Answer:
multiply 65kg and 3m/s^2
to get 195kgm/s
or 195N
wait is that 3m/s or 3m/s^2?
A student moves a 1.50 kg book from a shelf 2.00 meters high to a shelf 1.20 meters high.
What is the approximate magnitude of the change in the gravitational potential energy of the
book?
Answer:
17.64 j
Explanation:
thats the answer.
Sarah drives her car with a constant speed of 88 km/h. How long will she take to travel 129.1 kilometres?
88km/h/129.1km is 0.68h
Explanation:
it will take 0.68h to travel 129.1km of distance
Help me please.......
don is 10 kilometers ahead of jane, and both are traveling forward. how long will it take jane to catch up with don if jane is traveling at 10 k.p.h and don at 6 k.p.h. ?
The time it takes Jane to catch up with Don if Jane is traveling at 10 k.p.h and don at 6 k.p.h is: 2.5 h
The formula and procedure we will use to solve this problem is:
Tr = x/(v2-v1)
Where:
x = separation distanceTr = reach time v2 = velocity of the faster mobilev1 = velocity of the slowest mobileInformation about the problem:
x = 10 kmv2 = 10 km/hv1 = 6 km/hTr=?Applying the reach time formula we get:
Tr = x/(v2-v1)
Tr = 10 km/(10 km/h- 6 km/h)
Tr = 10 km/(4 km/h)
Tr = 2.5 h
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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average method and it reports the tollowing unit data tor the rorming department. Units completed in the torming department are transferred to the painting department. Production cost information for the forming department follows. . Calculate the equivalent units of production for both direct materials and conversion for the Forming department. o. Calculate the costs per equivalent unit of production for both direct materials and conversion for the Forming department c. Using the weighted average method, assign costs to the forming department's output-specifically, its units transferred to painting and its endina work in brocess inventorv. Calculate the costs per equivalent unit of production for both direct materials and conversion for the For Jsing the weighted average method, assign costs to the forming department's output-specifically, its 4 d its ending work in process inventory. Complete this question by entering your answers in the tabs below. Calculate the equivalent units of production for both direct materials and conversion for the forming department. a. Calculate the equivalent units of production for both direct materials and conversion for the Forming departm b. Calculate the costs per equivalent unit of production for both direct materials and conversion for the Forming c. Using the weighted average method, assign costs to the forming department's output-specifically, its units tra and its ending work in process inventory. Complete this question by entering your answers in the tabs below. Calculate the costs per equivalent unit of production for both direct materials and conversion for the forming department Required information Using the weighted average method, assign costs to the forming department's output-specifically, its units trar painting and its ending work in process inventory.
Given information: The average method reports the following unit data for the forming department. Units completed in the forming department are transferred to the painting department. Production cost information for the forming department follows.
Direct materials:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Direct materials cost = $202,500
Conversion costs:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Conversion cost = $189,000
a. Calculation of equivalent units of production for both direct materials and conversion for the forming department:
Equivalent units of production = Units completed during the period + (Ending work in process inventory * Degree of completion)
Direct materials:
Equivalent units of production = 45,000 + (5,000 * 50%) = 47,500 units
Conversion costs:
Equivalent units of production = 45,000 + (5,000 * 60%) = 48,000 units
b. Calculation of the cost per equivalent unit of production for both direct materials and conversion for the forming department:
Cost per equivalent unit of production = Total cost for the period / Equivalent units of production
Direct materials:
Cost per equivalent unit of production = $202,500 / 47,500 units = $4.26 per unit
Conversion costs:
Cost per equivalent unit of production = $189,000 / 48,000 units = $3.94 per unit
c. Calculation of the cost assigned to the forming department's output using the weighted average method:
Total cost = Cost of units transferred out + Cost of ending work in process inventory
Cost of units transferred out = Number of units transferred out * Cost per equivalent unit of production
Cost of ending work in process inventory = Number of units in ending work in process inventory * Cost per equivalent unit of production
Direct materials:
Cost of units transferred out = 40,000 * $4.26 per unit = $170,400
Cost of ending work in process inventory = 5,000 * $4.26 per unit = $21,300
Total cost = $170,400 + $21,300 = $191,700
Conversion costs:
Cost of units transferred out = 40,000 * $3.94 per unit = $157,600
Cost of ending work in process inventory = 5,000 * $3.94 per unit = $19,700
Total cost = $157,600 + $19,700 = $177,300
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The diffusion of inanimate forms of energy was vital to the accelerated development of the modern world. The industry is completely dependent on the techniques of extracting energy from nature. The development of energy sources or the lack of them determined the fate of countries. Those that were able to develop and exploit them led the industrialization process, those that did not invest in the energy sector became technologically lagging countries.
