Kinetic energy is affected by the mass (m) and speed (v) of an object. If an object with mass m moves with speed v, then it can be said that the object has a kinetic energy of:
KE = 1/2 x mv2
In the given problem:
The speed of the soda bottle from a height of 0.8 meters is 4 m/s.
If the mass of the soda bottle is 0.125 kg, the KE is:KE = 1/2 x mv2
KE = ½ x 0.125 x (4)2
KE = ½ x 0.125 x 16
KE = 1 Kgm²/s²
If the mass of the soda bottle is 0.250 kg, its KE is:KE = 1/2 x mv2
KE = ½ x 0.250 x (4)2
KE = ½ x 0.250 x 16
KE = 2 Kgm²/s²
If the mass of the soda bottle is 0.375 kg, the KE is:KE = 1/2 x mv2
KE = ½ x 0.375 x (4)2
KE= ½ x 0.375 x 16
KE = 3 Kgm²/s²
If the mass of the soda bottle is 0.500 kg, its KE is:KE = 1/2 x mv2
KE = ½ x 0.500 x (4)2
KE = ½ x 0.500 x 16
KE = 4 Kgm²/s²
Complete the questions is:
Calculate the change in the kinetic energy (KE) of the bottle when the mass is increased. Use the formula KE = mv2, where m is the mass and v is the speed (velocity). Assume that the speed of the soda bottle falling from a height of 0.8 m will be 4 m/s, and use this speed for each calculation. Record your calculations in Table A of your Student Guide.
When the mass of the bottle is 0.125 kg, the KE is kg m2/s2. When the mass of the bottle is 0.250 kg, the KE is kg m2/s2. When the mass of the bottle is 0.375 kg, the KE is kg m2/s2. When the mass of the bottle is 0.500 kg, the KE is kg m2/s2.Learn more about kinetic energy at https://brainly.com/question/25959744
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A red light means to stop. If you are turning from a two-way road or onto a two-way road, then you are NOT allowed to turn
A red light means to stop. If you are turning from a two-way road or onto a two-way road, then you are NOT allowed to reverse your car If you can't do it
Red is typically used to indicate danger or warning, and on traffic lights, it indicates a potential hazard ahead and, as a result, serves as a signal for drivers to stop. If the traffic light turns red while you are already at a junction, you must move swiftly to the opposite side to avoid a potential accident with oncoming traffic.
If the traffic light has turned red as you approach the junction and you are just entering it, you must stop. Unless there is a sign clearly telling you not to turn left at the red light, you may do so. Give way to people and cars coming from other directions when turning.
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Answer: you are not allowed to turn left on a red light from a two way to a two way
Sirius, the brightest star in the sky, is 2.6 parsecs (8.6 light-years) from Earth, giving it a parallax of 0.379 arcseconds. Another bright star, Regulus , has a parallax of 0.042 arcseconds. What is its distance in parsecs
Answer: Sirius, the brightest star in the sky, is 2.6 parsecs (8.6 light-years) from Earth, giving it a parallax of 0.379 arcseconds. Another bright star, Regulus, has a parallax of 0.042 arcseconds. Then, the distance in parsecs will be,23.46.
Explanation: To find the answer, we have to know more about the relation between the distance in parsecs and the parallax.
What is the relation between the distance in parsecs and the parallax?Let's consider a star in the sky, is d parsec distance from the earth, and which has some parallax of P amount.Then, the equation connecting parallax and the distance in parsec can be written as,[tex]d=\frac{1}{P}[/tex]
We can say that,[tex]dP=constant.\\thus,\\d_1P_1=d_2P_2[/tex]
How to solve the problem?We have given that,[tex]d_1=2.6 parsecs.\\P_1=0.379arcseconds.\\P_2=0.042 arcseconds.\\d_2=?[/tex]
Thus, we can find the distance in parsecs as,[tex]d_2=\frac{d_1P_1}{P_2} =23.46 parsecs[/tex]
Thus, we can conclude that, the distance in parsecs will be, 23.46.
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A bicyclist covers the first leg of a journey that is d1meters in t1seconds at a speed of v1m/s and the second leg of d2meters in t2seconds at a speed of v2m/sIf his average speed is equal to the average of v1 and v2
then which of the following is true?
