It would be half of (1/2) acceleration due to gravity on an object near the surface of that planet compare to our g.
Gravity on the planet (g') = [tex]\frac{GM}{R'^{2} }[/tex] = G(ρx [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]R^{3}[/tex])/[tex]R'^{2}[/tex]
Where R' is the radius of the planet.
g' = [tex]\frac{4}{3}[/tex][tex]\frac{\pi GPR'}{1}[/tex]
gravity on the Earth (g) = G[tex]M_{E}[/tex]/RE
= G([tex]\frac{P 4/3\pi R_{E} ^{3} }{R_{E^{2} } }[/tex])
g = 4/3 [tex]\pi[/tex]GP[tex]R_{E}[/tex]
Now, g'/g = R'/[tex]R_{E}[/tex] = [tex]R_{E} 2[/tex]/[tex]R_{E}[/tex] = 1/2
g' = 1/2
it would be half of g.
What is acceleration?Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or the first derivative of velocity with respect to time. The SI unit of acceleration is as [tex]m/s^2[/tex].
An object is said to accelerate when its velocity changes. A change in the speed of an object can be an increase or decrease in speed or a change in direction of motion. Some examples of acceleration are a falling apple, the moon orbiting the Earth, or a car stopping at a traffic light.
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suppose your car's speedometer is geared to accurately give your speed using a certain tire size: 14.5-inch diameter wheels (the metal part) and 4.75-inch tires (the rubber part). if your car's instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 50 mph?
If the car's speed is 50 mph the tires will rotate 11.68 times per second.
To calculate the rotation of the tire if
Diameter wheels (the metal part) = d₁ = 14.5 inchesDiameter wheels (the rubber part) = d₂ = 4.75inchesSpeed = v = 50 mphFirst, we have to calculate the radius of the wheel.
[tex]R =\frac{d_2 + d_1 + d_2}{2}[/tex]
[tex]R = \frac{4.75 + 14.5 + 4.75}{2}[/tex]
[tex]R = \frac{24}{2}[/tex]
R = 12 inches
Convert the linear velocity.
v = 50 mph
[tex]v = 50 \times \frac{1 \: miles}{1 \: hour}[/tex]
[tex]v = 50 \times \frac{63,360 \: inches}{3,600 \: s}[/tex]
v = 880 inches/s
Formula between angular velocity and linear velocity v = ω R
v = linear velocity = 50 mphR = radius ω = angular velocityCalculate the angular velocity.
[tex]\omega = \frac{v}{R}[/tex]
[tex]\omega = \frac{880}{12}[/tex]
ω = 73.33 radians/s
Angular velocity has a conection with the frequency (how many rotations in second)
ω = 2πf
[tex]f = \frac{\omega}{2 \pi}[/tex]
[tex]f = \frac{73.33}{2 \times 3.14}[/tex]
[tex]f = \frac{73.33}{6.28}[/tex]
f = 11.68 rotations/second
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What happens to the energy in a system of magnets when the magnetic force causes two magnets to move?.
When the two magnets are made to move, the energy of the system in the system tends to change potential energy into the kinetic energy
Potential energy is the energy stored in the body while is at rest which would turn into kinetic energy when the object will initiate motion. This conversion of potential energy to kinetic energy is understood by the Work-Energy theorem. The kinetic energy is formulated as,
K.E. = 1/2 mv²
where K.E = Kinetic energy
m = mass of an object
v = velocity of the object
The work-energy theorem is stated as the products of all the forces acting on the system are equal to the difference in kinetic energies.
∑W = ΔK.E
where W = Work done on the system
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what are the four types of solar energy utilization? group of answer choices active solar solar thermal energy conversion photovoltaic cells wind energy tidal power passive solar
Solar energy is defined as the conversion of energy that is present in the sun and is one of the renewable energies.
Solar energy can be divided into two categories depending on how it is converted and the type of energy it is converted into.
Passive solar energy and active solar energy belong to the mode of conversion Solar thermal energy, photovoltaic solar energy and concentrating solar energy.Passive solar energy refers to capturing solar energy without the use of mechanical devices.Active solar energy uses mechanical devices to collect, store and distribute energy.Solar thermal energy is the energy which is obtained by converting solar energy into heat.Photovoltaic solar energy is energy obtained by converting solar energy into electricity.Concentrated Solar Energy is the type of thermal energy used to produce solar energy.To know more about Solar energy,
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Physical science please help me I really need help I’m begging
explain how the sum of heat and work can be a state function, even though heat and work are themselves not state functions.
