Why is a frame of reference important for describing
motion?
Answer:
the frame of reference requires deciding where the object's initial position is and which direction will be considered positive.
Explanation:
what index of refraction halves the wavelength that light has in a vacuum?
a) 1.33
b) 1.50
c) 1.41
d) 2.00
e) 5.00
The index of refraction that halves the wavelength that light has in a vacuum is 2.00. Therefore, the correct option is (d) 2.00.
When light passes from one medium to another, it changes its velocity, and thus its wavelength. The index of refraction is a measure of how much light is bent when passing through a medium and can be calculated using Snell's Law:n1sin θ1=n2sin θ2where n1 and n2 are the indices of refraction of the two media, and θ1 and θ2 are the angles that the light makes with the normal line in the first and second media, respectively.
For a given angle of incidence, we can see that the index of refraction is directly proportional to the sine of the angle of refraction, which means that as the angle of refraction increases, so does the index of refraction. Now, let's assume that light is passing from vacuum (with index of refraction n1=1) to a medium with an unknown index of refraction n2.
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17) Name two ways you could decrease the potential energy of a bucket full of water sitting on a bench.
Explanation:
The potential energy of an object has the following formula
Potential energy = mgh
where m = mass of the object
g = acceleration due to gravity
h = height of the object
This means that the potential energy of an object depends upon its mass, acceleration due to gravity, and height.
In the given situation we have a bucket full of water. If the mass and acceleration due to gravity are not changed, the only way the potential energy can be decreased is by reducing the height of the bucket full of water.
This can be done by: -
(i) Lifting the bucket full of water in such a way that you
decrease its height as compared to the bench.
(ii) Put the bucket full of water on a stool whose height is
lower than the bench.
Answer:
1.By decreasing it's contents- this decreases the weight of the bucket thus decreasing the potential energy of the bucket.
2.By decreasing the height of the bench we have decreased the amount of potential energy stored in the bucket
How is electric correct different from static electricity? Why is a fuse an important device in an electrical circuit?
Static electricity represents charges without movement, while electric current represents charges in motion (electric flow).
The fuse is a component of electrical installations that is interrupted or melts when the current is excessive. Fuses are composed of a sheet or filament made of an alloy or metal that is characterized by a low melting point. This element is located at a strategic point in the electrical installation so that it melts if the intensity of the current exceeds a certain value. Thus, the fuse interrupts the current and safeguards the integrity of the conductors, minimizing the risk of fire or breakdown.
The tires of a car make 62 revolutions as the car reduces its speed uniformly from 90.0 km/h to 59.0 km/h. The tires have a diameter of 0.86 m.(A) What was the angular acceleration of the tires? (B) If the car continues to decelerate at this rate, how much more time is required for it to stop? (C) If the car continues to decelerate at how far does it go? Find the total distance.