Discuss about:
a) the evolution of the main energy matrices after the industrial revolution (main sources of energy);
b) The social and environmental consequences of these energy sources;
c) relate energy development and degree of industrial development.
The evolution of energy matrices, the social and environmental consequences of energy sources, and the relationship between energy development and industrial development are critical aspects of understanding the interplay between energy and the modern world. Balancing the need for energy with sustainability and minimizing environmental impacts is a key challenge for societies today.
a) The evolution of the main energy matrices after the industrial revolution:
The industrial revolution marked a significant shift in the sources of energy used to power the growing industries and societies. Prior to the industrial revolution, human and animal labor, along with limited use of water and wind power, were the primary sources of energy. However, with the advent of steam engines and mechanization, there was a need for more abundant and efficient sources of energy.
Coal: Coal became the dominant energy source during the early stages of the industrial revolution. It provided the necessary fuel for steam engines and played a crucial role in powering factories, railways, and steamships.
Oil: The discovery and commercialization of oil in the late 19th century revolutionized the energy landscape. Oil became a major source of energy for transportation, as it fueled the internal combustion engines of automobiles, trucks, and airplanes.
Natural Gas: With the expansion of oil drilling, natural gas also emerged as an important energy source. It is used for heating, electricity generation, and as a feedstock for various industrial processes.
Nuclear Energy: The development of nuclear power in the mid-20th century introduced a new source of energy. Nuclear reactors harness the energy released from nuclear fission reactions to generate electricity.
Renewable Energy: In recent decades, there has been a growing emphasis on renewable energy sources such as solar, wind, hydroelectric, and geothermal power. These sources offer sustainable alternatives to fossil fuels, with lower environmental impact and the potential for long-term energy security.
b) The social and environmental consequences of these energy sources:
Each energy source has its own social and environmental consequences:
Fossil Fuels: The burning of fossil fuels, such as coal, oil, and natural gas, releases greenhouse gases and contributes to climate change. Extraction of fossil fuels can lead to habitat destruction, water pollution, and health hazards for workers and nearby communities.
Nuclear Energy: While nuclear energy does not produce greenhouse gas emissions during operation, it presents risks associated with accidents, radioactive waste disposal, and potential weaponization of nuclear materials. Public safety concerns and environmental risks have led to debates over the use of nuclear power.
Renewable Energy: Renewable energy sources offer benefits in terms of reduced greenhouse gas emissions and environmental sustainability. However, their deployment may require land use changes, and some technologies (e.g., large-scale hydroelectric dams) can cause ecological disruptions and displacement of communities.
c) The relationship between energy development and degree of industrial development:
Energy development and industrial development are closely intertwined. The availability of affordable and reliable energy sources is crucial for driving industrialization and economic growth. Access to abundant energy resources enables countries to power their industries, expand transportation networks, and improve living standards.
Countries that have invested in the development and exploitation of energy sources have typically experienced accelerated industrialization and technological advancement. The ability to secure and utilize energy resources efficiently has been a determining factor in a country's competitiveness and economic prosperity.
Conversely, countries that lack access to energy sources or fail to invest in their energy sectors may face challenges in industrial development. Limited energy availability can constrain production capacities, limit access to modern technologies, and hinder economic progress.
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A rocket is burning fuel at the rate of 300g/s and electing all the gas. In one direction of the rate of 500m/s what is maximum weight the rocket burn have if it going to move Vertically upward.
Correct option is D)
Overall momentum of the system is conserved.
Therefore, change in momentum of the rocket will be equal to that of the fuel.
Change in momentum of the fuel will be
Δmv=60000
Hence, change in momentum of the rocket will also be:
△P=60000
Thrust force F=
△t
△p
F=60000 N
if a ball of volume v and density is fully submerged to a depth h in water of density pw. what is the formula for the boyuant force it experiences?
The buoyant force experienced by an object fully submerged in a fluid is given by the formula:
Fb = p * g * Vwhere Fb is the buoyant force, p is the density of the fluid, g is the acceleration due to gravity, and V is the volume of the object.