The system's internal energy change (E) must equal the sum of the heat transferred (q) and the work performed (w), as stated in the first law of thermodynamics: E = q + w..
Work and heat do not have a state function.
The first law of thermodynamics states that the change in a system's internal energy is equal to the total of heat and work.
ΔU = w+q
ΔU = modification of internal energy
q= heat
W= work
ΔU=qv
Accordingly, qv is a state function in this scenario since qv stands for q measured at constant volume.
additional circumstance steady pressure
W = pΔV
Work on the environment (expanding) or the surrounds is working on the system (compressing), which results in a new state function called ΔH and a change in enthalpy.
Heat is a change in energy rather than a quantity of energy that is contained because heat q is the amount of thermal energy that enters or exits the system throughout a process.
Work is another phrase for an energy transformation. the environment's good influence on the system or the environment's detrimental influence on the system ( negative)
The path functions q and w
However, q+w combined is a state function.
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A quantity of 100g of ice at 0c and 50g steam at 100 c are added to a container that has 150 g water at 30c. Determine the final temperature in the container. Ignore the container itself in your calculations.
Answer:90g for 70km
Explanation:
Destructive interference in a standing wave produces points with zero amplitude called?.
Destructive interference causes nodes—points with no amplitude—to form in a standing wave.
What do you call a point of destructive interference on a standing wave?
The nodes are areas of no displacement brought on by the two waves' destructive interaction. The two waves' constructive interference causes the antinodes to move maximally from their resting position.
Is there zero destructive interference amplitude?
The amplitude is 0 and resembles a node at a point of destructive interference. So, if we consider the aforementioned point to be nodes and antinodes, we can observe that the pattern of nodes and antinodes exactly matches that of a standing wave.
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in a simple electric circuit, ohm's law states that , where v is the voltage in volts, i is the current in amperes, and r is the resistance in ohms. assume that, as the battery wears out, the voltage decreases at 0.01 volts per second and, as the resistor heats up, the resistance is increasing at 0.04 ohms per second. when the resistance is 400 ohms and the current is 0.04 amperes, at what rate is the current changing?
The rate is the current changing is = - 1.3 x 10⁻⁴ A/s
Solution:
We take the derivative of Ohm's law with respect to time
V = IR
Using the product rule:
dV/dt = I(dR/dt) + R(dI/dt)
We are given that voltage is decreasing at 0.01 V/s
resistance is increasing at 0.04 ohm/s
resistance itself is 400 ohms,
and current is 0.04 A
Substituting:
-0.01 V/s = (0.04 A)(0.04 ohm/s) + (400 ohms)(dI/dt)
dI/dt = -1.3 x 10⁻⁴ A/s.
The relationship between current, voltage, and resistance. The amount of continuous current flowing through many materials is directly proportional to the potential difference or voltage between them.
Law of Electricity The strength of a direct current is directly proportional to the potential difference and inversely proportional to the resistance of the circuit. Ohm's Law is a formula for calculating the relationship between voltage, current, and resistance in a circuit. Ohm's law describes the relationship between current, voltage, and resistance. This shows that at a constant temperature, the current through the circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit.
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Using what you have learned about series and parallel circuits, explain how some appliances in your kitchen receive power while others do not. (PLEASE HELPP)
To learn series and parallel circuits, to know the some appliances in your kitchen receive power while others do not.
What is series circuits?
A series circuit is an easy way for electrons to travel to one or more resistors. Anything that depends on a cell for power is a resistor. A bulb frequently serves as the resistor in a series circuit.
What is parallel circuit?
Branching is used in a parallel circuit so that the current is divided and only a portion of it passes through each branch. In a parallel circuit, the voltage, or potential difference, across each branch is the same, but the currents may differ.
While plugged in, a range of various electronic equipment and appliances, such as televisions, toasters, lamps, and more, can use electricity even when they're off.
Therefore, known the series and parallel circuits, the some appliances receive powers.
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using your spectroscope, you observe a light source and see several strong, distinct lines. is this source continuous or discrete? given a line with a wavelength corresponding to 500 nm, calculate the energy of the emitted light.