A) Angular acceleration = -2.47 rad/s²
B) 23.54 seconds
C) The total distance covered = 294.23m
Explanations:The number of revolutions = 62
Angular distance, θ = 62 x 2π
θ = 62 x 2 x 3.142
θ = 389.608 radians
Diameter, d = 0.86 m
Radius, r = d/2 = 0.86/2
r = 0.43m
Initial velocity, v₁ = 90 km/h = 90 x (1000/3600)
v₁ = 25 m/s
Angular velocity, w₁ = v₁ / r
w₁ = 25/0.43
w₁ = 58.14 rad/s
Final velocity, v₂ = 59 km/h = 59 x (1000/3600)
v₂ = 16.39 m/s
Angular velocity, w₂ = v₂ / r
w₂ = 16.39 / 0.43
w₂ = 38.12 rad/s
Using the equation of motion:
\(\begin{gathered} w^2_2=w^2_1\text{ + 2}\alpha\theta \\ 38.12^2=58.14^2\text{ + 2}\alpha(389.608) \\ 38.12^2-58.14^2=\text{ }779.216\alpha \\ 779.216\alpha\text{ = }-1927.1252 \\ \alpha\text{ = }\frac{-1927.1252}{779.216} \\ \alpha\text{ = }-2.47rad/s^2 \end{gathered}\)Angular acceleration = -2.47 rad/s²
B) Amount of time required for the car to stop if it continues to decelerate at this rate
Initial angular speed, w₁ = 58.14 rad/s
When the car stops, final angular speed, w₂ = 0 rad/s
Using the equation of motion below:
\(\begin{gathered} w_2=w_1+\text{ }\alpha t \\ 0\text{ = 58.14 + (-2.47)t} \\ -2.47t\text{ = -58.14} \\ t\text{ = }\frac{-58.14}{-2.47} \\ t\text{ = }23.54\text{ seconds} \end{gathered}\)C) The total distance
Use the equation of motion below:
\(\begin{gathered} S=v_1\text{t + }\frac{1}{2}at^2 \\ a\text{ = }\alpha r \\ a\text{ = (-2.47)(0.43)} \\ a\text{ = }-1.0621m/s^2 \end{gathered}\)\(\begin{gathered} S=v_1\text{t + }\frac{1}{2}at^2 \\ S\text{ = }25(23.54)+0.5(-1.0621)(23.54)^2 \\ S\text{ = }588.5-294.27 \\ S\text{ = }294.23\text{ m} \end{gathered}\)The total distance covered = 294.23m
Since gravitational forces exist wherever mass exists, and since gravity affects the curvature of space, then we can determine
Since gravitational forces exist wherever mass exists, and since gravity affects the curvature of space, we can determine the gravitational pull between any two objects of known mass and distance apart.
This can be done using the formula F=G(m1*m2)/r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. Additionally, understanding how gravity affects the curvature of space can help us better understand the behavior of massive objects in the universe, such as black holes and galaxies.
Gravitational forces are attractive forces that exist between any two objects with mass. These forces are mediated by a fundamental force of nature called gravity, which is a fundamental interaction described by Einstein's theory of general relativity. According to this theory, mass and energy warp or curve the fabric of space and time, creating what is known as a gravitational field.
When an object with mass is present in space, it creates a curvature or deformation in the surrounding space-time fabric. This curvature influences the motion of other objects in the vicinity, causing them to move in curved paths due to the gravitational force. The more massive an object is, the stronger its gravitational field and the greater the curvature of space-time it produces.
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a long solenoid (1500 turns/m) with the inner radius of 2.0 cm carries a 22.2 ma current. along the axis of the solenoid, a thin wire carrying a 2.0 a current is stretched. what is the magnitude of the magnetic field at a point that is inside the solenoid and 1.0 cm from the wire? (ignore the magnetic field of the earth).
The magnitude of the magnetic field at a point 1.0 cm from the wire inside the solenoid is For the magnetic coil, I = 22.2 mA = 20 x 10⁻³
diameter of the magnetic coil, d = 4 cm = 0.04 m
The magnetic field at a point in the magnetic coil is given by
B₁ = μ₀nI
where; μ₀ is the permeability of free space = 4π x 10⁻⁷ m/A
B₁ = 4π x 10⁻⁷ x 1500 x 22.2 x 10⁻³
B₁ = 3.33 x 10⁻⁵
Also, then use the second wire to enter the required magnetic field strength. Current in wire, I = 2 A Magnetic field distance from wire, r = 1 cm = 0.01 m
magnetic field 1.0 cm from wire Substitute in equation:
B2 = μ₀I/2πr
B2 = 4π x 10⁻ ⁵ x2/2x 3.14 x0.01
B2 = 4.0 x 10⁻⁵ T
Obtain the resulting magnetic field:
B = 5.2 x 10⁻⁵
So 1.0 cm from the wire inside the solenoid B = 5.2 x 10⁻⁵
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20. There is a bell at the top of a tower that is 45 m high. The bell weighs 19 kg. The bell has
energy. Calculate it.