1. t1=t2
2. t1≠t2
3. d1=d2
4. d1≠d2
According to motion in straight line t1≠t2
A biker travels d1 meters in t1 seconds at v1 m/s for the first leg and d2 meters in t2 seconds at v2 m/s for the second leg. It's possible that t1t2 if his average speed is equal to the average of v1 and v2.
An object is said to be in motion if its position in relation to its surroundings changes over time. It is a shift in an object's position over time. The only type of motion that exists is motion in a straight line.
A reference system is constantly used to describe a particle's motion. An arbitrary origin point is used to create a reference system, and a coordinate system is imagined to be connected to it. The reference system for a specific problem is the coordinate system that has been selected for it. For the majority of the problems, we typically select an earth-based coordinate system as the reference system.
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A variable capacitor with a range from 12 to 279 pF is used with a coil to form a variable-frequency LC circuit to tune the input to a radio. (a) What is the ratio of maximum frequency to minimum frequency that can be obtained with such a capacitor
The ratio of maximum frequency and minimum frequency is 4.9.
Calculation:
The relation between frequency, f, and conductance, C and inductance, L is given as:
[tex]f = \frac{1}{2\pi \sqrt{LC} }[/tex]
Given,
Cmax = 279 pF
Cmin = 12 pF
The smaller value of C gives the the larger value of f, therefore,
[tex]fmax = \frac{1}{2\pi\sqrt{LCmin} }[/tex] ....(1)
[tex]fmin = \frac{1}{2\pi\sqrt{LCmax} }[/tex] .....(2)
Dividing both the equations (1) and (2):
[tex]\frac{fmax}{fmin} =\frac{\sqrt{Cmax} }{\sqrt{Cmin} }[/tex]
[tex]\frac{fmax}{fmin} = \frac{\sqrt{279} }{\sqrt{12} }[/tex]
[tex]= 4.9[/tex]
Hence, the ratio of maximum to minimum frequency is 4.9.
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What force would require an 8-kg bowling ball to accelerate at a rate of 5 meters per second squared(m/s^2)?
Answer:
87 kph
Explanation:
Per professor trice's lecture, what has richard dyer written about stars?
Richard Dyer written about stars that a star must be represented simultaneously as, just like us (the audience/regular people), but also at the same time possess something we do not have and something that makes them special, different, extraordinary.
According to the question
Richard Dyer is a British media theorist, who discussed a star’s special place in the audiences’ lives.
He (similarly to Hall) suggests that a star’s meta-narrative impacts on the consumption by the audience. He argued that the star image is manufactured and artificial and that individual stars have their own unique selling point (brand values) in order to grab and hold our attention – for
example – Justin Bieber’s hair, JLS’ colour codes...
Hence, Richard Dyer written about stars that a star must be represented simultaneously as, just like us (the audience/regular people), but also at the same time possess something we do not have and something that makes them special, different, extraordinary.
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A 500-turn solenoid is 8 cm long. When the current in this solenoid is increased from 0 A to th emagnitude of the induced EMG is 0.012 V. Find inductance
The inductance for a solenoid is 1.7 mH
What is Inductance?
It is the property of an electric conductor or circuit that causes an electromotive force to be generated by a change in the current flowing.
The formula for the inductance:
L = |e| / ( Δi / Δt )
Where,
L = inductance
e = induced emf = 0.012 V
Δi = change in current = 2.5-0 = 2.5 A
Δt = change in time = 0.35 s
Substituting the values in formula of Inductance,
L = 0.012 / ( 2.5/0.35 )
L = 1.7 * 10^-3 H
L = 1.7 mH
Hence
The inductance for a solenoid is 1.7 mH
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Your question is incomplete, but probably full question was:
A 500-turn solenoid is 8.0 cm long. When the current in this solenoid is increased from 0 to 2.5 A in 0.35 s, the magnitude of the induced emf is 0.012. Find the inductance.
Consider the elliptical orbit of a comet around the sun. where in its orbit is the comet moving the fastest?
Considering the elliptical orbit of a comet around the sun , the closer is the comet , the faster it will move .
Comets are thought to orbit the sun in either the Oort cloud or Kuiper belt. When another star passes by the solar system, its gravity pushes the Oort cloud and/or Kuiper belt and causes comets to descend toward the sun in a highly elliptical orbit with the sun at one focus of the ellipse. The closer is the comet , the faster it will move
It is been observed that comets motion is mostly get affected by sun's gravity. As a comet gets closer to the sun it moves faster and faster and as comet gets away from the sun , its speed get decreased. So, the comet should be as closer at it can be to the sun in order to move fastest
Here , it can be observed that comet's speed is inversely proportional to its distance from the sun.