With the aid of your spectroscope and E = (h*c)/wavelength, you can determine the energy of the emitted light to be 3.97 x 10-19.
What does a mean in terms of wavelength?mathematical representation The movement v (in the x direction), frequency f, and wavelength of traveling sinusoidal waves are frequently expressed mathematically as follows: where y is the value of the wave at any place x and time t, and A is the wave's amplitude.
What is the wavelength measurement unit?The symbol for the wavelength in the SI is typically m, or one metre. The multiples or fractions of something like a meter are also employed for measuring wavelength. Notably, when wavelengths are a significant attribute, exponential powers of 10 are employed. Shorter wavelengths are given as negative exponentials.
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why must the displacement vector of the lighter ball be scaled by the ratio of masses of the two balls?
If no external force on the Centre of mass remains stationary. In order to do that displacement in lighter body must be more than that of heavier ball.
The sum of the starting momentums of the two bodies when they collide is equal to the sum of their final momentums, according to the law of conservation of momentum.
The experimental system supports the law of conservation of linear momentum when a collision occurs between a heavier ball and a lighter ball in the absence of any other external forces.
The centre of mass does not move due to any external forces. A lighter body must have a greater displacement than a heavier ball in order for that to happen. Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting location to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B. Displacement is the name for this shift in an object's position.
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a longitudinal wave is observed. Exactly 6 crests are observed to move past a given point in 9.1 s. Its wavelength is 2.4 m and its frequency is 0.66 HZ. What is the speed of the wave.
The speed of the longitudinal wave is given or computed as 1.584 or approximately 1.6m/s.
What is a wave?A wave is a propagating dynamic disturbance of one or more variables in physics, mathematics, and related sciences. Periodic waves occur when values oscillate repeatedly about an equilibrium value at a certain frequency.
Longitudinal waves are those in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is parallel to the wave's propagation direction.
A longitudinal wave is an example of one. P-waves of ultrasonography from earthquakes
Compression, rarefaction, wavelength, amplitude, period, and frequency are all important characteristics of a longitudinal wave.
To estimate the above answer multiply wavelength and frequency to get the speed of a wave.
That is:
2.4 x 0.66
= 1.584
If the frequency is not given, one can divide 6 crests by 9.1 seconds to determine the frequency.
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which region of jupiter generates its magnetic field? view available hint(s)for part a which region of jupiter generates its magnetic field? metallic hydrogen layer molecular hydrogen layer gaseous atmosphere rocky core
The outer core of Jupiter, which is made up of liquid metallic hydrogen, is where electrical currents originate that create the planet's internal magnetic field.
Explain about the outer core?
The third layer of the Earth is its outer core. Iron and nickel, together with trace amounts of other materials, make up the majority of this layer, which is the only one that is liquid. The Earth's magnetic field is created by the outer core. The iron inside the liquid outer core of Earth flows about as it rotates on its axis.
Above the solid inner core of the Earth and below its mantle is a liquid layer made of iron and nickel that is about 2,261 km thick. Its outer boundary is located 2,890 km (1,800 mi) below the surface of the Earth.
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Where do you predict the energy that is not transferred into the electrical grid is lost as it moves from
system to system?
The energy that is not transferred into the electrical grid is lost as heat as it moves from system to system.
The electricity that is produced in power stations reach the consumers through a complex system of electric cables and grid. The grid usually means transformers which is used to step up and step down the voltage when necessary.
The first transformer from the power plant steps up the voltage of the current for the purpose of long distance transmissions. Before entering the household another transformer steps down the voltage to avoid short circuiting the electrical appliances. During all these processes the current is carried through electrical lines. Due to its contact with the atmosphere some energy is lost has heat in the air.
Therefore, the energy that is not transferred into the electrical grid is lost as heat as it moves from system to system.
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Question 16 Which of the following is NOT a way to speed up a chemical reaction? (Select all that apply) b C decreasing the surface area of one of the reactants increasing the concentration of one of the reactants decreasing the temperature of one of the reactants increasing the temperature of one of the reactants
The following which is not a way to speed up a chemical reaction include the following below:
Decreasing the surface area of one of the reactantsDecreasing the temperature of one of the reactants.What is Temperature?This is defied as the degree of hotness or coldness of a substance and it is determined by thermal energy.
