The output voltage of a 100.W ideal transformer is 12.0 V and the input current is 20.0 A.a) What is the input voltage?b) What is the output current?c) What kind of transformer is it? (step up or step down)
ANSWER:
a) 5 V
b) 8.33 A
c) step-up transformer
STEP-BY-STEP EXPLANATION:
a)
To calculate the input voltage it would be:
\(\begin{gathered} V_{\text{ in}}=\frac{P}{I} \\ V_{\text{ in}}=\frac{100}{20}=5\text{ V} \end{gathered}\)b)
To calculate the output current it would be:
\(\begin{gathered} I_{\text{out}}=\frac{P}{V} \\ I_{\text{out}}=\frac{100}{12}=8.33\text{ A} \end{gathered}\)c)
We have to:
Step-up transformer increase the output voltage.
Step-down transformer reduces the output voltage.
In this case, the voltage goes from being 5 V to being 12 V, therefore the output voltage increases, which means that it would be a step-up transformer.
A wave traveling at 50.0 m/s has a wavelength of 10.0 m. What is the frequency of the wave? Show your work below?
Answer:
The frequency of the wave is 5 Hz
Explanation:
Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
Frequency is the number of vibrations that occur in a unit of time. Its unit is s – 1 or hertz (Hz).
The propagation velocity is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement. Relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation: v = f * λ.
In this case:
v= 50 \(\frac{m}{s}\)f=?λ= 10 mReplacing:
50 \(\frac{m}{s}\) = f* 10 m
Solving:
\(f=\frac{50 \frac{m}{s} }{10 m}\)
f=5 Hz
The frequency of the wave is 5 Hz
A force of 10 N causes a spring to extend by 20 mm. Find a) the spring constant of the spring in N/m b) the extension of the spring when 25 N is applied c) the force applied that causes an extension of 5 mm.
(a) The spring constant is 500 N/m.
(b) The extension of the spring when 25 N force is applied is 0.05 m.
(c) The applied force to cause an extension of 5 mm is 2.5 N.
The given parameters:
Applied force, F = 10 NExtension of the spring, x = 20 mmThe spring constant is calculated as follows;
\(F = kx\\\\k = \frac{F}{x} \\\\k = \frac{10}{20 \times 10^{-3}} \\\\k = 500 \ N/m\)
The extension of the spring when 25 N force is applied is calculated as follows;
\(F = kx\\\\x = \frac{F}{k} \\\\x = \frac{25}{500} \\\\x = 0.05 \ m\)
The applied force to cause an extension of 5 mm is calculated as follows;
\(F = kx\\\\F = 500 \times 5 \times 10^{-3}\\\\F = 2.5 \ N\)
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how does electricity work?
Answer:Electricity works by getting a bunch of conductor elements together and creating a flow of electron-stealing patterns through them. This flow is called a current. ... Once you can control the direction the electrons are going, you can use them to power or charge anything from a light bulb to your TV to your electric car.
Explanation:trust
A roller coaster pushes a 25 kg person upward with a force of 300 N. What is the acceleration?
Answer: a=F/m , a = 300N/25N , a= 12 m/s2
Explanation: Divide the 300 by 25 you get 12 . If your wondering how i got 25N in the eqaution it because you change 25kg to 25N. I hope this helps you
Acceleration of an object is the force divided by mass. The acceleration of the roller coaster to push the 25 kg person with a force of 300 N is 12 m/s².
What is acceleration ?Acceleration is a physical quantity measuring the rate of change in velocity. It is a vector quantity having both magnitude and acceleration. Acceleration has the unit of m/s².
According to Newton's second law of motion, the force acting on a body is the product of its mass and acceleration.
F = ma
Given that, mass of the person = 25 kg
force applied on the body = 300 N
acceleration = force/mass
a = 300 N/25 kg = 12 m/s²
Therefore, the acceleration of the roller coaster is 12 m/s².
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8. What are two ways you can tell a physical change has happened?
Texture: The texture of a substance can differ with a physical change.
