If the same force is applied to an object with a small mass, it will experience a greater acceleration due to less inertia and the ease with which it can be accelerated. In contrast, an object with a larger mass will require more force to achieve the same acceleration.
According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. Mathematically, we can express this relationship as:
acceleration = force / mass
Therefore, if the same force is applied to an object with a small mass, it will experience a greater acceleration compared to an object with a larger mass. This is because the smaller mass results in less inertia, meaning it requires less force to cause a given acceleration. In other words, a smaller mass will accelerate more easily when the same force is applied to it. For example, if you apply the same force to a baseball and a bowling ball, the baseball will accelerate much more quickly because it has a smaller mass than the bowling ball. Conversely, if you apply the same force to a truck and a car, the car will accelerate more quickly because it has a smaller mass than the truck.
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A dog jumps off the 10 m stairs down onto his doggy house which is 4 m high.
What is the change in gravitational potential energy of this 3 kg dog?
The change in gravitational potential energy of the dog is -176.58 J.
How to find the gravitational potential energy of the dogThe change in gravitational potential energy of an object is given by:
ΔPE = mgh
where
ΔPE is the change in gravitational potential energy
m is the mass of the object
g is the acceleration due to gravity, and
h is the change in height.
In this case, the dog jumps off a 10 m staircase down to his doggy house which is 4 m high. So the change in height,
h = -6 m (negative because the dog is moving downwards).
g = 9.81 m/s^2
m = 3 kg.
Substituting these values into the equation above, we get:
ΔPE = mgh
ΔPE = (3 kg)(9.81 m/s^2)(-6 m)
ΔPE = -176.58 J
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The force of gravity between two masses was 14 N when they were 10. m apart. The distance between them was changed and the force became 56 N. How far apart were they then?
You have a ball with mass 2.5 kg tied to a rope, and you spin it in a circle of radius
1.2 m. You know that the rope can withstand a tension of 130 N before it breaks.
How fast can you safely spin the ball without the rope breaking?
Answer:
Approximately [tex]7.2\; {\rm m\cdot s^{-1}}[/tex] (rounded up), assuming that this circle is vertical and [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].
Explanation:
Let [tex]v[/tex] denote the tangential speed of the ball, and let [tex]r[/tex] denote the radius of the circle. Since the ball is in a circular motion, the acceleration on this ball would be equal to the centripetal acceleration [tex]a = (v^{2} / r)[/tex]. The net force on this ball would be [tex]F_{\text{net}} = m\, a = (m\, v^{2} / r)[/tex].
The net force on this ball is also the vector sum of the tension [tex]T[/tex] in the rope and the weight of the ball [tex]m\, g[/tex]:
[tex]F_{\text{net}} = (\text{weight}) + T[/tex].
[tex]T = F_{\text{net}} - (\text{weight})[/tex].
Note that:
[tex]\| T \| = \|F_{\text{net}} - (\text{weight})\| \le \|F_{\text{net}} \| + \| (\text{weight})\|[/tex].
In other words, the magnitude of tension [tex]T[/tex] is at most equal to [tex]\|F_{\text{net}} \| + \| (\text{weight})\| = (m\, v^{2} / r) + (m\, g)[/tex], which happens when weight and net force are in opposite directions.
When the speed of the ball is maximized, the magnitude of tension [tex]T[/tex] would be at the largest possible value of [tex]130\; {\rm N}[/tex]. Rearrange the equation and solve for speed [tex]v[/tex]:
[tex]\displaystyle \frac{m\, v^{2}}{r} + m\, g = \|T\|[/tex].
[tex]\begin{aligned}v^{2} = \frac{r}{m}\, (\|T \| - m\, g) = \frac{r\, \|T\|}{m} - r\, g\end{aligned}[/tex].
[tex]\begin{aligned}v &= \sqrt{\frac{r\, \|T\|}{m} - r\, g} \\ &= \sqrt{\frac{(1.2)\, (130)}{2.5} - (1.2)\, (9.81)}\; {\rm m\cdot s^{-1}} \\ &\approx 7.2\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
How does the creation of a new mountain range in an ecosystem affect an animal population that becomes divided into two groups by the mountains?
A.
The two new animal populations adapt gradually and separately to their new environments on either side of the mountain.
B.
The two new animal populations are not greatly affected by the separation, and they adapt in the same manner.
C.
The new animal populations gradually migrate up either side of the mountain until they are together again.
D.
The new animal population on one side of the mountain is driven to extinction.
