated as;
6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0
6 - 2I₁ - 3(I₁ - 0.286) - 1₁ = 0
6 - 3I₁ - 3₁ + 0.858 = 0
-6I₁ = -6.858
I₁ = 6.858 / 6
I₁ = 1.14 A
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The longest bar in a set of orchestra bells is 30.0 cm, and its fundamental frequency is 198 Hz.
Find the lengths of other bars in the set if they have frequencies of (a) 220 Hz, (b) 264 Hz, (c)
330 Hz, (d) 396 Hz, and (e) 440 Hz. Assume all bars have the same thickness and cross section.
The lengths of the other bars on the set of they have frequencies of 220 Hz, 264 Hz, 330 Hz, 396 Hz, and 440 Hz would be 27.0 cm, 22.7 cm, 18.2 cm, 15.0 cm, and 13.6 cm. respectively.
Length of barsThe fundamental frequency of a vibrating bar is inversely proportional to its length, so we can use the following formula to calculate the length of each bar in the set:
L = L₀ × f₀ / f
where L₀ is the length of the longest bar (30.0 cm), f₀ is its fundamental frequency (198 Hz), f is the frequency of the bar we want to find, and L is the length of that bar.
(a) For a frequency of 220 Hz:
L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 220 Hz ≈ 27.0 cm
So the length of the bar that produces a frequency of 220 Hz is approximately 27.0 cm.
(b) For a frequency of 264 Hz:
L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 264 Hz ≈ 22.7 cm
So the length of the bar that produces a frequency of 264 Hz is approximately 22.7 cm.
(c) For a frequency of 330 Hz:
L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 330 Hz ≈ 18.2 cm
(d) For a frequency of 396 Hz:
L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 396 Hz ≈ 15.0 cm
(e) For a frequency of 440 Hz:
L = L₀ × f₀ / f = 30.0 cm × 198 Hz / 440 Hz ≈ 13.6 cm
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Does anybody know how to solve this? Thanks!!
The position x of a bowling ball rolling on a smooth floor as a function of time t is given by: x(t)=v0t+x0 , where v0=2.5m/s and x0=−5.0m . The polynomial relationship between position and time for the bowling ball is _______________.
exponential
inverse
linear
cubic
quadratic
The polynomial relationship between position and time for the bowling ball is linear.
What is a linear relationship between two variables?A linear relationship between two variables is a term used to describe a straight-line relationship between the two variables.
Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
From the equation of linear relationship between two variable, the highest power of x is one.
The given equation for position and time;
x(t) = vot + xo
From this given equation, the highest power of t is one, hence it is called linear relationship.
Thus, the polynomial relationship between position and time for the bowling ball is linear.
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aluminium,metal,glass,and paper:
Aluminum metal is a good example of conductor of electricity while glass and paper are good example of insulators.
What is a conductor?
A conductor is material that allows easy passage of electric current through the.
Examples of conductorsAll metals are good examples conductors. such as aluminum, iron, silver, etc.
What is a non conductor?A non conductor or insulator is a material which does not allow easy passage of electric current through them.
Examples of insulatorsglasspaperwood, etcThus, aluminum metal is a good example of conductor of electricity while glass and paper are good example of insulators.
The complete question is below:
aluminium,metal,glass,and paper, are examples of what?
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WHAT IS THE MEAING OF- Grouping Data
Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.
It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.
This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.
For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.
Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.
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3. Two people push on a car with a force of 5150 N, and the car moves a distance of 8.0m. What is the
work done on the car?
A. 643.7J
B. 1.65 x 105 J
C. 5163 J
D. 4.12 x 104 J
bolo mot
A load of 50 N attached to a spring that is hanging vertically stretches the spring 0.20 m. What is the spring constant?
answer:52
Explanation: add 50+0.20=52
a ball is thrown downward from the top of roof with a speed of 25 m/s. after 2 s, its velocity will be:
Answer:
12.5
Explanation:
first, v=d/t
v=25/2
v=12.5
The final velocity of the ball is 44.6 m/s.
The given parameters;
initial velocity of the ball, u = 25 m/stime of motion of the ball, t = 2 sThe velocity of the ball increases as the ball moves downward and it will become maximum before the ball hits the ground.