In a chemical reaction, the speed can be increased by increasing the surface area and the temperature because it leads to the collision of more atoms in other to form the product which was why options A and C were chosen as the correct choices.
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a 58 kg sprinter, starting from rest, runs a 60 m long race in 7.8 s with a constant acceleration. how much work does the sprinter do during the first 2.5 s of the race?
Work done by the sprinter in first 2.5 s will be 702.699 J.
Work done is the product of force and distance covered.
Mathematically, W = Force * DistanceMass of the sprinter = 58 kg
Distance covered by the sprinter = s = 60 m
Total time taken by the sprinter = t = 7.8 s
According to the Equations of motion S = ut + [tex]\frac{1}{2}at^{2}[/tex]u = initial velocity = 0
a = constant acceleration
60 = [tex]\frac{1}{2}a7.8^{2}[/tex]
60.84 a = 60 * 2
a = 1.97 [tex]m/s^{2}[/tex]
For a = 1.97 [tex]m/s^{2}[/tex] and t = 2.5 s
d = [tex]\frac{1}{2}at^{2}[/tex]
Here also u is '0' because the distance is being measured from the starting point.
d = [tex]\frac{1}{2} *1.97*(2.5)^{2}[/tex]
d = 6.15 m
Work done by the sprinter = F * d
Force = mass * acceleration
F = 58 * 1.97
F = 114.26 N
distance for first 2.5 sec is 6.15 m
Therefore Work done = 6.15 * 114.26
W = 702.699 J
Work done by the sprinter is 702.699 J.
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a flat sheet of metal and a flat sheet of styrofoam of about the same size have been sitting out in a room for a long time. why does the metal feel colder than the styrofoam?
A flat sheet of metal and a flat sheet of styrofoam of about the same size have been sitting out in a room for a long time. the metal feels colder than the styrofoam because metal is a good conductor of heat than styrofoam.
Styrofoam is an insulator, an exceptionally poor conductor of warmth. When your hand touches the Styrofoam, warmth flows from your hand to the Styrofoam and warms the Styrofoam surface. Because this warm isn't conducted away rapidly, the surface of the Styrofoam before long gets to be as warm as your hand, so small or no additional warm takes off your hand. . The Styrofoam feels warm. whereas metal is a good conductor of heat, it carries warm away rapidly. Warm flows from your hand into the metal and after that is conducted quickly away into the bulk of the metal, taking off the metal surface and your skin surface generally cool. That’s why metal feels cool.
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Which of the following is not a density-dependent factor limiting a population growth?
a) intra-specific competition
b) switching behavior of a predator
c) a stress syndrome that alters hormone levels
d) a limited number of available nesting site
Answer:A.
i know its a, i did quiz
a 15 kg block slides on a horizontal, frictionless surface until it encounters a spring with a spring constant of 3600 n/m. the block comes to rest after compressing the spring a distance of 0.052 m. what is the initial speed of the block?
The initial speed of the block is 0.648 m/s
Define distance?
Distance is a quantitative or qualitative measurement of the distance between two objects or places. Distance can refer to a physical length or an estimation based on other factors in physics or common use (e.g. "two counties over"). Because spatial cognition is a rich source of conceptual metaphors in human thought, the term is also used metaphorically to mean an estimation of the amount of difference between two similar objects (such as statistical distance between probability distributions or edit distance among strings of text) or a degree of separation (as exemplified by distance between people in a social network). The concept of a metric space is used to codify most such conceptions of distance, both physical and metaphorical.
Given;
mass of block, m = 15 kg
force constant k = 3600 N/m
compression , x = 0.052 m
kinetic energy = elastic potential
¹/₂mv² = ¹/₂kx²
mv² = kx²
v=√Kx^2/m
where;
v=initial speed of the block
x=compression of the spring
v=√3600 x (0.052)^2/15
v=0.648m/s
the initial speed of the block was 0.648 m/s
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A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. if the trough is being filled with water at the rate of 0.2 m3/min, how fast is the water level rising when the water is 30 cm deep?
Answer:
Approximately [tex]0.033\; {\rm m\cdot min^{-1}}[/tex] (meters per minute.)