Explanation:
Find an energy is E =mgh, so E = 45*10*19=8550j
True/false: magnetism-detecting bacteria turn with an applied magnetic field
The answer is True. Magnetism-detecting bacteria have the ability to align with magnetic fields, which is known as magnetotaxis. This is accomplished through the presence of magnetosomes, which are specialized organelles that contain magnetic particles.
These magnetic particles allow the bacteria to sense the Earth's magnetic field and use it for orientation and navigation. When an external magnetic field is applied, the magnetosomes within the bacteria will align with the field, causing the bacteria to turn and move in the direction of the field. This property has been studied and utilized in various fields such as biotechnology and medicine for targeted delivery of drugs and therapies. In summary, magnetism-detecting bacteria can turn with an applied magnetic field due to their ability to align with magnetic fields.
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i have a few questions
multipe choice
8) Kinetic energy is the energy of ________.
9)The potential energy of an object depends on its ________ and its height.
10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.
11) Stored energy is called ________ energy.
12) When you move your hand or foot, your body has converted potential energy into ________ energy.
13) When coasting while roller skating, you eventually stop due to ________.
please and thank you
Energy refers to the ability or capacity to do work. Energy can be of various types as follows:
Mechanical energy (kinetic or potential)Electrical energyLight energySolar energyHeat energyKinetic energy is energy possessed by an object because of its motion while potential energy is energy possessed by an object because of its position or its condition.
The law of conservation of energy states that energy cannot be created nor destroyed but can only be transformed i.e. converted from one form to another.
Friction is a force that resists the relative motion or tendency to such motion of two bodies in contact.
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the hallway in kim's house is 4.63 m long. her kitchen is 0.0049 km long. which is longer, the hallway or the kitchen? how much longer?
By 0.27m, the kitchen is farther than the hallway. Because Kim's home's hallway is 4.63 metres long. The distance of her kitchen is 0.0049 kilometres. The distance is same in any velocity.
Distance is measured numerically or sporadically qualitatively. far apart certain things or points are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. Purposes In disciplines that study human behaviour, such the social sciences, qualitative measurements are frequently used. The rate of change in an object's position relative to a frame of reference is called velocity, and it depends on time.
4.9m is equal to 0.0049 km;
the difference is equal to 4.9 - 4.63;
and the difference is equal to 0.27.
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at what distance is an object if its parallax, as measured from either end of a 4723 km baseline, is 4''(arcsec)?
The position of an object changes when you move, and this is known as parallax. For instance, if you turn your head a little from side to side while looking at a nearby object, the object will appear to be moving back and forth.
Sit steady and look at an object while covering your right and left eyes alternately to observe parallax. As you do that, the object will appear to "bounce back and forth." We are able to calculate the distance to surrounding objects thanks to parallax. We frequently employ it in straightforward acts like taking up a pencil. Because stars are so far away, the angle by which their positions change is quite small—only a few hundredths of a degree. The change is so slight that astronomers employ an even smaller measurement of angle called an arc-second, which is equivalent to a sixty-fifth of a sixty-fifth of a degree. So, one arc-second is equal to 1/60x1/60 or 1/3600 of a degree.
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3.5 x 10^-3 as a regular number (convert from scientific notation to a real number)
Answer: 0.0035
============================================
Explanation:
The exponent is -3, so we move the decimal point 3 spots to the left to go from 3.5 to 0.0035
If the exponent was positive, then we would move the decimal point to the right that amount of spaces.
Puck A and puck B are free to slide without friction on a horizontal air table; the mass of puck A has been measured to be 165. 0 grams , but the mass of puck B is unknown. The pucks are made of super-ball like material, so any collision between them should be elastic. An experiment is done with puck B at rest at the center of the air table, and with puck A sent at 55. 0 cm/s to make a glancing collision with puck B. After the collision, puck A is measured to have a speed of 29. 0 cm/s , and is observed to have been deflected by 27. 0 degrees from its original direction. What was the y component of puck B's momentum after the collision?
The y component of puck B's momentum after the collision is 0 g cm/s.