This velocity is known as the final velocity of the ball.
The final velocity of the ball is calculated as follows;
v = u + gt
where;
v is the final velocity of the ballg is the acceleration due t gravity = 9.8 m/s²v = 25 + 9.8(2)
v = 44.6 m/s
Thus, the final velocity of the ball is 44.6 m/s.
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calculate the percentage contraction of a rod moving with a velocity of 0.8c in a direction inclined at 60° to its own length
Answer:
Let lo be the length of the rod in the frame in which it is at rest and s' is the frame which is moving with a speed 0.8c in a direction making an angle 60° with x-axis. The components of lo along and perpendicular to the direction of motion are lo cos 60° and lo sin 60° respectively.
Now length of the rod along the direction of motion
= lo cos 60°_/1-(0.8) 2/c2
= lo/2×0.6
= 0.3 lo.
Length of the rod perpendicular to the direction of motion.
= lo sin 60°
=_/3/2 lo
Length of moving rod
l = [(0.3lo)2+{lo_/3/2} 2] 1/2
= 0.916 lo.
Percentage contraction
= lo-0.916lo/lo×100
= 8.4%.
Explanation:
Brainliest?Which action will leave the dump trucks inertia unchanged?? PLEASE ANSWER FAST!!!
A. add gas
B. increase force applied to engine
Answer:
B.
Explanation:
A parallel circuit has four branch currents: 120 mA, 380 mA, 250 mA, and 2.1 A. How much current is supplied by the source?
A parallel circuit is an electrical circuit with more than one current path and all circuit components are connected between the same two sets of electrically common points. The current supplied by the source in a parallel circuit is equal to the sum of all branch currents in the circuit.
The sum of the branch currents in a parallel circuit can be calculated by adding up the values of the individual branch currents. In this case, we have four branch currents: 120 mA, 380 mA, 250 mA, and 2.1 A. Thus, the sum of the branch currents is:120 mA + 380 mA + 250 mA + 2.1 A= 2.85 ATherefore, the current supplied by the source in this parallel circuit is 2.85 A. This is because, in a parallel circuit, the current from the source is split between the different branches of the circuit. Each branch will have a different current, but the sum of all the branch currents will always equal the current supplied by the sourceFor such more question on parallel circuit
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Density is calculated by dividing
Answer:
Density is the mass of an object divided by its volume. Density often has units of grams per cubic centimeter (g/cm3). Remember, grams is a mass and cubic centimeters is a volume (the same volume as 1 milliliter).
Explanation:
Hey, there!
Density is defined as mass per unit volume. so, when we keep is as a formula we get like,
\(density = \frac{mass}{volume} \)
So, you can state that density is calculated by dividing mass by its unit volume.
Hope it helps...
Heather and Jerry are standing on a bridge 46 m
above a river. Heather throws a rock straight down with a speed of 14 m/s
. Jerry, at exactly the same instant of time, throws a rock straight up with the same speed. Ignore air resistance. How much time elapses between the first splash and the second splash?
The time elapsed between the first splash and the second splash is approximately 0.69 seconds.
To calculate this, we consider the motion of two rocks thrown simultaneously from a bridge. Heather throws a rock straight down with a speed of 14 m/s, while Jerry throws a rock straight up with the same speed.
We use the equation for displacement in uniformly accelerated motion: s = ut + (1/2)at^2.
For Heather's rock, which is thrown downwards, the initial velocity (u) is positive and the acceleration (a) due to gravity is negative (-9.8 m/s^2). The displacement (s) is the height of the bridge (46 m).
Solving the equation, we find two possible values for the time (t): t ≈ -4.91 s and t ≈ 1.91 s.
Since time cannot be negative in this context, we discard the negative value and consider t ≈ 1.91 s as the time it takes for Heather's rock to hit the water.
For Jerry's rock, thrown upwards, we use the same equation with the same initial velocity and acceleration. The displacement is also the height of the bridge, but negative.
Solving the equation, we find t ≈ -5.68 s and t ≈ 1.22 s. Again, we discard the negative value and consider t ≈ 1.22 s as the time it takes for Jerry's rock to reach its maximum height before falling back down.