If you are given the volume and density of the ball and the density of the water, you can use this formula to calculate the buoyant force experienced by the ball. Simply plug in the appropriate values for p (the density of the water), g (the acceleration due to gravity, which is approximately 9.81 m/s^2 on Earth), and V (the volume of the ball).
It's important to note that this formula only applies to objects that are fully submerged in the fluid. If the object is partially submerged, the buoyant force will be less than what is calculated using this formula. In this case, you would need to take into account the volume of the object that is submerged in the fluid in order to calculate the buoyant force accurately.
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Factors considered when investing in rsa retail saving bonds
when investing in RSA retail saving bonds, investors should consider interest rates, investment term, risk, and liquidity. It is recommended that investors conduct thorough research and seek professional advice before making any investment decisions.
Firstly, it is important to consider the current interest rates being offered on the bonds. This will help investors determine the potential returns they can expect to earn on their investment.
Another factor to consider is the length of the investment term. RSA retail saving bonds are available in a variety of terms, ranging from 2 to 5 years.
It is also important to consider the level of risk associated with investing in RSA retail saving bonds. While these bonds are considered low-risk investments, there is always a chance that the issuer may default on the bond, resulting in the loss of the investor's principal.
Lastly, investors should consider the liquidity of the investment. RSA retail saving bonds are not easily tradable and may not be suitable for investors who require quick access to their funds.
In summary, when investing in RSA retail saving bonds, investors should consider interest rates, investment term, risk, and liquidity. It is recommended that investors conduct thorough research and seek professional advice before making any investment decisions.
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The highest speed achieved by a standard non racing sports car is 3.60 x 10² km/h. Assuming that the car accelerates at a constant rate to reach this maximum speed for 25.0 s and covers a distance of 1.50 km while accelerating, what was the initial velocity of the car?
The car has a constant acceleration of 1.95m/s2 and reaches a top speed of 41.0m/s. The boat has a constant acceleration of 6.50m/s2 .
What is acceleration ?When it comes to mechanics, acceleration refers to how quickly an object's velocity changes over time. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of the net force acting on an item determines its acceleration.
According to Newton's Second Law, an object's acceleration is a sum of two factors:
The size of the net balance of all external forces acting on that thing is directly proportional to the net resultant force; the magnitude of the object's mass, depending on the materials from which it was created, is inversely related to the mass.
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1) You suddenly find yourself in a zombie apocalypse and there is, of all things, a zombie cafeteria
lady chasing you! Thinking quickly, you run in a zig zag pattern. Explain how your knowledge of
Newton's Law of Inertia may just save your life!
A cat is napping on a windowsill. Which pair of forces are acting equally on the cat?
In a scenario where a cat is napping on a windowsill, the pair of forces that are acting equally on the cat are the force of gravity and the normal force.
Force of gravity: This force is pulling the cat downwards due to the Earth's gravitational pull. It is the weight of the cat acting vertically downward.
Normal force: This force is exerted by the windowsill in response to the weight of the cat. It acts perpendicular to the surface of the windowsill and counteracts the force of gravity.
When the cat is at rest and in equilibrium on the windowsill, these two forces, gravity and the normal force, are equal in magnitude and opposite in direction. This balance of forces allows the cat to remain stationary without any vertical acceleration.
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A box of mass 60 kg is at rest on a horizontal floor that has a static coefficient of friction of 0.6 and a kinetic coefficient of 0.25
a)The minimum force necessary to start moving the box
b) The friction force and the acceleration of the box if a horizontal force of 400 N is applied
Answer:
a) F = 353.2 N
b) \(F_{f} = 147.2 N \)
a = 4.21 m/s²
Explanation:
a) The minimum force necessary to start moving the box s given by:
\(\Sigma F = 0\)
\( F - \mu_{s}N = 0 \)
\( F = \mu_{s}mg \)
Where:
F: is the force applied to move the box
μs: is the static coefficient of friction = 0.6
m: is the mass = 60 kg
g: is the gravity = 9.81 m/s²
\( F = 0.6*60 kg*9.81 m/s^{2} = 353.2 N \)
b) The acceleration is:
\( F - F_{f} = ma \)
\( F - \mu_{k}mg = ma \)
\( a = \frac{F - \mu_{k}mg}{m} = \frac{400 N - 0.25*60 kg*9.81 m/s^{2}}{60 kg} = 4.21 m/s^{2} \)
Now, the friction force is:
\( F_{f} = \mu_{k}mg = 0.25*60 kg*9.81 m/s^{2} = 147.2 N \)
I hope it helps you!