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What is the angular momentum of the moon around the earth? the moon’s mass is 7.4 * 1022 kg and it orbits 3.8 * 108 m from the earth.
The angular momentum of the moon around the earth is 2.92 * [tex]10^{34}[/tex] kg [tex]m^{2}[/tex]/s
Angular momentum a vector quantity that is a measure of the rotational momentum of a rotating body or system, that is equal in classical physics to the product of the angular velocity of the body or system and its moment of inertia with respect to the rotation axis, and that is directed along the rotation axis.
m (mass of moon ) = 7.4 * [tex]10^{22}[/tex] kg
orbit = 3.8 * [tex]10^{8}[/tex] m
L = I ω
= m [tex]r^{2}[/tex]ω
= 7.4 * [tex]10^{22}[/tex] * [tex](3.8 *10^{8} )^{2}[/tex] * (2π / 27 * 24 * 3600)
= 2.92 * [tex]10^{34}[/tex] kg [tex]m^{2}[/tex]/s
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In the circuit shown, switch S is first pushed up to charge the capacitor. When S is then pushed down, the current in the circuit will oscillate at a frequency of:
The current in the circuit will have an oscillation frequency of = 318 Hz
For oscillating frequencies, the time period, amplitude, and wavelength are the three most crucial components. The difference between the oscillation's highest and minimum points is represented by its amplitude, which is measured in terms of time.
The following formula can be used to get the oscillating wave's frequency from the time period:
Frequency (f) = 1/Time period
Oceanic waves and sound both require a minimum physical distance to complete an oscillation cycle. The term "wavelength" refers to a physical measurement between two points at regular intervals. The number of events in one unit of time is known as the frequency (f). The frequency of periodic motion is the number of oscillations per unit of time.
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what happens as a planet approaches the perihelion of its orbit around the sun?
the planet approaches to it's highest velocity
Since the Sun is not at the center of an elliptical orbit, the planet moves closer towards and further away from the Sun as it orbits.
What happens as a planet approaches the perihelion of its orbit around the sun ?The place where the planet is closest to the Sun is called perihelion. When the planet is furthest away from the Sun, it is at aphelion.
The words "aphelion" and "perihelion" come from the Greek language. In Greek, "helios" mean Sun, "peri" means near, and "apo" means away from.When Earth is at perihelion, it is about 147 million km (91 million miles) from the Sun. When it is at aphelion, it is 152 million km (almost 95 million miles) from the Sun.Learn more about Perihelion here:
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In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
The correct answer is Exothermic reaction and the values are follows: Activation energy = 10 kJ, enthalpy change = -25 kJ
Exothermic reactions are those in which the energy of the reactant is greater than the energy of the result. Heat is produced as a result of the entire energy being released, and this results in a negative response.
Given: The reactants' potential energy is 30 kJ
Products' potential energy is 5 kJ.
The system's maximum energy is 40 kJ.
The additional energy that must be provided to reactants in order for them to break through the energy barrier and transform into products is known as activation energy.
Maximum energy of the system - Potential energy of the reactants equals (40-30) kJ = 10 kJ, which is the activation energy.
Enthalpy change is equal to ((5-30) kJ= -25 kJ): Potential energy of the products - Potential energy of the reactants.
Exothermic reactionA process for which the overall standard enthalpy change (H) is negative is referred to as an exothermic reaction in thermochemistry. Typically, exothermic reactions produce heat. IUPAC defines exergonic reaction as "... a reaction for which the overall standard Gibbs energy change G is negative." The two terms are frequently mixed up. Since "H" significantly contributes to "G," a very exothermic process will typically also be exergonic. Exothermic and exergonic reactions make up the majority of the impressive chemical reactions that are presented in classrooms. The opposite is an endothermic process, which often produces heat and is fueled by a rise in system entropy. A chemical system's energy can be thought of as its enthalpy.
In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic reaction? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
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A 6.0 mH inductor is in a circuit. At the instant the current is 5.0 A and its rate of change is 200 A/s, the rate with which the energy stored in the inductor is increasing is:
The rate with which the energy stored in the inductor is increasing at 6 Joule/s.