Explanation:
Let [tex]A[/tex] and [tex]B[/tex] denote the bottom and top width of the trough, respectively. It is given that [tex]A = 30\; {\rm cm} = 0.30\; {\rm m}[/tex] and [tex]B = 80\; {\rm cm} = 0.80\; {\rm m}[/tex]. Let [tex]H[/tex] denote the height of this trough; [tex]H = 50\; {\rm cm} = 0.50\; {\rm m}[/tex].
Let [tex]h[/tex] denote the current depth of the water in this trough.
Let [tex]b[/tex] denote the current width of the surface of the water. As water fills the trough, this width increases from [tex]A = 0.30\; {\rm m}[/tex] (width of bottom of trough) to [tex]B = 0.80\; {\rm m}[/tex] (width of top of trough.)
The relationship between [tex]b[/tex] and [tex]h[/tex] is linear:
[tex]\displaystyle b = \frac{h}{H}\, (B - A) + A[/tex].
Cross-section area of water in this trough:
[tex]\begin{aligned}(\text{area}) &= \frac{1}{2}\, (A + b) \, h \\ &= \frac{1}{2}\, \left(A + \frac{h}{H}\, (B - A) + A\right)\, h \\ &= A\, h + \frac{1}{2\, H} (B - A)\, h^{2}\end{aligned}[/tex].
Let [tex]L[/tex] denote the length of this trough; [tex]L = 10\; {\rm m}[/tex].
Let [tex]v[/tex] denote the volume of water in this trough:
[tex]\begin{aligned}v &= (\text{area})\, L \\ &= \frac{1}{2}\, (A + b) \, h\, L \\ &= \frac{1}{2}\, \left(A + \frac{h}{H}\, (B - A) + A\right)\, h\, L \\ &= A\, L\, h + \frac{L}{2\, H} (B - A)\, h^{2}\end{aligned}[/tex].
Differentiate both sides implicitly with respect to [tex]v[/tex]:
[tex]\displaystyle \frac{d}{dv}[v] = \frac{d}{dv}\left[A\, L\, h + \frac{L}{2\, H}\, (B - A)\, h^{2}\right][/tex].
[tex]\displaystyle \frac{d}{dv}[v] = \frac{d}{dv}[A\, L\, h] + \frac{d}{dv}\left[\frac{L}{2\, H}\, (B - A)\, h^{2}\right][/tex].
[tex]\displaystyle 1 = A\, L\, \frac{dh}{dv} + \frac{L}{2\, H}\, (B - A)\, 2\, h\, \frac{dh}{dv}[/tex].
(Note that [tex]A[/tex], [tex]B[/tex], [tex]L[/tex], and [tex]H[/tex] are constants.)
Rearrange this equation to obtain:
[tex]\displaystyle 1 = A\, L\, \frac{dh}{dv} + \frac{L}{H}\, (B - A)\, h\, \frac{dh}{dv}[/tex].
[tex]\displaystyle 1 = \left(A\, L + \frac{L}{H}\, (B - A)\, h \right)\, \frac{dh}{dv}[/tex].
[tex]\displaystyle \frac{dh}{dv} = \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}[/tex].
Let [tex]t[/tex] denote time. It is given that the trough is being filled at a rate of [tex]0.2\; {\rm m^{3}\cdot min^{-1}}[/tex]. In other words:
[tex]\displaystyle \frac{dv}{dt} = 0.2\; {\rm m^{3}\cdot min^{-1}}[/tex].
Apply the chain rule to find the rate at which [tex]h[/tex] is changing with respect to time [tex]t[/tex]:
[tex]\begin{aligned} \frac{dh}{dt} &= \frac{dh}{dv}\cdot \frac{dv}{dt} \\ &= \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}\cdot \frac{dv}{dt} \end{aligned}[/tex].
Substitute in [tex]A = 0.30\; {\rm m}[/tex], [tex]L = 10\; {\rm m}[/tex], [tex]H = 0.50\; {\rm m}[/tex], [tex]B = 0.80\; {\rm m}[/tex], [tex]h = 0.30\; {\rm m}[/tex] (converted from [tex]30\; {\rm cm}[/tex]), and that the rate of change in [tex]v[/tex] is [tex]0.2\; {\rm m^{3}\cdot min^{-1}}[/tex]:
[tex]\begin{aligned} \frac{dh}{dt} &= \frac{dh}{dv}\cdot \frac{dv}{dt} \\ &= \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}\cdot \frac{dv}{dt} \\ &= \frac{0.2\; {\rm m^{3}\cdot min^{-1}}}{\displaystyle 0.30\; {\rm m} \times 10\; {\rm m} + \frac{10\; {\rm m}}{0.60\; {\rm m}}\, (0.80\; {\rm m} - 0.30\; {\rm m}) \, 0.30\; {\rm m}} \\ &=0.033\; {\rm m\cdot min^{-1}} \end{aligned}[/tex].