The speed skaters pictured in the Figure above are traveling around the track at a constant speed. How will their velocity change when the skaters are traveling around the track.
*Tip: look back at the definition for velocity to help you with this question
Group of answer choices:
A.) direction does not change, but speed will decrease.
B.) speed does not change, but direction will.
C.) Both speed and direction will remain the same.
D.) Both speed and direction will change.
The speed does not change, but direction will.
option. B
What is velocity?Velocity is a vector quantity that describes both the magnitude and direction of the object in motion.
When an object is travelling at a constant speed, and its direction is not changing, then the velocity of the object will be constant.
On the other hand when an object is travelling at a changing speed, and its direction is changing as well, then the velocity of the object will also change.
Thus, if the speed skaters pictured in the Figure above are traveling around the track at a constant speed, then the velocity will be constant.
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a cyclist is riding a bicycle whose wheels have a radius of 14 inches. suppose the wheels turn at a rate of 300 revolutions per minute. (a) find the angular speed of the wheels in radians per minute.
The Angular speed of the bicycle wheel that the cyclist is riding is found to be 1884 radian per minute .
The cyclist is riding a bicycle whose wheels have a radius of 14 inches and the wheel is rotating with 300 revolutions per minute.
Now, we know,
Angular speed is the revolution made by an object in one second or a minute as per the requirement.
Now,
we know,
1 revolution is equal to 2π.
So, now, we can write,
1 revolution = 2π
For 300 revolution,
300 x 1 revolution = 300 x 2π
300 revolutions = 600π
Putting the value of π = 3.14
Revolution made in one minute = 3.14 x 600
Revolution made in one minute = 1884
So, the angular speed of the wheel is 1884 radian per minute.
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A golf ball rolls off a horizontal cliff with an initial speed of 10.2 m/s. The ball falls a vertical distance of 12.3 m into a lake below. How much time does the ball spend in the air? (b) What is the speed v of the ball just before it strikes the water? (a) Number Units (b) Number Units
The golf ball spends approximately 1.46 seconds in the air before hitting the water. Just before striking the water, its speed is approximately 18.84 m/s.
We can solve this problem by analyzing the motion of the golf ball in the vertical and horizontal directions separately. In the vertical direction, the ball falls a distance of 12.3 m due to gravity. We can use the equation of motion for vertical motion, which is given by:
\(h = (1/2)gt^2\)
where h is the vertical distance, g is the acceleration due to gravity (approximately 9.8 \(m/s^2\)), and t is the time. Rearranging the equation, we can solve for t:
\(t = \sqrt(2h / g) = \sqrt(2 * 12.3 / 9.8)\) ≈ 1.46 s
Therefore, the ball spends approximately 1.46 seconds in the air.
In the horizontal direction, the ball rolls off the cliff with an initial speed of 10.2 m/s. Since there are no horizontal forces acting on the ball, its horizontal speed remains constant throughout the motion. Therefore, the horizontal speed just before the ball strikes the water is also 10.2 m/s.
Combining the vertical and horizontal components of motion, we can find the resultant velocity just before the ball hits the water using the Pythagorean theorem:
\(v = \sqrt(v_{horizontal}^2 + v_{vertical}^2) = \sqrt(10.2^2 + 0)\) ≈ 10.2 m/s
Therefore, the speed of the ball just before it strikes the water is approximately 18.84 m/s.
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Integrated Concepts:_______.
(a) Calculate the ratio of the highest to lowest frequencies of electromagnetic waves the eye can see, given the wavelength range of visible light is from 380 to 760 nm.
(b) Compare this with the ratio of highest (20,000 Hz) to lowest (20 Hz) frequencies the ear can hear.
a). frequency = (speed) / (wavelength)
The speed of light is around 3 x 10⁸ m/s.
For 380 nm (violet light), frequency = (3 x 10⁸ m/s) / (380 x 10⁻⁹ m)
Frequency = 7.89 x 10¹⁴ Hz
For 760 nm (red light), frequency = (3 x 10⁸ m/s) / (760 x 10⁻⁹/s)
Frequency = 3.94 x 10¹⁴ Hz
The ratio is 2 .
That's 1 octave, or 0.3 of a decade.
b). The ratio of highest/lowest sounds is (20,000 Hz/20 Hz) = 1,000
That's 3 decades, or about 10 octaves.