To find the answer, we need to know about the rate of change of energy in inductor.
What's the rate of change of energy of inductor?The energy stored in inductor (E)=(1/2)× L× I²The rate of change of energy (dE/dt) = L×I×(dI/dt)What's the rate of energy increased in the inductor, if rate of increasing current, L and I are respectively 200A/s, 6mH and 5 A respectively?Here , dI/dt = 200A/s, L=6mH, I = 5 ARate of energy increased= 6mH×5×200= 6 Joule/s
Thus, we can conclude that the rate of increasing energy is 6 Joule/s.
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What is the average power supplied by a 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s?
Group of answer choices
a. 670 W
b. 560 W
c. 610 W
d. 380 W
A 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s has an average power of 560 W (Option b).
What is power?Power is the work done over a period of time.
A secretary with a mass (m) of 60.0 kg runs up a 4.0 m (d) tall flight of stairs. Given gravity (g) is 9.81 m/s², the work (W) done is:
W = m × g × d = 60.0 kg × 9.81 m/s² × 4.0 m = 2.35 × 10³ J
They do 2.4 × 10³ J of work in 4.2 s (t). The average power (P) is:
P = W / t = 2.35 × 10³ J / 4.2 s = 560 W
A 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s has an average power of 560 W (Option b).
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An ordinary flashlight battery has a potential difference of 1.2 V between its positive and negative terminals. How much work must you do to transport an electron from the positive terminal to negative terminal
The work done to transport an electron from the positive to the negative terminal is 1.92×10⁻¹⁹ J.
Given:
Potential difference, V = 1.2 V
Charge on an electron, e = 1.6 × 10⁻¹⁹ C
Calculation:
We know that the work done to transport an electron from the positive to the negative terminal is given as:
W.D = (Charge on electron)×(Potential difference)
= e × V
= (1.6 × 10⁻¹⁹ C)×(1.2 V)
= 1.92 × 10⁻¹⁹ J
Therefore, the work done in bringing the charge from the positive terminal to the negative terminal is 1.92 × 10⁻¹⁹ J.
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Sketch the path that light would take through the slit. Show the beams that are incident on and reflected from the mirror. Draw arrowheads to indicate the direction that light travels.
This is the path of light through slits.
what are incident light ?
The light that hits a topic is called as incident light. It may originate from an artificial source or from a natural source, like as the sun. Incident light is also light that reflects off a reflector or another surface.
what is light ?
The region of the electromagnetic spectrum that the human eye sees as light, or visible light, is composed of electromagnetic radiation. The Sun is the primary source of natural light on Earth. Fire has historically been a major source of light for people, from ancient campfires to modern kerosene lamps. Electric lighting has largely taken the place of firelight as a result of the development of electric lights and power systems.
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7. A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground.
a. Determine the kinetic energy possessed by the skydiver.
b. Determine the potential energy possessed by the skydiver.
Determine the total mechanical energy possessed by the skydiver.
timore City Public fab
The kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
To find the answer, we need to know about the expression of kinetic energy and potential energy.
What are the expressions of kinetic energy and potential energy?Mathematically, kinetic energy= 1/2 × mass × velocity²Gravitational potential energy near the earth surface= mass × g × height on the earth surfaceWhat's the kinetic energy, potential energy and total mechanical energy of the 78kg skydriver at 870 m on earth surface with 62 m/s velocity?Kinetic energy= 1/2 × 78 × 62² = 1.5 × 10⁵ JoulePotential energy= 78×9.8×870= 6.7× 10⁵ JouleWhat's the total mechanical energy?Mechanical energy= kinetic energy+ potential energy 1.5 × 10⁵ Joule + 6.7× 10⁵ Joule = 8.2× 10⁵ JouleThus, we can conclude that the kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
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If p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923, what is probability of a or b. to four decimal places? select one.
Answer:
p(a) * p(b) = .01923
p(b) = .01923 / .07692 = .2500
The probability of a or b will be equal to 0.30769.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability of the total sample points in A U B is P(A U B). The probabilities of sample points in A and B are now added together as P(A) + P(B). To get the total of probabilities in (A U B), which is P, we need to subtract once because we added the sample points in (A B) twice (A U B).
Given that p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923. The probability will be calculated by using the formula below:-
P(A) = 0.07692
P(B)=0.25
P(A[tex]\cap[/tex]B) = 0.01923
P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)
P(AUB) = 0.07692 + 0.25 - 0.01923
P(AUB) = 0.30769
Therefore, the probability of a or b will be equal to 0.30769.