What is momentum?Momentum is the quantity of motion of a moving object, measured as a product of its mass and velocity. In physics, it is a conserved quantity, meaning that the total momentum of a closed system remains constant, regardless of the interactions within the system. Momentum can be transferred from one object to another, or between objects and their environment. Momentum is the driving force behind many physical phenomena, including collisions, friction, rocket propulsion, and the orbits of planets and stars.
\(p_A\) (before) = \(m_A\) * \(v_A\) = 165.0 g * 55.0 cm/s = 9077.5 g cm/s
\(v_A\) (x) = \(v_A\) * cos(27.0°) = 29.0 cm/s * cos(27.0 °) = 27.61 cm/s
\(v_A\) (y) = \(v_A\) * sin(27.0 °) = 29.0 cm/s * sin(27.0 °) = 14.26 cm/s
Using these components, we can calculate the momentum of puck A after the collision:
\(p_A\) (after) = \(m_A\) * \(v_A\) = 165.0 g * 27.61 cm/s = 4562.1 g cm/s
\(p_A\) (before) + \(p_B\) (before) = \(p_A\) (after) + \(p_B\) (after)
9077.5 g cm/s + \(p_B\) (before) = 4562.1 g cm/s + \(p_B\) (after)
\(p_B\) (before) = 4562.1 g cm/s - 4562.1 g cm/s = 0
Since the momentum of puck B before the collision was 0, its momentum after the collision must also be 0. Therefore, the y component of puck B's momentum after the collision is 0 g cm/s.
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What is the initial velocity and the net force (I don't want to do this again but I need to know the formula)
If you did it, thank you.
Answer:
F = 64655.86 N
Explanation:
Im not sure about the initial velocity but its somewhere near 0.23 m/s
5. Explain how forming an ionic bond makes metal and nonmetal atoms more stable.
6. Describe how metallic bonds contribute to the physical characteristics of a metal.
7. Describe the type of ions created through metallic bonding.
8. List the three types of atomic bonds and describe the types of atoms-metal
or nonmetal-that form each type of bond.
a man of mass 60 60 kg, runs up the stairs of total height 5 5 meters in 4 4 seconds. how much power is exerted by the man?
The power exerted by the man is 735 watts.
To find the power exerted by the man, we need to use the formula for power, which is:
Power = Work / Time
Work is the product of force and displacement, so we can write the formula as:
Power = (Force × Displacement) / Time
We know that the displacement is 5 meters and the time is 4 seconds. To find the force, we need to use the formula for weight, which is:
Weight = Mass × Acceleration
The acceleration in this case is the acceleration due to gravity, which is 9.8 m/s². So the weight of the man is:
Weight = 60 kg × 9.8 m/s² = 588 N
Now we can plug in the values into the formula for power:
Power = (588 N × 5 m) / 4 s = 735 Nm/s = 735 W
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Did you mention the correct independent variable – the substance’s properties (such as solubility, conductivity, and state of matter)?
yes
no
somewhat
Did you mention the correct dependent variable – the type of bond, ionic or covalent?
yes
no
somewhat
Answer:
1. Somewhat 2.Yes
Explanation:
Answer:
C,a
Explanation:
The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52. Which measure should the weather bureau use to calculate how far apart the upper and lower quartiles of the week's daily temperatures were?
Answer:
Inter Quartile Range
Explanation:
Quartile is a positional statistical average, which divided the data into 4 equal halves.
Q1 (Lower Quartile) has 25% data below it, 75% above it. Q3 (Upper Quartile) has 75% data below it, 25% above it.
Interquartile range is the measure used to calculate how far the lower & upper quartiles are.
a particular am radio station broadcasts at a frequency of 1040 kilohertz. what is the wavelength of this electromagnetic radiation?
Answer:
1040 Kilohertz = 1.04E6 /sec
Speed of electromagnetic waves = 3.00E8 m/s
3.00E8 / 1.04E6 = 288 m (a λ/4 antenna still requires 72 m)
Can you think of a way to explain Hubble's Law other than the
standard Big Bang idea, which includes the concept of a Universe
with no center and no edge?