In other words, the depth of the water in this trough increases at a rate of approximately [tex]0.033\; {\rm m \cdot min^{-1}}[/tex] (meters per minute.)
with the time base set to 500 ns/div, four cycles of a waveform occupies10 divisions. what is the period and the frequency of the waveform
The period of this waveform is 2 milliseconds and its frequency is 2 kilohertz.
The period of a waveform is the time it takes for one complete cycle. The frequency of a waveform is the number of times that cycle repeats per second.
The time base is set to 500 ns/div, which means that each division represents 500 nanoseconds. Four cycles of a waveform occupies 10 divisions, so we can calculate the frequency as follows:
1) 4 cycles = 4x500ns
= 2ms
2) 2ms = 2 x 1/2 ms
3) 1/2 ms = 1/2 x 1 ms
4) 1ms = 1000us
5) 1000us / 500 ns / div = 2000 Hz
In conclusion, the period of this waveform is 2 milliseconds and its frequency is 2 kilohertz.
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what is the wavelength range in an am radio band (with frequency range 563 khz1649 khz)? answer in units of m.
Amplitude modulated (AM radio) carrier frequencies lie in the frequency range 535 to 1605 kHz. Carrier frequencies from 540 to 1600 kHz are assigned in 10 kHz increments.
So for the maximum wavelength, the speed of light divided by the minimum frequency of FM, which is 88 megahertz, is 3.41 meters. The minimum wavelength is 10 to the power of 8 meters divided by 108 megahertz. Therefore, FM wavelengths are between 2.78 meters and 3.41 meters. Since they are electromagnetic waves, they travel at the speed of light and their wavelength is given by the relationship ν = c/λ. where c is the speed of light. The wavelength of a 1,000 kHz radio wave is (2.998 × 108 m/s)/(1.000 × 106/s) = 299.8 m.
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how does the amplitude affect the speed of the wave? how does the tension affect the speed of the wave? how does the frequency affect the speed of the wave?
Amplitude does not affect wave speed because amplitude is a measure of the wave energy as it oscillates. This implies that movement of the wave is separate from the movement indicated by the sleep of the wave.
How does tension and frequency affect speed of wave?By increasing the tension, the wave speed increases and hence frequency increases. Greater tension implies greater acceleration of particles, which means greater speed of particles and hence greater speed of wave.
As we know, speed = frequency * wavelength. This clearly means that speed is directly proportional to the frequency such that when frequency increases, speed also increases and vice versa.
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An astronomical telescope is used to view distant stars. How does the angle between the just-resolvable light from two stars differ if the average light from the stars is red or if it is blue?.
The angle of just resolution light from two stars is greater if the light of the average star is red or if it is blue.
The formula to find the aperture of the telescope
D = 1.22λ/dФ
Limits of resolution:
The limit of resolution is a measure of the ability of the objective lens to separate in the image adjacent details that are present in the object.
There is diffract in the light when it passed through space and gets bent around obstacles. Diffraction grants disperse light according to wavelength, for example, it can be used to produce spectra.
Therefore an astronomical telescope is used to view distant stars. The angle is greater if the light of the average stars is red or if it is blue.
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a 5.4 kg cat and a 2.4 kg bowl of tuna fish are at opposite ends of the 4.0 m -long seesaw. how far to the left of the pivot must a 4.0 kg cat stand to keep the seesaw balanced?
0.88m to the left, where the 4.0 kg cat must be to keep the seesaw balanced.
The concept of Torque and the principle of moment are applied here to understand that the 4.0 kg cat and the bowl of tuna fish will balance the seesaw as long as the 4.0 kg cat stays on the left of the pivot.
m (big cat) = 5.4 kg
m (bowl) = 2.4 kg
m (small cat) = 4.0 kg
From the figure,
5.4 kg x (x m) = 2.4kg x (2m)
x = 4.8 / 5.4
=> 0.88m
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now the switch on the electromagnet is closed. what is the direction of the induced current in the wire loop immediately after the switch is closed (as seen from the left)?