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Compared to other diffraction techniques, the advantage of x-ray diffraction is that it enables:____.
Compared to other diffraction techniques, the advantage of X-ray diffraction is that it enables determination of three - dimensional molecular structure.
Diffraction is described as the interference or bending of waves via an aperture or around the corners of an obstruction into the area that forms the geometric shadow of the obstruction or aperture.
A common method for determining the crystallinity and structure of solid samples is X-ray diffraction (XRD).
In conclusion, X-rays are scattered by the electrons of atoms present in the sample without changing their wavelength, which causes the crystal X-ray diffraction phenomena.
Some advantages of X-ray diffraction
1) It determines the three-dimensional molecular structure.
2) It is a quick and effective method for determining unidentified minerals and materials.
3) Only a little sample needs to be prepared for analysis.
4) The generated data can be interpreted very easily.
5) XRD measurement equipment is commonly accessible.
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What are the consequences of the discovery of Airplanes?
Why is this discovery important?
Are there any negative/bad consequences?
Answer:
The use of airplanes also allows many people to acquire jobs in many different areas of aviation. The invention of the airplane led to new technologies, new ways of battle, modern warfare, and safer and more efficient travel. Space travel also would not have been possible without the idea of air travel.
Explanation:
Match each term with its definition.
malleability
metallic bond
alloy
ductility
electron sea theory
the bond formed when metal atoms
share many mobile electrons
metals bond to other metals by
sharing many "floating electrons
the ability of metals to be shaped by
hammering or pounding
the ability of metals to be formed into
wires
a mixture of the atoms of a metal with
another element
The correct matches are as follows:
malleability - the ability of metals to be shaped by hammering or poundingmetallic bond - the bond formed when metal atoms share many mobile electronsalloy - a mixture of the atoms of a metal with another elementductility - the ability of metals to be formed into wireselectron sea theory - metals bond to other metals by sharing many "floating electronsWhat are metals?Metals are elements which form positive ions by loss of electrons.
Metals are usually shiny, malleable and ductile.
Metal atoms combine are bonded to each other by metallic bonds.
Electron sea theory describe how mobile electrons surround positive atomic nucleus.
Alloys refer to a mixture of metals.
In conclusion, metal atoms form metallic bonds.
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A rear window defroster consists of a long, flat wire bonded to the inside surface of the window. When current passes through the wire, it heats up and melts ice and snow on the window. For one window the wire has a total length of 11.0 mm, a width of 1.8 mmmm, and a thickness of 0.11 mmmm. The wire is connected to the car's 12.0 VV battery and draws 7.5 AA.
2.6×10[tex]^-8[/tex] Ωm,A long, flat wire is used as a rear window defroster and is bonded to the window's interior surface.
Resistivity of the wire ?Electrical resistivity is a measurement of a material's degree of resistance to current flow. The SI unit for electrical resistivity is the ohm meter (m). It is frequently represented by the Greek letter rho. Materials that easily transmit current and have a low resistance are called conductors.
Length of the wire, l = 12.2 m
width of the wire, w = 1.8 mm
Thickness of the wire, T = 0.11 mm
Potential difference of the battery, v = 12 V
Current in battery, I = 7.5 A
Ohms law says, V = IR.
So that, R = V/I
R = 12/7.5 = 1.6 Ω
The Greek letter rho is frequently used to represent resistance, which is numerically equivalent to the resistance R of a wire-like specimen, multiplied by its cross-sectional area A, and divided by its length.
Resistivity if a material is:
ρ = RA/l
ρ = [1.6 × 1.8 × 10[tex]^-3[/tex] × 0.11×10[tex]^-3[/tex]] / 12.2
ρ = (3.168×10[tex]^-7[/tex]) / 12.2
ρ = 2.596×10[tex]^-8[/tex]
Therefore, the resistivity of the wire is 2.60×10[tex]^-8[/tex] Ωm
Resistivity of the wire is 2.60*10^-8 Ωm
Given:
Length of the wire, I = 12.2 m
width of the wire, w = 1.8 mm
thickness of the wire, T = 0.11 mm
Potential difference of the battery, v = 12
Current in the battery, I = 7.5 A
To Find:
Resistivity
Solution: A characteristic property of each material, resistivity is useful in comparing various materials on the basis of their ability to conduct electric currents.