To find the time difference between the first and second splash, we subtract t ≈ 1.91 s (Heather's rock) from t ≈ 1.22 s (Jerry's rock). This gives us a time difference of approximately 0.69 seconds.
Therefore, the time elapsed between the first splash and the second splash is approximately 0.69 seconds.
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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Which type of circuit has
more than one path for
electrons to flow?
A. Parallel
B. Series
C. Neither
Answer:
A. Parallel connection
Answer:
Parallel circuit to be exact
A book on a 2-meter high shelf has a mass of 0.4 kg. What is its potential energy?
Answer:
\(\boxed {\boxed {\sf 7.84 \ Joules}}\)
Explanation:
The formula for potential energy is:
\(PE=m*g*h\)
where m is the mass, g is the gravitational acceleration, and h is the height.
The mass of the book is 0.4 kilograms. The gravitational acceleration on Earth is 9.8 m/s². The height of the book is 2 meters.
\(m=0.4 \ kg \\g=9.8 \ m/s^2 \\h=2\ m\)
Substitute the values into the formula.
\(PE=(0.4 \ kg)(9.8 \ m/s^2)(2 \ m)\)
Multiply the first two numbers.
0.4 kg*9.8 m/s²= 3.92 kg*m/s²If we convert the units now, the problem will be much easier later on. 1 kg*m/s² is equal to 1 Newton. So, our answer of 3.92 kg*m/s² is equal to 3.92 N\(PE=(3.92 \ N )(2 \ m)\)
Multiply.
3.92 N* 2 m=7.84 N*m1 Newton meter is equal to 1 Joule (this is why we converted the units). Our answer is equal to 7.84 Joules.\(PE=7.84 \ J\)
Answer:
7.84 is your answer ok bye
Can someone answer all of the questions?
Answer: -200
Explanation: is it math
A CD is a solid disk of mass of 0.0140
kg and a radius 0.0600 m. It rotates at
31.4 rad/s. What is its ROTATIONAL
KE?
Rotational KE is the energy of a rotating object. For a CD with a mass of 0.0140kg, a radius of 0.0600m, and an angular velocity of 31.4 rad/s, the rotational KE is 0.0186 J.
Rotational KE is the energy that a rotating object possesses. It is a type of kinetic energy possessed by objects that rotate about an axis or an object's center of mass. The formula to calculate rotational KE is Rotational KE = 1/2 I ω², Where I represent the moment of inertia, and ω is the angular velocity of the object. A CD is a solid disk of mass of 0.0140kg and a radius of 0.0600 m. It rotates at 31.4 rad/s. Therefore, its moment of inertia (I) can be calculated using the formula: I = 1/2mr²I = 1/2(0.0140kg)(0.0600m)²I = 3.78×10⁻⁵ kg⋅m²Plugging the moment of inertia and the angular velocity into the formula for rotational KE, we get: Rotational KE = 1/2 I ω² Rotational KE = 1/2 (3.78×10⁻⁵ kg⋅m²)(31.4 rad/s)²Rotational KE = 0.0186 JTherefore, the rotational KE of the CD is 0.0186 J.Summary: Rotational KE is a type of kinetic energy possessed by rotating objects. The formula to calculate rotational KE is 1/2 I ω². A CD with a mass of 0.0140kg and a radius of 0.0600 m rotates at 31.4 rad/s. Its rotational KE is 0.0186 J, which is calculated using the formula Rotational KE = 1/2 I ω², where I is the moment of inertia and ω is the angular velocity of the object.For more questions on the angular velocity
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Calculate how much work the force of gravity does on the sphere from B to C .
(a) The work done by the force of gravity from A to B is 4.41 Joules.
(b) The work done by the force of gravity from B to C is zero.
(c) The work done by the force of gravity from A to C is 4.41 Joules.
a) To calculate the work done by the force of gravity from A to B, we need to consider the change in potential energy. The potential energy at point A is maximum due to the maximum angle of 35.0∘ to the left of vertical, while at point B, the string is vertical, and the potential energy is zero.
