Final answer:
To convert the energy usage of a refrigerator from kWh to J, kJ, and Cal, we multiply by appropriate conversion factors. The refrigerator uses 2.556 × 10^9 J, 2.556 × 10^6 kJ, and approximately 610,868 Cal per year. At an electricity cost of $0.15 per kWh, it costs $106.50 per year to run.
Explanation:
To answer the question on how to convert the annual energy usage of a frost-free refrigerator from kilowatt-hours (kWh) to Joules (J), kilojoules (kJ), and Calories (Cal), we can use the following conversion factors:
1 kWh = 3.6 × 10^6 J (Joules)
1 J = 0.001 kJ (kilojoules)
1 Cal = 4.184 kJ (the food Calorie, with a capital 'C', is equivalent to a kilocalorie)
Now, we will convert the 710 kWh/year:
To Joules: 710 kWh × 3.6 × 10^6 J/kWh = 2.556 × 10^9 J
To kilojoules: 2.556 × 10^9 J × 1 kJ/1000 J = 2.556 × 10^6 kJ
To Calories: Using the relationship between kJ and Cal: 2.556 × 10^6 kJ / (4.184 kJ/Cal) ≈ 610,868 Cal
The cost to run such a refrigerator at a typical electricity cost of $0.15 per kWh can be calculated as follows:
Annual Cost = 710 kWh/year × $0.15/kWh = $106.50/year
A container of gas is at a pressure of 1.3x10^5 Pa and a volume of 6 m^3. How much work is done by the gas if it expands at a constant pressure to twice its initial volume.
The work done by the gas is 7.8x10^5 J.
Explanation:To determine the work done by the gas as it expands at a constant pressure, we can use the formula:
Work = Pressure x Change in Volume
Given that the initial volume is 6 m^3 and the gas expands to twice its initial volume (12 m^3), the change in volume is 12 m^3 - 6 m^3 = 6 m^3. The given pressure is 1.3x10^5 Pa. Plugging these values into the formula:
Work = (1.3x10^5 Pa) x (6 m^3) = 7.8x10^5 J
A football is kicked into the air from an initial height of 4 feet. The height, in feet, of the football above the ground is given by s (t)=-16^2+50t+4, where t is time, in seconds, and t>=0. At what time will the football be 25 feet above the ground?
3.625 seconds
3.20 seconds
0.5 seconds or 3.625 seconds
0.5 seconds or 2.625 seconds
Answer: 0.5 seconds or 2.625 seconds
Explanation:
At t = 0, The ball is 4 ft above the ground.
The height of the football varies with time in the following way:
s(t) = -16 t² + 50 t + 4
we need to find the time in which the height would of the football would be 25 ft:
⇒25 = -16 t² + 50 t + 4
we need to solve the quadratic equation:
⇒ 16 t² - 50 t + 21 = 0
[tex]t = \frac{50 \pm \sqrt{50^2-4\times 16\times 21}}{2\times16}[/tex]
⇒ t = 0.5 s or 2.625 s
Therefore, at t = 0.5 s or 2.625 s, the football would be 25 ft above the ground.
what social science involves studying legal policies?
political science
history
economics
law
Answer: law
Explanation:
Social science can be define as the scientific study of human society and their relationship among themselves.
A law can be define as rules which is enforced over the society to regulate it's functioning, restricting the ill-legitimate activities like crime, and safeguarding the rights of the human beings, and animals.
On the basis of the above description, the law is the social science which involves the studying of the legal policies.
what will be the acceleration due to gravity at up planet whose mass is 8 times the mass of the earth and whose radius is twice that of the earth? g=10
This part of the electromagnetic spectrum can be used to generate power.
a. gamma rays
b. radio waves
c. microwaves
d. infrared rays
Answer
a. gamma rays
Explanation
Gamma rays are the electromagnetic waves with the highest frequency. They are the waves with the smallest wavelength.
Due to their high frequency they can produce more energy. They are the most energetic waves or the most powerful.
Help! Elastic Collision.
Two objects, one initially at rest, undergo a one-dimensional elastic collision. If half the kinetic energy of the initially moving object is transferred to the other object, what is the ratio of their masses? ...?
In the case of a one-dimensional elastic collision where half the kinetic energy is transferred from one object to another initially at rest, the mass ratio between the moving and stationary objects is 3:1, derived from principles of kinetic energy and momentum conservation.
Explanation:The question relates to finding the mass ratio of two objects in a one-dimensional elastic collision where half of the kinetic energy of the moving object is transferred to the initially stationary object. To arrive at the solution, we need to consider the principles of conservation of momentum and conservation of kinetic energy.