A. The two new animal populations adapt gradually and separately to their new environments on either side of the mountain. This options explains how does the creation of a new mountain range in an ecosystem affect an animal population.
Explain the role of mountain range in an ecosystem?
When a new mountain range is created, it can act as a barrier that separates animal populations on either side. Over time, the two populations will adapt to their new environments, which may be different due to differences in climate, vegetation, or other factors.
As a result, the two populations may evolve independently of each other, leading to differences in behavior, appearance, and genetic makeup. This process is known as allopatric speciation. It is important to note that while the two populations may become distinct, they may still be able to interbreed if they come into contact again in the future.
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To help lift a television a mover exerts a force of 50 N on a wedge. The wedge applies a
force 480 N to the televsion. What is the mechanical advantage in using this machine?
O 10
O 0.10
O 24,000
O 1.0
10 is the appropriate number. Here, a machine's mechanical advantage. Hence, choice (a) is the appropriate response. Three mechanical advantages exist: force, distance, and speed.
Although though force mechanical advantage is the sole topic covered in the majority of scientific publications, it is nevertheless crucial.
using the mechanical advantage formula.
[tex]MA= \frac{Fo}{Fi}[/tex]
alternative ≠ 480[tex]N[/tex] and [tex]Fi = 50n,[/tex]
[tex]MA = \frac{480n}{50n}[/tex]
simplify [tex]MA[/tex] ≈ 10
The load to effort ratio is used to quantify mechanical advantage of a machine. A machine's mechanical advantage determines its efficiency. Mechanical Advantage is equal to Load / Effort, or F 0 F I which means that is the mechanical energy, is the production force, and corresponds to the input force.
An object having mass changes its velocity in response to a push or pull. Force is an exterior agent that has the power to alter the rest or motion of something like a body. It has magnitude and direction.
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1. A child rides a bicycle in a circular path with a radius of 3.2 m. The tangential speed of the
bicycle is 2.7 m/s. The combined mass of the bicycle and the child is 54 kg.
What is the magnitude of the bicycle's centripetal acceleration? What is the magnitude of the
centripetal force on the bicycle?
The magnitude of the bicycle's centripetal acceleration can be calculated using the formula:
a = v^2 / r
where v is the tangential speed and r is the radius of the circular path. Plugging in the given values, we get:
a = (2.7 m/s)^2 / 3.2 m
a = 2.27 m/s^2
The magnitude of the centripetal force on the bicycle can be calculated using the formula:
F = m * a
where m is the combined mass of the bicycle and the child. Plugging in the given values, we get:
F = 54 kg * 2.27 m/s^2
F = 122.58 N
Therefore, the magnitude of the bicycle's centripetal acceleration is 2.27 m/s^2, and the magnitude of the centripetal force on the bicycle is 122.58 N.
Answer:
[tex]\huge\boxed{\sf F_c=123.02 \ N}[/tex]
[tex]\huge\boxed{\sf a_c=2.28 \ m/s^2}[/tex]
Explanation:
Given data:Mass = m = 54 kg
Tangential speed = v = 2.7 m/s
Radius = r = 3.2 m
Required:Centripetal force = [tex]F_c[/tex] = ?
Centripetal acceleration = [tex]a_c[/tex] = ?
Formula:[tex]\displaystyle F_c=\frac{mv^2}{r}[/tex]
[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]
Centripetal acceleration:Put the given data in the above formula.
[tex]\displaystyle a_c=\frac{(2.7)^2}{3.2} \\\\a_c=\frac{7.29}{3.2} \\\\a_c=2.28 \ m/s^2\\\\[/tex]
Centripetal force:Put the given data in the above formula.
[tex]\displaystyle F_c=\frac{(54)(2.7)^2}{3.2} \\\\F_c=\frac{(54)(7.29)}{3.2} \\\\F_c=\frac{393.66}{3.2} \\\\F_c=123.02 \ N\\\\\rule[225]{225}{2}[/tex]
A particle executes simple harmonic motion with an amplitude of 3. 08 cm. At what positive displacement from the midpoint of its motion does its speed equal one half of its maximum speed? Answer in units of cm
The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is 1.85 cm.
v = Aω√(1 - (x/A)^2)
v_max = Aω
v = 1/2 v_max = 1/2 Aω
Substituting the given values, we get:
1/2 Aω = 3.08 cm * ω * √(1 - (x/A)^2)
Simplifying and squaring both sides, we get:
(1/4) A^2 ω^2 = 9.4864 cm^2 * (1 - (x/A)^2)
Solving for x/A, we get:
x/A = √(1 - (1/4)(ω^2/A^2) * 9.4864)
x/A = √(1 - (π^2/400))
x/A = 0.6
The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is:
x = 0.6 * 3.08 cm = 1.85 cm
Harmonic motion is a type of periodic motion in which an object oscillates back and forth around an equilibrium position with a constant frequency and amplitude. It is characterized by a sinusoidal pattern, where the displacement of the object from its equilibrium position is directly proportional to the sine or cosine of the time elapsed since the motion began.