An alternative way to explain Hubble's Law without relying on the standard Big Bang idea of a universe with no center and no edge is through the concept of a "tired light" hypothesis.
According to this hypothesis, the redshift observed in distant galaxies is not due to their motion away from us in an expanding universe, but rather the result of photons gradually losing energy as they travel through space.
In the tired light scenario, the wavelength of light is thought to stretch over time due to interactions with matter or other unknown processes. As a result, the light from distant galaxies appears redshifted, mimicking the effect of cosmic expansion. This explanation implies that the universe may have a finite size and a center, challenging the notion of an infinite and uniformly expanding universe.
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What comes to mind when you hear the term acid?
A Brnsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H+) or establish a covalent bond with an electron pair.
What is acid?Proton donors, also known as Brnsted-Lowry acids, are the first class of acids. Proton donors, also referred to as Arrhenius acids, generate the hydronium ion H3O+ under the unique situation of aqueous solutions.
The Arrhenius theory was expanded upon by Brnsted and Lowry to take non-aqueous solvents into account.
A hydrogen atom is typically bound to a chemical structure in a Brnsted or Arrhenius acid that is still energetically advantageous after the loss of H+. Aqueous Arrhenius acids have distinguishing characteristics that serve as a useful definition of an acid.
Therefore, A Brnsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H+) or establish a covalent bond with an electron pair.
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A spacecraft of mass 6000 kg lifts off the surface of Jupiter, where the acceleration due to gravity is 25 Newtons per kilogram (25 meters per second squared). What is the weight of the spacecraft on Jupiter?
Answer:
150000N
Explanation:
Given parameters:
Mass = 6000kg
Acceleration due to gravity = 25m/s²
Unknown:
Weight of the spacecraft on Jupiter = ?
Solution:
Weight is the vertical force on a body;
Weight = mass x acceleration
Weight = 6000 x 25 = 150000N
Calculate the energy per photon (in J) associated with a frequency of 1260kHz Submit answer in scientific notation using the foat 0.00×10∧ 0(e.g.0.000123=1.23×10 ∧
−4). Omit units and spaces.
The energy per photon associated with a frequency of 1260 kHz is 2.10×10^-25 J.
To calculate the energy per photon, we can use the equation: E = hf, where E represents the energy, h is the Planck's constant (6.62607015 × 10^-34 J·s), and f is the frequency of the photon. Given that the frequency is 1260 kHz, we need to convert it to hertz (Hz) by multiplying it by 10^3:
Frequency = 1260 kHz × 10^3 = 1.26 × 10^6 Hz
Now, we can substitute the values into the equation:
E = (6.62607015 × 10^-34 J·s) × (1.26 × 10^6 Hz)
E = 8.33929859 × 10^-28 J
The answer is given in scientific notation as 8.34 × 10^-28 J. However, the question specifically asks for the answer in the format of 0.00×10^0. To achieve this, we can multiply the result by 10^3 and adjust the exponent accordingly:
E = (8.33929859 × 10^-28 J) × (10^3)
E = 8.33929859 × 10^-25 J
Thus, the energy per photon associated with a frequency of 1260 kHz is 2.10×10^-25 J.
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How do you find a change in velocity?
A parallel plate capacitor is made of plates 1.0 sqm and has a separation of 1 mm. The space between the plates is filled with dielectric of εr = 25. If 1.0-kV potential difference is applied to the plates, find the force squeezing the plates together.
The force squeezing the plates of the parallel plate capacitor together is approximately 1,106,250 N.