===> Speaking logarithmically ( ! ), ears are sensitive to a range of sound frequencies that's 10 times as wide as the range of light frequencies that eyes can detect.
charges move through the circuit from one plate to the other until both plates areuncharged.
The movement of charges from one plate to the other in a capacitor is a fundamental process that underlies many electronic devices and applications.
When a capacitor is connected to a circuit, charges begin to flow from one plate to the other until both plates reach the same potential and the capacitor becomes fully charged.
This process involves the movement of electrons, which are negatively charged particles, from one plate to the other.
Initially, the capacitor is uncharged, and the plates have an equal number of positive and negative charges.
When a voltage is applied to the capacitor, electrons begin to flow from the negative plate to the positive plate, creating an electric field between the two plates. This electric field stores energy in the capacitor, which can be released later when the capacitor is discharged.
If the voltage across the capacitor is removed, the capacitor will retain its charge and will discharge slowly over time as the electrons flow back from the negative plate to the positive plate.
This discharge process can be used in various applications, such as in flash photography, where a capacitor is charged rapidly and then discharged quickly to produce a bright flash of light.
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If a car is traveling 27 meters in 3 seconds, what is its speed?
Answer:
9 m/s
Explanation:
speed = distance ÷ time
27÷3
=9
a capacitor of capacitance ca is first charged to a voltage v0 , as shown above on the left. without losing any charge, the capacitor is now disconnected from the voltage source and connected to a second initially uncharged capacitor of capacitance cb that is three times ca , and the circuit is allowed to reach equilibrium, as shown above on the right. the new voltage across capacitor ca is va . how does this new voltage compare with the original voltage of v0 ?
The total charge and total energy in the circuit remain the same, the distribution of charge and energy changes due to the different capacitances of the capacitors.
What is the new voltage (VA) across capacitor A when connected in series with another capacitor, and how does it compare to the original voltage (V0)?When the two capacitors are connected in series, the total charge on both capacitors remains the same. Therefore, the voltage drop across capacitor A, which is initially charged to voltage V0, must be equal to the voltage drop across capacitor B, which is initially uncharged.
Using the formula for capacitance (C = Q/V), we can rewrite this equation as:
\(Q/CA = Q/CB\)
\(VA = Q/CA\)
\(VB = Q/CB\)
We also know that CB = 3CA, so we can substitute this into the equation for VB:
\(VB = Q/3CA\)
Since VA and VB are equal, we can set their equations equal to each other and solve for VA:
\(VA = VB\)
\(Q/CA = Q/3CA\)
\(VA = V0/3\)
Therefore, the new voltage across capacitor A (VA) is one-third of the original voltage (V0).
When the capacitors are connected in series, the total capacitance of the circuit decreases, which means that the charge is distributed over a smaller total capacitance. This results in a higher voltage drop across each capacitor.
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a ball traveling at 3 m/s east hits a wall and bounces off heading west traveling at 2 m/s. if the change in direction took 0.4 second, what is the average acceleration of the ball?
The average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.
What are the Equations of motion?
Equations of motion in physics refer to a group of equations that can describe how a physical system behaves in terms of how it moves through time. The relationship between parameters like velocity, location, and acceleration that are measured at different intervals of time is thus the definition of the equation of motion.In one, two, and three dimensions, an object's motion is governed by the three equations of motion.These equation are used when the body is moving in a constant acceleration and along a straight line. The following are the three equations:
First equation of motion: v = u + atSecond equation of motion: s = ut + at^2/2Third equation of motion: v^2 = u^2 + 2asThe following informations are given in the question,
u = Initial velocity of the ball = 3m/s along East
v = final velocity of the ball = 2m/s along West
t = time = 0.4 seconds
Using the 2nd equation of motion, we find the accelertaion, a of the ball-
v = u + at
-2 = 3 + a x 0.4
-5 = a x 0.4
a = - 5 /0.4
= - 12.50 m/s^2
The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.
Hence, the average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.
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Use the drop-down menus to identify the variables for the first hypothesis.
Hypothesis #1:
As you build circuits, you will alter voltage, which is the
variable. You will measure how changing the
resistance affects the current, which is the
variable. A "constant" is a parameter that stays the same
regardless of the other variables, and in this case,
is held constant.
Answer:
ind, dep, resistance
Explanation:
In a circuit, the voltage is an independent variable and current is a dependent variable, while the resistance is a constant parameter.