In harmonic motion, the restoring force acting on the object is proportional to its displacement from the equilibrium position, and the object's motion is governed by Hooke's Law. Examples of harmonic motion include the motion of a mass-spring system, the motion of a simple pendulum, and the vibration of a guitar string.
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I need help this is going to be graded tomorrow please help
The average age of jumpers is approximately 28.
What is meant by average value ?It is the ratio of sum of all the values to the number of values.
Here,
(1) Difference in age between the oldest and youngest jumpers
= 56 - 11 = 45
(2) Difference between greatest and least number of jumps
= 60 - 20 = 40
(3) For Bob, Boe and Brad, A(age of jumper) > N( no. of jumps)
(4) No, the eldest two jumpers together did more jumps than the youngest two jumpers.
(5) 45 - 31 = 16
(6) 31 - 25 = 6
(7) x - y = 19
From the figure, values of x and y are 50 and 31. So x and y are Brett and Bev.
(8) 3y = x
From the figure, the values of x and y are 20 and 60. So x and y are Brad and Benjy.
(9) b = 2a + 6
From the figure, the values of a and b are 25 and 56. So and b are Brad and Bob.
(10) Average approximately = 28
Hence,
The average age of jumpers is approximately 28.
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How can a hockey puck explain the transfer of kinetic energy? **Select all that apply.**
A. Kinetic energy can move from one item to another.
B. Kinetic energy transfers through air when materials are close.
C.Kinetic energy is lost when it transfers between materials.
D. Energy transfers from materials through touch.
A hockey puck can transfer kinetic energy by
A. Kinetic energy can move from one item to another.D. Energy transfers from materials through touch.How a hockey puck can transfer kinetic energyWhen a hockey player hits the puck with their stick, they transfer kinetic energy to the puck.
The puck then moves across the ice, and if it collides with another object (such as the boards or another player's stick), some of the kinetic energy from the puck is transferred to that object through touch.
This demonstrates that kinetic energy can move from one item to another and that energy transfers from materials through touch.
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Two bar magnets are held in place in the configuration shown. If the magnets are pulled apart, which statement correctly describes the changes that will take place in the energy of the system?
Potential energy decreases because movement is in the opposite direction of the magnetic field. This is because when magnets are pulled apart, the magnetic field between them is weakened, thus decreasing the potential energy of the system.
What is magnetic field?A magnetic field is a force field that is created by an electric charge or current. It is a vector field, meaning it has both magnitude and direction. Magnetic fields are generated by electric currents such as those used in electromagnets, and by magnetic materials such as iron. The Earth also generates a magnetic field. Magnetic fields have many uses, including navigation, electric motors, and magnetic storage devices. They are also useful in medical diagnostics and treatments. In addition, they can be used to study the composition of stars and galaxies.
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What is the electric potential at the point indicated with the dot in the figure?
Express your answer to two significant figures and include the appropriate units
The electric potential at a point in space depends on the distance between that point and any charged objects in the vicinity.
If we assume that the point indicated by the dot in the figure is located at a distance r from a charged object with charge q, then the electric potential at that point can be calculated using the formula: V = k * q / r, where k is Coulomb's constant (8.99 x 10^9 N m²/C²). The units of electric potential are volts (V). To express the answer to two significant figures, we would need to know the values of q, r, and any other relevant parameters in the problem.
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A skydiver fell directly toward Earth at a constant velocity for 15.0 seconds. He fell 807 meters in that time. What was his velocity?
The velocity of the skydiver that fell directly toward Earth at a constant velocity for 15.0 seconds is 127.38m/s.
How to calculate velocity?The velocity of a skydiver that fell directly towards Earth can be calculated using one of the following equations of motion:
s = ut - ½at²
Where;
s = distanceu = velocityt = timea = accelerationAccording to this question, a skydiver fell directly toward Earth at a constant velocity for 15.0 seconds.