For elastic collisions, the total kinetic energy before collision is equal to the total kinetic energy after collision. If half of the kinetic energy of object 1 is transferred to object 2, and given that kinetic energy is proportional to the mass of the object and the square of its velocity (KE = 1/2 mv2), we can deduce that the kinetic energy ratio post-collision influences the mass ratio.
Here, the conservation of kinetic energy and the given condition imply a specific relationship between the masses, leading us to the conclusion that for half the kinetic energy to be transferred, the mass of the moving object must be three times that of the stationary object, yielding a mass ratio of 3:1. This result is derived from manipulating the formulas for kinetic energy and conservation of momentum to reflect the energy transfer condition.
What is the mass of an object with a density of 13.5 g/cm3 and a volume of 5cm3?
What is depth perception?
Explanation:
Depth perception is the ability that humans have to perceive depth. With depth perception animals are able to see something in three dimensions. The configuration of the eyes allows animals to see depth.
Having two eyes that is having binocular vision gives animals an accurate sense of depth. Animals have evolved in such a way that gives us depth perception. In order for animals to survive in a three dimensional world depth perception is vital.
a particle moving along the x axis has the position x(t) at time t with the velocity of the particle given by v(t)=5sin(t^2). At time t=6, the particles position is (4,0). Find the position of the particle when t=7...
please and thank you :) ...?
Final answer:
To find the position of the particle when t=7, integrate the velocity function to obtain the position function. Substitute a given position value to determine the constant of integration. Finally, plug in t=7 into the position function and evaluate to find the position of the particle.
Explanation:
To find the position of the particle when t=7, we need to integrate the velocity function from t=6 to t=7. The velocity function v(t) = 5sin(t^2) represents the rate of change of position with respect to time. Integrating this function gives us the position function x(t) = -5cos(t^2) + C, where C is a constant of integration.
We can find the value of C by substituting the given position x(6) = 4.0 into the position function. Plugging in t=6 and x=4.0, we get 4.0 = -5cos(6^2) + C. Solving for C, we find C = 4.0 + 5cos(6^2).
Now we can find the position of the particle when t=7 by plugging in t=7 into the position function x(t) = -5cos(t^2) + C, where C is the value we obtained earlier. Evaluating the expression, we find x(7) = -5cos(7^2) + (4.0 + 5cos(6^2)). Therefore, the position of the particle when t=7 is approximately (0.609, 0).
Final answer:
The position of the particle at t=7 can be determined by integrating the given velocity function v(t) = 5sin(t^2) from t=6 to t=7 and adding the result to the known position at t=6. The integral does not have an elementary antiderivative, so numerical methods are needed for evaluation.
Explanation:
The position of the particle, while it moves along the x-axis, can be found by integrating the velocity function. Since the velocity is given by v(t) = 5sin([tex]t^2[/tex]), we will integrate this with respect to time to find the position function x(t). Given that the particle's position at time t=6 is (4,0), we can use this information to find the constant of integration after integrating the velocity function.
To find the position x(t) at any time t after t=6, we would calculate the integral of the velocity function from 6 to t, and add this to the initial position at t=6:
∫6t 5sin(τ2)dτ + 4
To find the position at t=7, we would evaluate this integral from 6 to 7, which requires a numerical method since the integral of sin(t2) is not an elementary function. Once the integral is evaluated, this value is added to 4 (the position at t=6) to determine the final position of the particle at t=7.
how are the second law of thermodynamics and pollution related
Answer:
Explanation:
Thermodynamics is the study of heat and energy and the second law of thermodynamics describes the limit of and capabilities of the universe.
As per law " the total entropy of an isolated system can never increase in time".
This law flashes light on degeneration, inefficiency and decay. It describes the phenomena of what we produce waste and is irreversible process in the universe and thus is our desolate fate.
It describes that once waste has been created, it cannot disappear. It will be in existence. This creates pollution.
Hence in this way the second law of thermodynamics and pollution is related.
If we want to describe work, we must have
an action which causes no movement or reaction.
a force and a movement in the opposite direction of the force.
a force and a movement in the same direction as the force.
an action which causes movement and an opposite reaction.
Answer:
The answer is C. A force and a movement in the same direction as the force.
Explanation:
Work is one of the forms of energy transmission between bodies where work is the product of a force applied to a body and the displacement of the body in the direction of this force, that is, Work is the product of the distance traveled by a body by the value of the force applied at that distance. When work is done on the body, there is a transfer of energy to it.
The height of a sinusoidal wave is called its
a. phase.
b. amplitude.
c. period.
d. frequency.
Answer:
The height of a sinusoidal wave is called its amplitude.
Explanation:
The height of a sinusoidal wave is called its amplitude. It is also defined as the maximum displacement of the particles of the waves. It the distance between the rest position to the crest or the rest position to the trough of the wave. The amplitude of a wave measures its intensity.