The induced current flows the other way around. The electromagnet is closed when the switch is turned on. which way the wire loop's induced current is flowing as soon as the switch is closed.
The current that results from electromagnet induction is known as the induced current. The production of electric power relies heavily on electromagnet induction. Lenz's law, which states that the magnetic field produced by induced current opposes the magnetic field initially created by changing induced current, can be used to determine the direction of induced current.
A magnet type known as an electromagnet is one in which an electric current creates the magnetic field. Wire wound into a coil typically makes up electromagnets.
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the force F acting on a body along a circular path depends on a mass of the body (m),velocity(v) and radius (r) of the circular path.obtain the expression for the force by dimensional analysis method(take constant k to be 1)
the required equation for centripetal force is F = k m¹ v¹ r⁻¹.
A particle traveling uniformly in a circle experiences a centripetal force, F, which is dependent on the mass (m), velocity (v), and radius (r) of the circle.
the F formula using the dimensions method is
Suppose F = k mᵃvᵇrⁿ. (i)
Where a, b, and n are the respective powers of m, v, and r and k is the dimensionless constant of proportionality.
Upon putting the measurements of various amounts in (i)
we get
[M¹L¹T‐²] = Mᵃ[LT‐¹]ᵇ Lⁿ
=> [M¹L¹T‐²] = Mᵃ Lᵇ Lⁿ T⁻ᵇ
=> [M¹L¹T-²] = Mᵃ Lᵇ⁺ⁿ T⁻ᵇ
on comparing both sides we get
a = 1
b+n = 1
-b = -2 => b = 2
Then n = -1
Onputting these values in (i),
we get
F = k m¹ v¹ r⁻¹
Or
F=k(mv²)/r
This is the required equation for centripetal force.
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Why are the atomic radius and the ionic radius difficult to describe?
Because the location of the outermost electron is unclear and we are unsure of its exact location, calculating the atomic radii is fairly challenging.
What is atom?A chemical element is uniquely defined by its atoms, which are tiny pieces of substance.
An atom is made up of a core nucleus and one or more negatively charged electrons that orbit it. The positively charged, comparatively hefty protons and neutrons that make up the nucleus may be present.
The overlap of ions in a lattice structure makes it challenging to estimate the ionic radius.
Ionic radius typically decreases from group 1 to group 3 since the produced ions have a larger nuclear charge, more protons, and smaller ionic radius due to the electrons being drawn closer to the nucleus.
Calculating the atomic radii is fairly difficult because the location of the outermost electron is obscure and we are unaware of its precise location.
Thus, it is difficult to describe atomic radius and the ionic radius.
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Two identical objects are moving directly toward one another at the same speed v. What is the total kinetic energy of the system of the two objects?
The total kinetic energy of the system of the two objects can be achieved by adding of the kinetic energies of first and second body.
How do you find the kinetic energy of two objects?Kinetic energy is directly proportional to the mass of the thing and to the square of its velocity: K.E. = 1/2 m v². If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared. So the formula for kinetic energy is that it's equal to 1/2 times the mass of the object, times the immensity of its velocity squared, or another way to think about it, its speed squared. In an elastic collision, both the impulse and the kinetic energy of the system are maintained. On the other hand, in an inelastic collision, momentum is sustained but kinetic energy can not be sustained.
So we can conclude that two objects of equal mass moving with equal speeds in opposite directions have a total momentum of zero, but their total kinetic energy is not zero.
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Within free market economies, what role does self interest play? What role does competition play?
Economic activity is driven by self-interest, and competition helps to drive down costs and increase the quality, diversity, and creativity of goods and services.
What kind of activity is self-interested?Seeking your own personal gain is the definition of self-interest. You attend work in order to earn money to spend on the things you want. You attend school so that after you graduate, you'll be able to find a better career and get more money to spend on the things you desire.
How can self-interest be developed?Pick some fresh endeavors that promote goodwill in your career, family, and leisure life. Likewise, be adamant in your actions. When appropriate, communicate your thoughts and feelings to others by asking for what you want, declining what you don't want, and saying No to requests. For a while, make it a point to treat yourself to something every day.
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