807 = 15u - ½ × 9.81 × 15²
807 + 1103.625 = 15u
1910.625 = 15u
u = 127.38m/s
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If air resistance is negligible, a falling object can be considered
Answer:
Explanation:
freely falling object
Can i get help please
I believe its A. Tuberculosis
PLEEEEEEASE answer as fast as possible, I will give Brainliest to fastest answer.
A sound wave is traveling through a medium. Which statement best describes a situation that will cause the wave speed to increase?
A. Increase the pressure of the substance and the particles will be farther apart.
B. Increase the volume of the medium and there will be more particles to transfer the wave.
C. Increase the size of the particles and they will have more momentum to carry the wave.
D. Increase the density of the substance and there will be more particles to transfer the wave.
Answer: D. Increase the density of the substance and there will be more particles to transfer the wave.
Answer:
D. INCREASE THE DENSITY OF THE SUBSTANCE AND THERE WILL BE MORE PARTICLES TO TRANSFER THE WAVE .
Explanation:
BECAUSE WAVES ARE TRANSFERED
a sound wave strikes a wall normally what is the angle of reflection of sound wave
a 90°
b 60°
c 45°
d 0°
Answer:
C
Explanation:
Assignment The U. S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks (U. S. Department of Energy website, February 22, 2008). A portion of the data for 311 compact, midsize, and large cars follows. The column labeled Class identifies the size of the car: Compact, Midsize, or Large. The column labeled Displacement shows the engine's displacement in liters. The column labeled Fuel Type shows whether the car uses premium (P) or regular (R) fuel, and the column labeled HwyMPG shows the fuel efficiency rating for highway driving in terms of miles per gallon. The complete data set is contained in the DATAfile named FuelData. Click on the datafile logo to reference the data. DATA file (a) Develop an estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement. Let x represent the engine's displacement. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) 34. 669 2. 683 Is there a relationship between Hwy MPG and displacement at the 0. 05 level of significance? Yes How much of the variation in the sample values of Hwy MPG is is explained by this estimated regression equation? If required, round your answer to one decimal places. 53 % JUNI (c) Consider the addition of the dummy variables ClassMidsize and ClassLarge to the simple linear regression model in part (a). The value of ClassMidsize is 1 if the car is a midsize car and 0 otherwise; the value of ClassLarge is 1 if the car is a large car and o otherwise. Thus, for a compact car, the value of Class Midsize and the value of ClassLarge are both 0. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement and the dummy variables ClassMidsize and ClassLarge. Let X1 represent engine's displacement. Let x2 represent variable Class Midsize. Let X3 represent variable ClassLarge. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) 27. 9 + 1. 38 X1 + 4. 73 X2+ 2. 14 X3 How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? If required, round your answer to one decimal places. 72. 4 % Eignment (e) Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the car uses premium fuel and o if the car uses regular fuel. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement, the dummy variables Class Midsize and ClassLarge, and the dummy variable FuelPremium. Let x1 represents engine's displacement. Let X2 represents variable ClassMidsize. Let X3 represents variable ClassLarge. Let X4 represents variable FuelPremium. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) X 28. 7 1. 36 4. 21 X2 + 1. 98 X3 + + X1 + 1. 16 X4 How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? If required, round your answer to one decimal places. 74. 1 % ch of the indenendent
The Guide provides estimated fuel economy (in miles per gallon, or MPG) and annual fuel costs (based on national averages of fuel costs and miles driven) for most model year 2022 vehicles for sale in the United States.
How do you check the fuel efficiency of a car?The simplest approach to determine your gas mileage is to divide the number of miles traveled by the number of gallons of petrol consumed by your car. In total, it is the number of miles travelled divided by the number of gallons of gas consumed.
Fuel economy is a rating that indicates how far a vehicle can go on a given quantity of gasoline. The higher the fuel efficiency, the less gasoline the vehicle consumes. The conventional metric of fuel efficiency in the United States is miles per gallon (mpg). This metric relates to how far a vehicle can go on a single gallon of fuel.
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name five example of derived qualities
Answer:
velocity, power, energy, force and density
Explanation:
Un objeto pequeño que tiene una carga dd -5x10^-9C experimenta una fuerza hacia debajo de 20x10^-9 N cuando se coloca en determinado punto un campo electrico ¿cual es el campo de dicho punto?
El signo negativo indica que el campo eléctrico apunta en la dirección opuesta a la fuerza experimentada por la carga. Por lo tanto, el campo eléctrico en ese punto es de -4 N/C.