Color: The changing of color of a substance is not necessarily an indicator of a chemical change.
Un muelle se alarga 20 cm cuando ejercemos sobre él una fuerza de 24 N. Calcula:El valor de la constante elástica del muelle
Answer:
120 Nm-1
Explanation:
Según la ley de Hooke;
F = Ke
F = fuerza sobre el resorte
K = constante de fuerza
e = extensión
Por eso;
K = F / e
K = 24N / 20 × 10 ^ -2m
K = 120 Nm-1
A group of students are using objects with different masses oscillating on the end of a horizontal ideal spring to determine the spring constant of the spring. The students are varying the mass of the object oscillating on the end of the spring and measuring the period of oscillation. The students then graph the data as the square of the period as a function of the mass in order to use the slope of the graph to determine the spring constant. One student notices that they are not keeping the amplitude of the oscillation constant when they start the oscillation. Several students discuss if this will affect their data or not and how to correct the issue if necessary. Which of the following student statements is correct? A The amplitude affects the period; thus, the period should be cubed, not squared, prior to graphing. B The amplitude affects the period; thus, the amplitude must be kept constant for every trial. The amplitude affects the period; thus, the amplitude should be adjusted depending on the mass of the object. The amplitude does not affect the period, because the oscillation is horizontal, not vertical. E The amplitude does not affect the period, because the spring is an ideal spring. A student designs an experiment to verify dependence of the mass m of an object attached to a spring, on the period T for an oscillating vertical spring-object system. The student attaches a hanger to a spring, places weights on the hanger, pulls the hanger down, releases it from rest, and measures the corresponding period of oscillation for the hanger. However, during data entry, the student neglects to add the mass of the hanger to the values of the attached masses for the spring. The student constructs a graph of the data to determine if the data agrees with the equation T = 27 Vf where k equals the elastic constant of spring. Which of the following graphs best represents the student's recorded data?
The correct statement among the options provided is B.
How amplitude effects the period of oscillating masses?The amplitude affects the period; thus, the amplitude must be kept constant for every trial. The amplitude of an oscillation affects its period, and therefore, it is important to keep it constant to obtain accurate results when measuring the spring constant of a horizontal ideal spring. If the amplitude is not constant, it will affect the period and the results obtained from the experiment.
What is the Impact of hanger's mass?Regarding the second question, neglecting to add the mass of the hanger to the values of the attached masses for the spring will result in inaccurate data. The correct equation for the period of an oscillating vertical spring-object system is T = 2π√(m/k), where m is the total mass (including the hanger) and k is the spring constant. Therefore, the graph that best represents the student's recorded data would be a graph of the square of the period (T^2) versus the total mass (m), and the slope of the graph would be equal to 4π^2/k.
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The distance from one crest to the next is the ________.
Answer:
Wavelength.
Explanation:
1 period, or wavelength, is measured from one crest to another or from one trough to another.
cm. the current in the solenoid is increasing at a uniform rate of 36.0 a>s. what is the magnitude of the induced electric field at a point near the center of the solenoid and (a) 0.500 cm from the axis of the solenoid; (b) 1.00 cm from the axis of the solenoid?
The induced emf near the solenoid's center has a magnitude of 0 V/m.
At a location 0.500 cm from the solenoid's axis, the induced electric field has an intensity of 8 x 105 V/m.
the settings provided;
N = 700 turns/m for the solenoid's number of turns, and r = 2.5 cm for the wire's radius. I = 36 A/s for the solenoid's current.The following formula is used to determine the size of the induced emf close to the solenoid's center:
B = 4π × 10⁻⁷ × 700 × 36
= 0.032 T/s
E = r/2(dB/dt)
E = 0/2*(0.032)
E = 0 V/m
The following formula is used to determine the strength of the induced electric field at a position 0.500 cm from the solenoid's axis:
E = r/2(dB/dr)
E = {(0.5 * 10⁻²)/2}*(0.032)
E = 8 × 10⁻⁵ V/m
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If you have observed something about the world and want to
investigate it further, what are you seeking to do?
a Do background research
b Construct a hypothesis
C Ask a question
d Report the results
Answer: a
Explanation: :)
which of the images below shows the correct resultant vector?