The change in potential energy (ΔPE) is given by:
ΔPE = m * g * h
where m is the mass of the sphere (0.500 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the change in height.
Since the potential energy at point A is maximum, the change in height is equal to the length of the string (0.900 m).
ΔPE = 0.500 kg * 9.8 m/s^2 * 0.900 m = 4.41 J
Therefore, the work done by the force of gravity from A to B is 4.41 Joules.
b) From B to C, the change in height is zero since the string is already vertical. Hence, the work done by the force of gravity from B to C is zero.
c) The total work done by the force of gravity from A to C is the sum of the work done from A to B and from B to C.
Total work = Work from A to B + Work from B to C = 4.41 J + 0 J = 4.41 J
Therefore, the work done by the force of gravity from A to C is 4.41 Joules.
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I think it is the question:
A Pendulum Is Made Up Of A Small Sphere Of Mass 0.500 Kg Attached To A String Of Length 0.900 M. The Sphere Is Swinging Back And Forth Between Point A, Where The String Is At The Maximum Angle Of 35.0∘ To The Left Of Vertical, And Point C, Where The String Is At The Maximum Angle Of 35.0∘ To The Right Of Vertical. The String Is Vertical When The Sphere Is At
A pendulum is made up of a small sphere of mass 0.500 kg attached to a string of length 0.900 m. The sphere is swinging back and forth between point A, where the string is at the maximum angle of 35.0∘ to the left of vertical, and point C, where the string is at the maximum angle of 35.0∘ to the right of vertical. The string is vertical when the sphere is at point B.
a) Calculate how much work the force of gravity does on the sphere from A to B.
b) Calculate how much work the force of gravity does on the sphere from B to C.
c) Calculate how much work the force of gravity does on the sphere from A to C.
A box is released from rest and allowed to slide down a ramp with friction. Which statement most accurately describes the energy transformations during this motion?
a) The box’s initial kinetic energy is transformed into potential energy.
b) The box’s initial potential energy and thermal energy is transformed into
kinetic energy.
c) The box’s initial kinetic energy is transformed into potential energy and
thermal energy.
d) The box’s initial potential energy is transformed into kinetic energy and
thermal energy.
Answer:
d) The box’s initial potential energy is transformed into kinetic energy and
thermal energy.
Explanation:
Let us analyze the situation first. Initially we have a box at rest placed at some height on a ramp. So, the three energies associated with the box will be:
Kinetic Energy = 0 (due to zero velocity)
Thermal Energy = 0 (due to not temperature change)
Potential Energy = Greater than zero value (due to height)
Now, when the box is released to slide down the ramp with friction, the energies become:
Kinetic Energy = Increasing (due to increase in velocity)
Thermal Energy = Increasing (due to increase in temperature, because of friction)
Potential Energy = Decreasing (due to decrease in height)
So, from Law of Conservation of Energy, we can write:
Loss of Potential Energy = Gain in Kinetic Energy + Gain in Thermal Energy
So, the correct option is:
d) The box’s initial potential energy is transformed into kinetic energy and thermal energy.
........................................................................answer?
A charged particle ( 7.58 x 10⁻⁶ kg and -6.9 x 10⁻⁹ C ) accelerates in a uniform electric field: (see 2nd image)
Assuming that the only force acting on the particle is due to the electric field, calculate the acceleration of the particle in m/s², taking the direction of the field as the positive direction (see 3rd image). Remember that F=ma.
Round to the nearest hundreth.
Will give brainliest if correct. Please show method/explaination down below.
Answer:
-9.20 m/s²
Explanation:
We can calculate the acceleration of the particle using the equation F = ma. We know that the force acting on the particle is given by the equation F = qE, where q is the charge of the particle and E is the electric field. So we can write:
ma = qE
We know the mass of the particle, the charge of the particle, and the electric field. We can substitute these values into the equation to find the acceleration:
a = qE/m = (-6.9 x 10⁻⁹ C)(3.5 x 10⁵ N/C) / (7.58 x 10⁻⁶ kg) = -9.20 m/s²
So the acceleration of the particle is -9.20 m/s². It is acting in the opposite direction of the electric field.
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