The intensity of a wave is directly proportional to the square of its amplitude.
So, the height of a sinusoidal wave is called wave's amplitude. So, the correct option is (b) "amplitude".
four identical charges (q = +3µC) are arranged in a form of a rectangle. what is are the magnitude and direction of the net electric force on the charge in the lower right corner attributable to the other three charges? distances are in meters. ...?
The net electric force on the charge in the lower right corner can be calculated using Coulomb's law. The magnitudes of the forces exerted by the other charges can be determined by considering the charges and distances involved. The direction of the net force can be determined by adding the individual forces vectorially.
Explanation:The net electric force on the charge in the lower right corner can be calculated by summing the individual forces exerted by the other three charges. Since all four charges are identical and arranged in a rectangle, the magnitudes of the forces will be the same. The magnitudes of the forces can be determined using Coulomb's law, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula for Coulomb's law is:
F = k * (q1 * q2) / r^2
where F is the force, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges, and r is the distance between the charges. The direction of the force is determined by the charges involved. Charges with the same sign repel each other, while charges with different signs attract each other.
To calculate the magnitude and direction of the net electric force on the charge in the lower right corner, you can calculate the forces exerted by each of the other three charges individually and then add them vectorially. Since the four charges are arranged in a rectangle, the forces exerted by the top-left and top-right charges will point downwards and towards the left, while the force exerted by the bottom-left charge will point upwards and towards the right. By adding these forces vectorially, you can determine the net force.
Let me know if you need help with any specific calculations.
What happens when the temperature of an object increases?
A.
The particles move closer together.
B.
The particles move faster.
C.
The number of particles increases.
D.
The particles stop moving.
What is a wave that has all the crests and troughs in the same place at the same time?
coherent wave
wavelength
fiber optic wave
hologram
A coherent wave is one where all crests and troughs align in the same place at the same time, demonstrating a constant phase relationship. Coherent waves, such as the light from lasers, are essential for interference phenomena utilized in devices like interferometers.
A wave where all the crests and troughs align at the same place and at the same time is known as a coherent wave. These waves maintain a constant phase relationship relative to each other. When discussing waves in this context, a wavelength is the distance between two consecutive crests or troughs of a wave. Coherent waves are important in many applications, such as in interferometers, which rely on wave interference phenomena to make precise measurements.
By definition, coherent waves are temporally coherent, meaning that their wave crests are part of the same continuous wave or 'wave train.' Coherence is essential for creating the interference patterns that are characteristic of a wide range of optical phenomena. For instance, lasers produce a beam of monochromatic light that is both temporally and spatially coherent, allowing for a range of applications from medical surgery to telecommunications.
a stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. determine the depth of the well. ...?
Some simple Machines decrease mechanical advantage and are used to_______.
1.) decrease work
2.) divide distance to decrease speed
3.) multiply distance to decrease speed
4.) increase work
3.) multiply distance to increase speed
Some simple Machines decrease mechanical advantage and are used to multiply distance to decrease speed , therefore the correct answer is option 3.
What is the mechanical advantage?Mechanical advantage is defined as a measure of the ratio of output force to input force in a system, It is used to analyze the forces in simple machines like levers and pulleys.
Mechanical advantage = output force(load) /input force (effort)
Thus, Some simple Machines decrease mechanical advantage and are used to multiply distance to decrease speed, therefore the correct answer is option 3.
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The process that occurs when physical forces break rock into smaller pieces without changing the rock's chemical composition is called ____.
The pull of the moon on Earth's tidal bulge is causing
Which statement is not true about electrons? Electrons have a negative charge. The orbit of electrons around the nucleus is like a cloud. The path an electron moves on is not very straight. The basic unit of matter is the electron.
Answer:
The basic unit of matter is the electron.
Explanation:
Electrons have a negative charge.
Above statement is true because electron is a negatively charged particle and its charge is given as e = [tex]-1.6 \times 10^{-19} C[/tex].
The orbit of electrons around the nucleus is like a cloud.
Above statement is true as electron forms a cloud around the nucleus and that cloud is known as orbit of electron.
The path an electron moves on is not very straight.
Above statement is true as Electron moves around the nucleus in closed loop and in this path centripetal force is given by electrostatic attraction force
The basic unit of matter is the electron.
Above statement is not correct as we know that basic unit of matter is not electron but it consist of electron, neutron and proton
The light bulbs in an office building give off tremendous amounts of heat. Since heat is a form of energy, this heat could be trapped and used to offset our need for electricity, thus saving energy and money. True False
Answer:
False
Explanation:
The office area where night bulbs are used is very large and the light bulbs used do not produce this much amount of energy which can be trapped and used to offset our need for electricity.