WILL MARK BRAINLIEST
Answer:
3 N right.
Explanation:
The vector in red is 5 units long pointing towards right.
it's length represents its magnitude.
Therfore, the red vector's magnitude is 5 and direction is right.The other one, the one in blue, is pointing towards left, I. e., in a direction opposite to the red one.
It covers 2 units on the graph so we can say ots magnitude is 2 units.
Therefore, the blue Victor's magnitude is 2 and direction is left.Since, the two vectors are in opposite directions, the magnitude of their resultant will be equal to their difference, and it will be directed towards the vector with larger magnitude.
here, red has larger magnitude and it's direction is right, so the direction of resultant will be right.
magnitude :-
\( \red{5} - \blue{2} \\ = 3 \: units\)
So, we got the resultant vector pointing towards right and magnitude 3.Repetitive motion can cause injury.
Please select the best answer from the choices provided.
T
F
I believe it's true.
Chỉ ra kết luận đúng trong các kết luận sau:
A.
Chỉ có các hạt mang điện tích dương chuyển động có hướng mới tạo ra dòng điện.
B.
Chỉ có các hạt mang điện tích âm chuyển động có hướng mới tạo ra dòng điện.
C.
Khi nguyên tử chuyển động có hướng thì xuất hiện dòng điện.
D.
Các dụng cụ điện sẽ hoạt động khi có dòng điện chạy qua.
Identify the conditions for an inelastic collision in a closed system. Check all that apply. a. Energy is conserved. b. Momentum is conserved Kinetic energy is conserved. c. Objects always stick together after an inelastic collision. d. One object may be stationary before an inelastic collision.
b. Momentum is conserved.
c. Objects always stick together after an inelastic collision.
d. One object may be stationary before an inelastic collision.
In an inelastic collision, there are certain conditions that apply to the collision itself and the behavior of the objects involved. Let's examine each option in detail:
a. Energy is conserved: In an inelastic collision, energy is not conserved. Some energy is typically lost in the form of heat, sound, or deformation of the objects involved. This loss of energy is due to the internal forces and interactions within the objects during the collision.
b. Momentum is conserved: Conservation of momentum is a key characteristic of an inelastic collision. In an inelastic collision, the total momentum of the system before the collision is equal to the total momentum after the collision. This means that the sum of the individual momenta of the objects involved remains constant.
c. Kinetic energy is conserved: Kinetic energy is not conserved in an inelastic collision. As mentioned earlier, some of the initial kinetic energy is transformed into other forms of energy, such as heat or deformation. The total kinetic energy after the collision is generally less than the total kinetic energy before the collision.
d. Objects always stick together after an inelastic collision: In an inelastic collision, the objects involved may stick together or deform upon impact. However, it is not a universal rule that objects always stick together after an inelastic collision. The degree of stickiness or deformation depends on the specific properties of the objects and the nature of the collision.
Therefore, the correct conditions for an inelastic collision in a closed system are:
- Momentum is conserved.
- Objects may stick together or deform after the collision.
- One object may be stationary before the collision.
It's important to note that these conditions may vary depending on the specific scenario and the nature of the objects involved in the collision.
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Answer:
Energy is conserved.
Momentum is conserved
One object may be stationary before an inelastic collision.
Explanation:
5 differences between scalar quantities and vector quantities
Scalar quantities have magnitude only, while vector quantities have magnitude and direction. Scalars can be added algebraically, while vectors follow specific rules. Scalars have a single value, while vectors require representation with magnitude and direction.
Scalar quantities and vector quantities are two fundamental types of physical quantities used in physics. Here are five key differences between scalar and vector quantities:
1. Definition: Scalar quantities are defined by magnitude only, meaning they have a numerical value but no specific direction. Examples of scalars include time, temperature, mass, and speed. In contrast, vector quantities have both magnitude and direction. Examples of vectors include displacement, velocity, force, and acceleration.