What is Ohm's law ?Ohm's law states that, the amount of current flowing through an electrical circuit is directly proportional to the voltage applied across the circuit.
Here,
According to Ohm's law,
Voltage \(\alpha\) Current
V \(\alpha\) I
V = a constant x I
V = IR
where, R is the resistance of the circuit.
Therefore, we can say that the resistance in the circuit is a constant parameter.
So, the voltage and current are the variable parameters, while the resistance remains the same.
Also voltage is an independent variable and current is a dependent variable.
Hence,
In a circuit, the voltage is an independent variable and current is a dependent variable, while the resistance is a constant parameter.
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What is the name of the force that opposes, or the opposite of gravity ???!!
Answer:
Tension.
tension is the name of force that opposes or goes opposite of gravity
Hope this helps!
Answer: Friction
Explanation: Friction opposes gravity and any motion in two surfaces.
Hope This Helped, Have A Great Day!
What are stars made of?
Answer: The churning nuclear forges at the centres of stars produce light and heat, creating stars.
Explanation:
Answer: Hyrdrogen and Helium.
Explanation:
The speed of the wooden bar is changed so that the bar hits the water fewer times each second.
What happens to the frequency of the waves produced?
A. Increases
B. Does not change
C. Decreases
Answer:
c - the frequency of the waves decreases
while a-2 is dribbling, player a–1 sets a rear screen closer than one normal step, on stationary b-2. as b-2 turns and, prior to placing a foot to the floor, contacts a–1. official rules this is a team-control foul on a-1. is the official correct?
Yes, the official is correct. The rules state that when a player sets a rear screen he or she must give the defender enough time to avoid contact by making a move to the side of the screener.
What is contact?
Contact is the act of making physical contact or exchanging words with another person or object. More and more, the question is how on earth we would ever make contact with extraterrestrial life, not whether there's some other life in the universe. To establish communication, whether it be verbal, physical, or another type, is to "make contact" (the noun). It means to establish a certain communication to contact (the verb). Good luck if you're trying to get in touch with Madonna. She employs individuals whose sole responsibility it is to keep people like you from contacting her. Positive and negative contacts are present on batteries. They are the points of contact between the battery and the object receiving power.
Since B-2 had not yet placed a foot on the floor, A-1 did not give them enough time to avoid contact, therefore it was a team-control foul.
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1. What type of energy transformation best fits what happens in a paper shredder?
Answer:
electrical- mechanical
Explanation:
Smartness 1,000
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Put it in order. Please help its due in a hour
Answer:
the answer is 2,3,1 then 4 my bio teacher said this was correct
Explanation:
on the moon, the acceleration due to gravity is -1.6 meters per second per second. a stone is dropped from a cliff on the moon and hits the surface of the moon 28 seconds later. how far did it fall? (round your answer to one decimal place.)
a) - 627.7 m
b) - 44.8 m/s
a) we use the formula,
d = gt²/2
when we substitute the values,
d = -1.6 X 28²/2
= -1.6 X 784/2
= - 627.2m
distance travelled by the stone was - 627.2m
b) calculate the impact,
v = gt
substitute,
v = (-1.6) X 28
v = - 44.8 m/s
The negative sign here indicates that the object is going down.
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6. A balloon gathers -0.973 μC of charge as the wind blows it directly East through
Earth's magnetic field (BE = 5.01 x 10-5 T). If the magnetic force on the balloon is
8.11 x 10-10 N West.
what is the
velocity of the balloon?
a.-16.6 m/s
c. 8.44 m/s
b. 3.95 x 10-20 m/s
d. 16.6 m/s
Answer:
Explanation:
To determine the velocity of the balloon, we can use the formula for the magnetic force on a charged particle moving in a magnetic field:
F = qvB
Where:
F is the magnetic force,
q is the charge,
v is the velocity of the balloon, and
B is the magnetic field strength.
Given:
F = -8.11 x 10^-10 N (West)
q = -0.973 μC = -0.973 x 10^-6 C (the negative sign indicates the charge is negative)
B = 5.01 x 10^-5 T
We can rearrange the formula to solve for v:
v = F / (qB)
Substituting the given values:
v = (-8.11 x 10^-10 N) / (-0.973 x 10^-6 C * 5.01 x 10^-5 T)
v ≈ 16.6 m/s
Therefore, the velocity of the balloon is approximately 16.6 m/s. Option (d) is the correct answer.