This energy generated from these bulb is only a waste as it cannot be converted into reusable form. It can only be dissipated as heat.
W
Which statement best describes how the period and frequency of electromagnetic waves change between gamma rays and microwaves?
A) The period and the frequency stay the same.
B) The period increases and the frequency decreases.
C) The period decreases and the frequency increases.
D) The period increases and the frequency increases.
Answer:
B) The period increases and the frequency decreases.
Explanation:
Gamma rays are high energy rays which means these rays have high frequency. Microwaves have low energy and low frequency. For electromagnetic wave change between gamma rays to microwaves, the frequency decreases and period increases.
[tex]T= \frac{1}{f}[/tex]
Thus, option B is correct.
How is position, time, and motion related?
Heat moves through liquid and circulates due to density A. radiation B. conduction C. Convection D. water cycle A.radiation When the electromagnetic radiation in a region of space is at equilibrium with its surroundings, it can be described by the Planck radiation formula. [ The total energy radiated from an area in this region of space is given by the Stefan-Boltzmann law and the energy density associated with the radiation can be related to that law. In the development of the expression for the
I believe the correct answer would be c
Heat transfer through the movement of fluid due to temperature-induced changes in density is known as convection.
Heat transfer by circulation of a fluid is known as convection. This process takes place when fluid, such as air or water, is heated and then moves due to changes in density. Hotter, less dense fluid rises, while cooler, denser fluid sinks, creating a circulation that effectively transfers heat within the fluid. For instance, when heating a pot of water, the heat is conducted to the water at the bottom of the pot. This heated water then expands, making it less dense than the surrounding cooler water, causing it to rise. As it rises, cooler water then moves down to replace it, and this cyclical process continues, resulting in the transport of heat throughout the pot by convection.
A bird flies from the South Pole to the North Pole. Part of the journey is 1000 miles that takes 2 weeks. What is the bird’s velocity in that time?
When baking soda and vineager react, the surface bubbles. what does this most likely indicate?
Answer:
Chemical
Explanation:
its bubbling
How does physical change affect the identity of a substance
Physical changes involve alterations that do not change the identity of a substance. They are primarily visible and include changes in shape, size, color, or state. Despite these changes, the substance's core identity and chemical properties remain unaltered.
Explanation:In chemistry, a physical change involves alterations that are primarily visible and do not change the inherent properties or identity of a substance. Examples of physical changes can include changes in shape, size, color, or state of matter (like water freezing or boiling).
When a substance undergoes a physical change, it does not change into a new substance. The identity of the substance remains the same before and after the change. For instance, when an ice cube (solid water) melts, it becomes liquid water. Despite this change in state, it is still fundamentally water and has the same chemical properties.
Therefore, physical changes affect a substance in a visual or tangible way, but they do not alter the core identity of a substance.
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If a molecule has an unequal distribution of charge in its internal structure, it is said to be _____.
A: saturated
B: unsaturated
C: polar
D: nonpolar
what connects neurons and what chemicals help neurons communicate
Answer:
synapses
The chemical that helps them to communicate is neurotransmitters
Explanation: synapses have a receiving end and a sending end that helps them receive signal transmitted through the neurotransmitters
A 1.4 kg block slides across a rough surface such that it slows down with an acceleration of 1.25 m/s(squared). What is the coefficient of kinetic friction between the block and the surface?
Help please. Show steps. ...?
The coefficient of kinetic friction for the block k slides across a rough surface is 0.128.
What is Newtons second law of motion?Newtons second law of motion shows the relation between the force mass and acceleration of a body.
It says, that the force applied on the body is equal to the product of mass of the body and the acceleration of it.
It can be given as,
[tex]F=ma[/tex]
Here, (m) is the mass of the body and (a) is the acceleration.
Step 1) Find the friction force-As the mass of the block is 1.4 kg and the acceleration of it is 1.25 m/s (squared). Therefore the friction force can be given as using the above formula as,
[tex]F_f=1.4\times1.25\\F_f=1.75\rm N[/tex]
Step 2) Find the normal force-The normal force acting on it due to gravity force is,
[tex]F_n=1.4\times9.8\\F_n=13.72\rm N[/tex].
Step 3) Find the coefficient of kinetic friction[tex](\mu)[/tex]-Now the friction force acting on a moving body is equal to the product of normal force acting on it and the coefficient of kinetic friction.
Thus, the coefficient of kinetic friction[tex](\mu)[/tex] can be given as,
[tex]F_f=F_N\times\mu\\1.75=13.72\times \mu\\\mu=0.128[/tex]
Hence, the coefficient of kinetic friction for the block k slides across a rough surface is 0.128.
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