2. Representation: Scalar quantities are represented by a single numerical value or variable, often accompanied by appropriate units. For instance, temperature can be represented by a value like 25 degrees Celsius. Vector quantities, on the other hand, require a representation that includes both magnitude and direction. This can be achieved using vectors or by using a combination of numerical values and angles.
3. Addition and Subtraction: Scalar quantities can be added or subtracted algebraically by simply considering their numerical values. For example, adding two temperatures of 10 degrees Celsius and 15 degrees Celsius gives a result of 25 degrees Celsius. In contrast, vector quantities follow different rules for addition and subtraction. Vector addition involves considering both the magnitude and direction of the vectors, using methods such as the parallelogram law or the triangle law.
4. Algebraic Operations: Scalar quantities can undergo all basic algebraic operations, such as multiplication, division, addition, and subtraction. These operations apply only to the numerical values of the scalars. Vector quantities, however, have additional operations specific to vectors, including dot product and cross product, which involve both the magnitude and direction of the vectors.
5. Physical Interpretation: Scalar quantities represent quantities that can be fully described by a single value, such as the magnitude of a quantity. For example, the speed of an object is a scalar that represents the magnitude of its velocity. Vector quantities, on the other hand, have physical interpretations that involve both magnitude and direction. For instance, displacement represents both the distance and the direction from the starting point to the endpoint.
In summary, scalar quantities have magnitude only, while vector quantities have both magnitude and direction. Scalars are represented by single numerical values, while vectors require representation with both magnitude and direction. Scalar quantities can be algebraically added or subtracted, whereas vector quantities follow specific rules for vector addition and subtraction. Scalars can undergo all basic algebraic operations, while vectors have additional vector-specific operations. Scalar quantities represent fully describable quantities, while vector quantities require consideration of both magnitude and direction for a complete description.
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Blake stands in a canoe in the middle of a lake. The canoe is stationary. Blake holds an anchor mass of 15 kg, then throws it west with a speed of 8 m/s. Blake and the canoe have a combined mass of 135 kg.
a. the system is defined as Blake, the canoe, and the anchor. What is the total momentum of the system before he throws the anchor?
b. what is the total momentum of the system after he throws the anchor?
c. what is the velocity of the canoe after he throws the anchor?
The velocity of the canoe is 1.7 m/s.
What is momentum?Momentum in physics is the products of mass and velocity. Now we have to find momentum with the formula; p = mv
a) Initial momentum = (15)8 m/s + 135 = 255 Kgms-1
b) Since momentum is conserved, the total momentum after throwing the anchor is still 255 Kgms-1
c) The final velocity of the boat is obtained from;
255 Kgms-1 = (15Kg + 135 Kg) v
v = 255 Kgms-1/(15Kg + 135 Kg)
v = 1.7 m/s
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ide over the
When she returned, the substance had changed phase, and the substance was in the liquid phase. What
Happened to the molecules of this substance?
a
b
d
Before the mechanic left, the molecules were moving away from each other. When she returned, they were
moving around each other.
Before the mechanic left, the molecules were moving around each other. When she returned, they were
moving in place.
Before the mechanic left, the molecules were moving around each other. When she returned, they were
moving away from each other.
Before the mechanic left, the molecules were moving in place. When she returned, they were moving around
each other.
croll for more
The correct answer is D) Before the mechanic left, the molecules were moving in place. When she returned, they were moving around each other. The change in phase from solid to liquid is due to a change in the motion of molecules.
What is molecules?Molecules are formed when two or more atoms come together and form a chemical bond. Molecules exist in all forms of matter and are the building blocks of all living organisms. Molecules can range in size from the very small, such as hydrogen, to the very large, such as proteins. Generally, molecules are composed of two or more atoms of the same element or different elements that are held together by chemical bonds. Molecules can also be composed of multiple subatomic particles, such as protons and neutrons, which form the nucleus of an atom. Molecules may also contain electrons, which are held in orbit around the nucleus by electrostatic forces. Molecules can have different shapes depending on the arrangement of their constituent atoms. Molecules are essential to all forms of life, as they are responsible for many of the physical and chemical processes that take place in living organisms.