F = qE
En este caso, la carga es de -5x10^-9 C y la fuerza es de 20x10^-9 N. Por lo tanto, podemos despejar el valor del campo eléctrico:
E = F/q = (20x10^-9 N) / (-5x10^-9 C) = -4 N/C
A charge is a fundamental property of matter that describes the amount of electric energy that a particle possesses. It is a scalar quantity, meaning it has only magnitude and no direction. The charge can be either positive or negative and is measured in Coulombs (C).
Charged particles can interact with each other through electromagnetic force, which is one of the four fundamental forces of nature. Like charges repel each other while opposite charges attract. Electric fields are generated by charged particles, and the force they exert on other charged particles is proportional to the magnitude of their charges.
A charge is conserved in isolated systems, meaning that the total amount of charge in a closed system cannot be created or destroyed, but can only be transferred from one object to another.
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what is 2x10^-3 as second
Answer: 0.002
Explanation:
Newton's ______ law of motion is also known as action/reaction.
A roller coaster car that has a mass of 200 kg is travelling at a rate of 10 m/s at a
height of 5 m above Earth's surface. How much total energy does the car contain at
this point?
The roller coaster car contains a total of 19810 joules of energy at this point.
How to calculate the total energy of the roller coaster car.First, we need to consider its kinetic energy and potential energy.
The potential energy of the car at a height of 5 m above Earth's surface is given by:
PE = m * g * h
Where
m is the mass of the carg is the acceleration due to gravity (9.81 m/s²)h is the heightSubstituting the given values, we get:
PE = (200 kg) * (9.81 m/s²) * (5 m)
PE = 9810 J
The kinetic energy of the car is given by:
KE = (1/2) * m * v²
Where v is the velocity of the car.
Substituting the given values, we get:
KE = (1/2) * (200 kg) * (10 m/s)²
KE = 10000 J
Therefore, the total energy of the roller coaster car at this point is:
Total Energy = KE + PE
Total Energy = 10000 J + 9810 J
Total Energy = 19810 J
Therefore, the roller coaster car contains a total of 19810 joules of energy at this point.
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Explain the relationship between the load on the spring and the length of the spring when the load is increased from 0 to 10N
(I really need an answer plsss)
Since Hooke's law implies linear, i anticipate that the length of a spring will double if the weight hanging on this is doubled. The graph below depicts a spring's ideal Hooke's law graph.
Simple definition of Hooke's law.At the range of the material's elastic limit, according to Hooke's law, the strain is inversely related to the applied stress. The molecules and atoms in elastic materials stretch when they are stretched, distort when under stress, and then return to their original shape once the tension is released.
What other names are given to Hooke's law?In the year 1660, an English british scientist Robert Hooke discovered Hooke's law, commonly known as that of the law of elasticity. According to Hooke's law, the magnitude of the deformation is precisely proportional to a deforming load or force.
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2
Which statement about the relationship between an organism's traits and its genes is true?
A.
An organism's genes are a direct result of its inherited traits.
B. Traits code for the proteins that determine an organism's genes.
C.
Genes code for proteins that determine an organism's traits.
D. Genes code for the DNA that determines an organism's traits.
TO be completely Honest with this, Based of reading the questions and answers it may be D. just off sheer legibility of logic alone, Hope this is not wrong.
1. How does collecting natural gas affect the environment?
2. How does collecting hydropower affect the environment?
Answer:
1.Collecting natural gas can have negative impacts on the environment in various ways. One of the major concerns is the process of hydraulic fracturing or fracking, which can contaminate groundwater and soil with chemicals and heavy metals used in the process. Methane emissions from natural gas operations can contribute to air pollution and climate change. Additionally, the construction and operation of infrastructure such as pipelines and wells can disrupt ecosystems, fragment habitats, and harm wildlife.
2.Collecting hydropower can also have both positive and negative impacts on the environment. On the positive side, hydropower generation does not emit greenhouse gases and can help reduce the use of fossil fuels. However, the construction of dams can significantly alter natural waterways, disrupt river ecosystems, and cause the displacement of people and wildlife. Dams can also interfere with fish migration patterns and reduce the availability of freshwater downstream, affecting agriculture and drinking water supplies. Additionally, the management of water levels and flows can lead to changes in water temperature, dissolved oxygen levels, and sediment transport, which can further impact aquatic habitats and species.
Explanation:
hope it help pa brainliest
if a 50 N block is resting on a steel table with a coefficient of static friction
If F = 37 N, the static frictional force between the block and the table and the minimum force required to move it must be equal.