Remember, Ohms law says, V = IR
So that, RV/I
R = 12/7.5= 1.6 Q
Resistivity if a material is
p = RA/I
p = [1.6 * 1.8*10^-3* 0.11*10^-3] / 12.2
p = (3.168*10^-7)/12.2
p = 2.596*10^-8
Therefore, the resistivity of the wire is 2.60*10^-8 Ωm
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A car is stopped at a traffic light. When the light turns green at t=0, a truck with a constant speed passes the car with a 20m/s velocity. The car uniformly accelerates to the velocity 35m/s in 20 seconds, the moves at a constant speed for 5 seconds. How long will it take for the car to catch up to the truck.
Answer:
At [tex]t = (70 / 3) \; {\rm s}[/tex] (approximately [tex]23.3 \; {\rm s}[/tex].)
Explanation:
Note that the acceleration of the car between [tex]t = 0\; {\rm s}[/tex] and [tex]t = 20\; {\rm s}[/tex] ([tex]\Delta t = 20\; {\rm s}[/tex]) is constant. Initial velocity of the car was [tex]v_{0} = 0\; {\rm m\cdot s^{-1}}[/tex], whereas [tex]v_{1} = 35\; {\rm m\cdot s^{-1}}[/tex] at [tex]t = 20\; {\rm s}\![/tex]. Hence, at [tex]t = 20\; {\rm s}\!\![/tex], this car would have travelled a distance of:
[tex]\begin{aligned}x &= \frac{(v_{1} - v_{0})\, \Delta t}{2} \\ &= \frac{(35\; {\rm m\cdot s^{-1}} - 0\; {\rm m\cdot s^{-1}}) \times (20\; {\rm s})}{2} \\ &= 350\; {\rm m}\end{aligned}[/tex].
At [tex]t = 20\; {\rm s}[/tex], the truck would have travelled a distance of [tex]x = v\, t = 20\; {\rm m\cdot s^{-1}} \times 20\; {\rm s} = 400\; {\rm m}[/tex].
In other words, at [tex]t = 20\; {\rm s}[/tex], the truck was [tex]400\; {\rm m} - 350\; {\rm m} = 50\; {\rm m}[/tex] ahead of the car. The velocity of the car is greater than that of the truck by [tex]35\; {\rm m\cdot s^{-1}} - 20\; {\rm m\cdot s^{-1}} = 15 \; {\rm m\cdot s^{-1}}[/tex]. It would take another [tex](50\; {\rm m}) / (15\; {\rm m\cdot s^{-1}}) = (10/3)\; {\rm s}[/tex] before the car catches up with the truck.
Hence, the car would catch up with the truck at [tex]t = (20 + (10/3))\; {\rm s} = (70 / 3)\; {\rm s}[/tex].
A bodybuilder deadlifts a 215 kg weight to a height of 0.90 m above the ground. If he deadlifts this weight 10 times in a span of 45 seconds, how much power has he exerted?
Group of answer choices
a. 8,530 W
b. 421 W
c. 853 W
d. 4,210 W
A bodybuilder deadlifts 215 kg to a height of 0.90 m. If he deadlifts this weight 10 times in 45 s, the power exerted is 421 W (b.)
What is power?In physics, power (P) is the work (W) done over a period of time.
Step 1. Calculate the work done by the bodybuilder each time.The bodybuilder lifts a 215 kg (m) weight to a height of 0.90 m (h). Being the gravity (g) of 9.81 m/s², we can calculate the work done in each lift using the following expression.
W = m × g × h = 215 kg × 9.81 m/s² × 0.90 m = 1.9 × 10³ N
Step 2. Calculate the work done by the bodybuilder over 10 times.W = 10 × 1.9 × 10³ N = 1.9 × 10⁴ N
Step 3. Calculate the power exerted by the bodybuilder.The bodybuilder does a work of 1.9 × 10⁴ N in a 45-s span.
P = 1.9 × 10⁴ N/45 s = 421 W
A bodybuilder deadlifts 215 kg to a height of 0.90 m. If he deadlifts this weight 10 times in 45 s, the power exerted is 421 W (b.)
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A population distribution shows _______. a. the distribution of age groups within a population b. the amount of organisms in a unit area c. the total number of organisms in a population d. where and in what arrangement organisms are located Please select the best answer from the choices provided A B C D
The answer would be D where and in what arrangement organisms are located.