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example of induction charging
Answer:
If a rubber balloon is charged negatively (perhaps by rubbing it with animal fur) and brought near the spheres, electrons within the two-sphere system will be induced to move away from the balloon. This is simply the principle that like charges repel.
Explanation:
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Observe each specimen under the microscope, and record a description about its appearance.
Specimen Type Description
Plant cell
Animal cell
Bacteria cell
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Plant cell: Plant cells are typically rectangular or square in shape, with a thick cell wall surrounding the cell membrane. They have a large central vacuole that stores water and nutrients. They also have chloroplasts, which are used for photosynthesis.
Animal cell: Animal cells are typically round or irregular in shape, with a thinner cell membrane surrounding the cell.
Bacteria cell: Bacteria cells are typically small and vary in shape. They can be rod-shaped (bacillus), spherical (coccus), or spiral (spirillum) in shape. They are typically smaller than plant and animal cells and can be found everywhere.
What is the cell about?A cell is the basic unit of life in all organisms. It is the smallest unit of an organism that can carry out all the functions of life. All living things are made up of one or more cells. Cells come in many different shapes and sizes, and they have a variety of functions.
Plant cells also have a cell wall, which provides support and protection for the cell. They also have chloroplasts, which are responsible for photosynthesis, the process of converting light energy into chemical energy. Animal cells do not have a cell wall and do not have chloroplasts.
In all, Each type of cell has unique characteristics that allow it to perform its specific functions.
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Doubling the momentum of a neutron
(a) decreases its energy
(b) doubles its energy
(c) doubles its wavelength
(d) halves its wavelength
(e) none of these.
The answer is option (a)"decreases its energy" as doubling the momentum of a neutron leads to a decrease in its energy.
How does momentum affect a neutron's energy and wavelength?The de Broglie wavelength equation is given by λ = h/p, where λ is the wavelength of a particle, h is the Planck constant, and p is the momentum of the particle. This equation shows that the wavelength of a particle is inversely proportional to its momentum.
Therefore, if the momentum of a neutron is doubled, its wavelength will be halved (option (d) in the question).
However, the energy of a neutron is proportional to the square of its momentum, i.e., E = p\(^2/2m\), where E is the energy of the neutron, and m is its mass.
Therefore, if the momentum of a neutron is doubled, its energy will be quadrupled (not listed in the options).
Thus, option (a) "decreases its energy" is the correct answer.
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when a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied: group of answer choices (b) there is a large increase in the magnetic induction (b) (a) the magnetic induction (b) is decreased both a
When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.
Ferromagnetic materials, such as iron, nickel, and cobalt, have unique properties that make them highly responsive to magnetic fields. When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, several factors contribute to the increase in magnetic induction (B):Alignment of Magnetic Domains: In the absence of an external magnetic field, the magnetic domains within a ferromagnetic material are randomly oriented, resulting in a net magnetic moment of zero. However, when a magnetic field is applied, the domains align themselves in the direction of the field, leading to an increase in the overall magnetic induction.Magnetic Saturation: Ferromagnetic materials have a saturation point, beyond which further increase in the magnetic field does not significantly increase the magnetic induction. This saturation point is typically higher than that of other magnetic materials, allowing ferromagnetic materials to exhibit a larger increase in magnetic induction.Amplification of Magnetic Field: The presence of a ferromagnetic material within an electromagnetic coil enhances the magnetic field generated by the coil. This phenomenon is known as magnetic amplification or magnetic flux concentration. The ferromagnetic material acts as a magnetic conductor, guiding and intensifying the magnetic field lines, resulting in a larger magnetic induction.In contrast, option (a) stating that the magnetic induction (B) is decreased is incorrect. When a ferromagnetic material is subjected to an external magnetic field, the magnetic induction increases due to the alignment of magnetic domains and the amplification of the magnetic field.Therefore, the correct answer is:
(a) There is a large increase in the magnetic induction (B)
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Why does weight change depending
on location?