How is the minimum force of static friction determined?It is the force that regulates itself. The value of static friction varies from zero to the smallest force required to initiate motion. The formula for determining static friction is as follows: Normal Force divided by the static friction coefficient is static friction.
Is weight equivalent to static friction?Although the maximum static friction will rise, the frictional force will always be the same as the weight in mg because friction cannot accelerate an object. Because FrN can take any value less than N to balance the weight, this is the case.
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Question 10 of 25
You replace a 200 W lamp with a more efficient 55 W LED lamp. If you leave
your lights on 24 hours a day, how much energy are you saving each day by
replacing this bulb?
A. 4,752,000 J
OB. 17,280,000 J
C. 12,528,000 J
O D. 21,225,000 J
SUBMIT
The energy used by the 200 W lamp for 24 hours is 17280000 J whereas, the energy used by the 55 W lamp for one day is 4752000. Therefore, by replacing the200 W lamp by 55 W, we save 12,528,000 J of energy.
What is power ?Power is the unit of energy or work done by an object. It measures how much energy used by the object per second to do a work. Hence, power is the work done or energy by time in seconds.
Given that power of one lamp = 200 W
time = 24 hour= 86400 s.
then energy = power × time
200 W × 86400 s = 17280000 J
Similarly the energy consumed by the 55 W lamp for 24 hours is:
86400 s × 55 W = 4752000J
Then, if replace the 200 W lamp by the 55 W LED lamp, we can save an energy of 17280000 J - 4752000 J = 12,528,000 J.
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Two identical beakers are both half filled with a liquid beaker a contains water and beaker b contains a liquid that is denser than water
The pressure at the bottom of both beakers is the same. The correct answer is D.
The pressure at the bottom of both beakers is the same. The pressure at the bottom of a fluid is determined by the weight of the fluid above it, which is the same for both beakers since they are equally filled with the same amount of liquid. The air pressure on the beakers does not affect the pressure inside the liquid.
The weight of both liquids cannot be the same, as the density of the liquid in beaker B is greater than that of water, so it will have a greater weight. The area at the bottom of the beakers may be the same or different, but it is not relevant to the pressure at the bottom. Therefore, the correct statement is D, that the pressure at the bottom of both beakers is the same.
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--The complete question is, Two identical beakers are both equally filled with a liquid. Beaker A contains water. Beaker B contains a liquid that is denser than water. Which statement is true?
A. The air pressure on the beaker containing dense liquid is greater.
B. The weight of both liquids is the same.
C. The area at the bottom of both beakers is the same.
D. The pressure at the bottom of both beakers is the same.--
As of the time our textbook went to press, 118 different elements had been discovered. All of the ones with atomic number over 92 have been made in physics laboratories. When element 119 (one that has not yet been identified) is found, provided it is like the other artificially made elements, it will:
A
have only protons, no neutrons at all
B
soon be used in industry to make new kinds of plastics
C
have one of the smallest nuclei known
D
only remain stable for an extremely small fraction of a second
E
eventually be found in the Sun (with very high quality spectrometers)
Answer:
Option D is the most likely answer: element 119 will only remain stable for an extremely small fraction of a second.
This is because all elements with atomic numbers greater than 92 (i.e., the actinides) are unstable and undergo radioactive decay, with their isotopes having extremely short half-lives. As element 119 would have an atomic number greater than 92, it is highly likely that it too would be unstable and undergo radioactive decay, making it difficult to observe and study.
Option A is not possible, as all elements require neutrons in their nuclei to have stable isotopes. Option B is unlikely, as the properties of element 119 are unknown and it would need to be studied extensively before any industrial applications could be developed. Option C is also unlikely, as elements with large atomic numbers tend to have larger nuclei. Option E is also unlikely, as it is not clear how element 119 could be produced in the Sun, given that it is a highly unstable element.
A sign with a mass of 1000.0 kg is suspended from a wall with a cable that is attached to the wall at a point 3.0 m above a horizontal beam that causes the sign to be a distance of 4.0 m from the wall. See the diagram below.
Two or more physical objects which are in contact with each other exert forces on each other. Here the tension of the cable is 16349.96 N.
What is tension?The force along the length of a medium especially a force carried by a flexible medium, such as a rope or cable is defined as the tension. The tension on an object is equal to the product of the mass of the object and the gravitational force added and acceleration.
T = mg + ma
Here W = mg
W = 1000.0 × 9.81 = 9810
using geometry,
tan α = 3/4
α = 36.87°
Tsinα = W
T sin36.87° = 9810
T = 16349.96 N
Thus the tension of the cable is 16349.96 N.
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