A player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory
At the highest point in its trajectory, the ball's acceleration is zero but its velocity is not zero.
What's the velocity of the ball at the highest point of the trajectory?At the highest point, the ball doesn't go more high. So its vertical velocity is zero.However, the ball moves horizontal, so its horizontal component of velocity is non - zero i.e. u×cosθ. u= initial velocity, θ= angle of projectionWhat's the acceleration of the ball at the highest point of projectile?During the whole projectile motion, the earth exerts the gravitational force with a acceleration of gravity along vertical direction. But as there's no acceleration along vertical direction, so the acceleration along vertical direction is zero.Thus, we can conclude that the acceleration is zero and velocity is non-zero at the highest point projectile motion.
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory
A- neither the ball's velocity nor its acceleration are zero.
B- the ball's acceleration points upward.
C- the ball's acceleration is zero but its velocity is not zero.
D- the ball's velocity points downward.
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A 25. 00 ml sample of acetic acid containing phenolphthalein indicator is titrated with 0. 1067 m naoh. The solution changes color after 30. 07 ml naoh has been added. What is the concentration of the acetic acid before titration?.
The concentration of the acetic acid:
The concentration of the acetic acid before titration is 0.128M
Reaction of phenolphthalein with NaOH:
The sodium hydroxide will start interacting with phenolphthalein as soon as enough sodium hydroxide has been added to the acetic acid such that there is no longer any unreacted acetic acid. Pink solution is produced when phenolphthalein and sodium hydroxide combine.
Calculation:
The balanced equation:
CH₃COOH + NaOH ⇒ CH₃COONa + H₂O
Given:
Quantity of NaOH = 0.1067 M
Volume of NaOH = 30.07 ml
= 30.07 / 1000
= 0.03007 L
For weak acid and strong base titration = Moles of acetic acid = moles of NaOH
Moles of NaOH = concentration X volume
0.1067 X 0.03007 = 0.0032
Thus, moles of acetic acid = 0.0032mole,
By employing the formula,
Concentration = Moles/Volume
= 0.0032/0.025
= 0.128M
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An object is at a position of 15 cm from a diverging lens with a virtual focal point of 8 cm. The location of the image is
Answer: The location of the image is -5.2cm
Asymmetric dimethylarginine, endocan, pentraxin 3, serum amyloid A, soluble urokinase plasminogen activator receptor, total oxidant status and total antioxidant status, galectin-3
relationship between these inflammatory markers and infection.
What is Inflammatory markers ?Recognised inflammatory biomarkers play important roles in the management of patients with for example, diagnosis, follow-up, assessment of treatment response and risk stratification
Asymmetric dimethylarginine, endocan, pentraxin 3, serum amyloid A, soluble urokinase plasminogen activator receptor, total oxidant status and total antioxidant status, galectin-3 were considered among the emerging inflammatory markersWell-known inflammatory markers included complete blood count, C-reactive protein, albumin, cytokines and erythrocyte sedimentation rate.Learn more about Inflammatory markers here:
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A mass m is attached to an ideal massless spring. When this system is set in motion, it has a period t. What is the period if the mass is doubled to 2m?.
If a mass m is attached to an ideal massless spring and has a period of t, then the period of the system when the mass is 2m is [tex]\sqrt{2}t[/tex].
Calculation:
Step-1:
It is given that a mass m is attached to an ideal massless spring and the period of the system is t. It is required to find the period when the mass is doubled.
The time it takes an object to complete one oscillation and return to its initial position is measured in terms of a period, or T.
It is known that the period is calculated as,
[tex]T=2 \pi \sqrt{\frac{m}{k}}[/tex]
Here m is the mass of the object, and k is the spring constant.
Step-2:
Thus the period of the system with the first mass is,
[tex]t=2 \pi \sqrt{\frac{m}{k}}[/tex]
The period of the system with the second mass is,
[tex]\begin{aligned}\\t^'&=2 \pi \sqrt{\frac{m}{k}}\\&=\sqrt{2}\times2 \pi \sqrt{\frac{2m}{k}}\\&=\sqrt{2}\times t\end{aligned}[/tex]
Then the period of the system with the second mass is [tex]\sqrt{2}[/tex] times more than the period of the system with the first mass.
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