Answer:
gravity
Explanation:
gravity pulls you down so for example you will weigh more on earth than on the moon because earths gravitational pull is greater.
an old building is being demolished by swinging a heavy metal ball from a crane. suppose that the ball swings from a 20 -m-long wire at speed as the wire passes the vertical orientation. (a) what tension force must the wire be able to withstand in order not to break? (b) assume the ball stops after sinking into the wall of the building. what was the average force that the ball exerted on the wall? indicate any assumptions you made for each part of the problem.
Answer:
Explanation:
Newton's second law allows us to find the results for the questions about the forces in the motion of the ball are:
a) The cable tension is: T = 1955 N
b) The force to stop the ball is: F = 5520 N
Newton's second law gives a relationship between force, mass and acceleration of bodies.
F = ma
The bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.
The ball is oscillating therefore its movement is circular, in the lower part of the trajectory the centripetal acceleration is:
a) A free body diagram is a diagram of the forces without the details of the body, in the attachment we can see a free body diagram of the system.
T - W = ma
T = W + ma
We substitute.
T = m (g + v ^ 2 / r)
Let's calculate.
T = 115 (9.8 + 12 ^ 2/20)
T = 1955 N
b) To find the average force, let's find the average acceleration to stop with kinematics.
v² = v₀² - 2 a x
When the ball moves, its velocity is zero.
Let's calculate.
a = 48 m /s²
We substitute in Newton's second law.
F = m a
F = 115 48
F = 5520 N
In conclusion using Newton's second law we can find the results for the questions about the forces in the motion of the ball are:
a) The cable tension is: T = 1955 N
b) The force to stop the ball is: F = 5520 N
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active attachment
Why are infrared waves ineffective for treating cancer
They do not transmit sufficient energy to kill cancer cells. Longer wavelengths than visible light define infrared waves (IR), a kind of electromagnetic radiation.
What are infrared ray?The electromagnetic radiation known as infrared, also referred to as infrared light, has wavelengths that are longer than those of visible light and shorter than those of radio waves. Wavelength range and sources: between 780 nm and 1 mm. Infrared radiation (IR), commonly referred to as heat radiation, is that region of the electromagnetic spectrum with wavelengths above red visible light, between 780 nm and 1 mm. IR can be divided into three groups: IR-A (780 nm-1.4 m), IR-B (1.4-3 m), and IR-C, commonly known as far-IR (3 m-1 mm).
IR wavelengths range from 700 nanometers (frequency 430 THz), which corresponds to the visible spectrum's notional red edge, to 1 millimeter (300 GHz). Long-term IR exposure, according to medical studies, can harm the lens, cornea, and retina, causing cataracts, corneal ulcers, and retinal burns, respectively. Workers can use gear with IR filters or reflective coating to help prevent long-term IR exposure. Electrical warmers, food-cooking appliances, remote controls, optical fibres, security systems, and thermal imaging cameras that can see individuals in the dark all employ infrared (IR) light. whereas, gamma rays, which have the highest energy (and thus the most penetrating), for instance, have higher frequencies than infrared waves.Gamma rays are the electromagnetic waves with the highest energy, highest frequency (300 EHz), and shortest wavelengths (1 pm) (1,24 MeV) and are used in treating cancer.
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The density (in g/cm3) of a solid metal object that has a volume of 1.24 cm3 and a mass of 21.8 g is ________.
The density of the solid metal object is 17.58 g/cm3.
The density (in g/cm3) of a solid metal object that has a volume of 1.24 cm3 and a mass of 21.8 g is 17.58 g/cm3 (rounded to two decimal places).
Explanation:
We know that density is the mass per unit volume of an object. Hence, to determine the density of a solid metal object, we divide the mass by the volume.