To find the force squeezing the plates of a parallel plate capacitor together, we can use the formula:
F = (1/2) × ε₀ × εᵣ × A × (V/d)²
Where:
F is the force
ε₀ is the vacuum permittivity (ε₀ ≈ 8.85 × \(10^{-12\) F/m)
εᵣ is the relative permittivity (dielectric constant)
A is the area of the plates
V is the potential difference applied to the plates
d is the separation between the plates
Given:
Area of the plates (A) = 1.0 m²
Separation between the plates (d) = 1 mm = 0.001 m
Relative permittivity (εᵣ) = 25
Potential difference (V) = 1.0 kV = 1000 V
Now let's substitute the values into the formula to calculate the force:
F = (1/2) × ε₀ × εᵣ × A × (V/d)²
F = (1/2) × (8.85 × \(10^{-12\) F/m) × 25 × 1.0 m² × (1000 V / 0.001 m)²
Simplifying the calculation:
F = 0.5 × 8.85 × 25 × 1.0 × (10³ / \(10^{-3\))² N
F = 0.5 × 8.85 × 25 × 1.0 × 10^6 N
F ≈ 1106250 N
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The load L, in pounds, on a certain sail varies directly as the square of the wind speed v, in miles per hour. If the load on a sail is 560 lb when the wind speed is 20 mph, what is the load on the sail when the wind speed is 15 mph?
The value of k, we can use the equation to find the load L when v = 15 mph: 315 lb
An equation is a mathematical statement that expresses the equality of two expressions. It is composed of two expressions separated by an equal sign (=), with each expression containing at least one variable. Equations can involve addition, subtraction, multiplication, division, and exponents, as well as other mathematical operations. Equations are used to solve problems in many different fields of study, including mathematics, physics, chemistry, and engineering.
The equation that describes the relationship between the load L and the wind speed v is L = kv², where k is a constant.
Since we know that L = 560 lb when v = 20 mph, we can find k by solving for it:
560 = k(20)²
k = 0.14
Now that we know the value of k, we can use the equation to find the load L when v = 15 mph:
L = 0.14(15)²
L = 315 lb
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Which two types of energy does an apple falling to the ground have?
Answer: kinetic energy and potentoal
Explanation: dhsjsjdne
The isotope radium-226 decays into radon-222, with a half-life of around 1,600 years. If a rock contained 6 grams of radium-226 when it reached its closure temperature but only 0.375 grams when it was discovered, which two statements about the rock are true?
The rock reached its closure temperature 6,400 years ago.
The rock reached its closure temperature 4,800 years ago.
The rock had 2.625 grams of radon-222 1,600 years ago.
When the rock was discovered, it had 5.625 grams of radon-222.
When the rock was discovered, it had 3.375 grams of radon-222.
This statement is true. If the rock contained 6 grams of radium-226 at the closure temperature and 0.375 grams at the time of discovery, the remaining mass difference (6 - 0.375 = 5.625 grams) is attributed to the decay of radium-226 into radon-222. Therefore, the rock had 3.375 grams of radon-222 when it was discovered. Based on the given information, statement 5 is the only true statement.
To determine the statements that are true, let's consider the information provided.
The rock reached its closure temperature 6,400 years ago.
This statement is not true. The closure temperature is the temperature at which a mineral retains its daughter isotopes without any further loss or gain. However, the closure temperature is not directly related to the half-life of the parent isotope.
The rock reached its closure temperature 4,800 years ago.
This statement is not true. Similar to the previous statement, the closure temperature is not determined solely based on the half-life of the parent isotope.
The rock had 2.625 grams of radon-222 1,600 years ago.
This statement is not true. The amount of radon-222 present 1,600 years ago cannot be determined directly from the information provided.
When the rock was discovered, it had 5.625 grams of radon-222.
This statement is not true. The amount of radon-222 when the rock was discovered is given as 0.375 grams, not 5.625 grams.
When the rock was discovered, it had 3.375 grams of radon-222.
This statement is true. If the rock contained 6 grams of radium-226 at the closure temperature and 0.375 grams at the time of discovery, the remaining mass difference (6 - 0.375 = 5.625 grams) is attributed to the decay of radium-226 into radon-222. Therefore, the rock had 3.375 grams of radon-222 when it was discovered.
Based on the given information, statement 5 is the only true statement.
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1. You serve a volleyball with a mass of 2.1 kg. The ball leaves your hand with a speed of 30 m/s. The ball has __________________ energy. Calculate it.