Using the formula: \[\text{Density} = \fraction{\text{Mass}}{\text{Volume}}\]Given that the volume of the object is 1.24 cm3 and the mass is 21.8 g, we substitute the values into the formula: \[\text{Density} = \fraction{21.8 \text{ g}}{1.24 \text{ cm}^3}\]Dividing the numerator by the denominator, we get: \[\text{Density} = 17.58 \fraction{\text{g}}{\text{cm}^3}\]
Therefore, the density of the solid metal object is 17.58 g/cm3.
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PLEASE HELP!! Use the information below to solve this problem: A note has a wavelength of 0.65551 m. If the speed of sound is 343.00 m/s, what pitch is this note?
speed of sound in air: 343 m/s
A. 440.00 Hz
B. 493.88 Hz
C. 523.25 Hz
D. 587.33 Hz
E. 659.26 Hz
F. 698.46 Hz
G. 783.99 Hz
Answer:
C
Explanation:
Given that a note has a wavelength of 0.65551 m. If the speed of sound is 343.00 m/s, the pitch of the note is the same as the frequency.
Sound Velocity = product of frequency and wavelength.
Substitute wave speed and wavelength into the formula
343 = f × 0.65551
Make f the subject of formula
F = 343 / 0.65551
F = 523.58 Henz
Therefore, the pitch of the note is 523.52 Hz approximately
The correct answer is option C
Light falls on a double slit with slit separation of 2.02 × 10^−6 m, and the first bright fringe is seen at an angle of 16.5° relative to the
central maximum. Find the wavelength of the light.
Answer:
approximately 5.76 × 10^−7 meters, or 576 nanometers
Explanation:
The location of bright fringes in a double slit experiment is given by the formula:
d * sin(θ) = m * λ
where:
d is the slit separation,
θ is the angle at which the fringe occurs,
m is the order of the fringe (m = 0 for the central maximum, m = 1 for the first bright fringe, m = 2 for the second bright fringe, and so on), and
λ is the wavelength of the light.
We're looking for the wavelength of the light, and we're given that d = 2.02 × 10^−6 m, θ = 16.5°, and m = 1 (since we're looking at the first bright fringe).
Rearranging the formula to solve for λ gives us:
λ = d * sin(θ) / m
We need to make sure that we're working in radians, as that's what the trigonometric functions in most programming and calculation tools expect. There are π radians in 180 degrees, so to convert from degrees to radians, we multiply by π/180. This gives us θ = 16.5° * π/180 = 0.2873 radians.
Substituting the given values into the formula gives us:
λ = (2.02 × 10^−6 m) * sin(0.2873) / 1
λ ≈ 5.76 * 10^-7 m
So the wavelength of the light is approximately 5.76 × 10^−7 meters, or 576 nanometers (since 1 m = 10^9 nm).
henry, whose mass is 95 kg , stands on a bathroom scale in an elevator. the scale reads 830 n for the first 2.4 s after the elevator starts moving, then 930 n for the next 2.4 s .part apart completewhat is the elevator's speed 4.8 s after starting?express your answer with the appropriate units.v
The elevator's speed 4.8 s after starting is 44.47 m/s.
The elevator's speed 4.8 s after starting can be found using the formula: v = a*t [Where v is the velocity, a is the acceleration, and t is the time]
First, we need to find the acceleration of the elevator. We can do this by using the formula: F = m*a [Where F is the force, m is the mass, and a is the acceleration]
For the first 2.4 s, the scale reads 830 N. This means that the force on Henry is 830 N. We can plug this into the formula and solve for a:
830 N = 95 kg*a
a = 8.74 m/s^2
For the next 2.4 s, the scale reads 930 N. This means that the force on Henry is 930 N. We can plug this into the formula and solve for a:
930 N = 95 kg*a
a = 9.79 m/s^2
Now, we can find the average acceleration by adding the two accelerations and dividing by 2:
a = (8.74 m/s^2 + 9.79 m/s^2)/2
a = 9.265 m/s^2
Finally, we can plug this into the formula for velocity and solve for v:
v = a*t
v = 9.265 m/s^2*4.8 s
v = 44.47 m/s
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