Acceleration due to gravity of the spacecraft at a height of 6400 km from earth's surface is 2.45 m/s²
What is acceleration due to gravity ?The acceleration of an object attained due to the gravitational force acting on it is called acceleration due to gravity.
Here,
The acceleration due to gravity on the surface of earth,
g = GM/R²
Acceleration due to gravity at a height h from earth's surface,
g' = GM/(R + h)²
So, g'/g = R²/(R + h)²
Therefore, g' = gR²/(R + h)²
Here, h = 6400 km = Radius of earth, R
so h = R
Therefore,
g' = gR²/(R + R)²
g' = gR²/4R²
g' = g/4 = 9.8/4
g' = 2.45 m/s²
Hence,
Acceleration due to gravity of the spacecraft at a height of 6400 km from earth's surface is 2.45 m/s²
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Your question was incomplete, but most probably your full question was:
On the surface of the Earth the spacecraft falls at 9.8 m/s². What is the Spacecraft's acceleration at a height 6400 km from Earth?
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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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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If an object with a charge of 0.08 C experiences an electric force of 5.0 what is the electric field strength ?
Please show you work.
The electric field strength is 62.5 N/C.
What is electric field strength ?Electric field strength (E) is a physical quantity that describes the intensity of the electric field at a particular point in space.
The electric field strength (E) can be calculated using the formula:
E = F/q
Where
F is the electric force and q is the charge.Substituting the given values, we get:
E = 5.0 N/0.08 C
E = 62.5 N/C
Therefore, the electric field strength is 62.5 N/C.
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The volume of a given mass of gas is 273cm²³ at 0 degree Celsius what is the volume at 237°c if its Pressure remains Constant
. Predicting Water is nearly incompressible.
Air is easily compressed. Predict what will
happen when an air-filled balloon is pulled to
the bottom of a swimming pool.
someone help
Plesde
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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A roller coaster starts at a high peak with 60 J of gravitational potential energy. When it reaches a second peak, it has only 50 J of potential energy. Calculate the difference in energy and explain what happened to it.
Answer:
10 J
Explanation:
The difference in energy between the two peaks is 10 J.
As the roller coaster moves from the first peak to the second peak, it loses 10 J of gravitational potential energy. This energy is converted into other forms of energy, such as kinetic energy (the energy of motion) and thermal energy (the energy of heat).
Some of the gravitational potential energy is converted into kinetic energy as the roller coaster accelerates down the first peak. As it reaches the second peak, some of the kinetic energy is converted back into gravitational potential energy, but not all of it. The difference between the initial and final potential energy represents the energy that was lost or converted into other forms.
what is 2x10^-3 as second
Answer: 0.002
Explanation:
25,000 newtons accelerating 10m/s2
The mass of the object is 2,500 kg according to Newton's second law of motion.
What is Newton's second law of motion?Newton's second law of motion states that the force acting on an object is equal to the product of its mass and acceleration. Mathematically, F = ma, where F is the force, m is the mass of the object, and a is its acceleration.
If a force of 25,000 N is applied to an object, and the object is accelerating at a rate of [tex]10 m/s^2,[/tex] then the mass of the object can be calculated using Newton's second law of motion:
F = ma
where F is the force, m is the mass of the object, and a is its acceleration.
Rearranging this equation, we get:
m = F/a
Plugging in the values given in the problem, we get:
[tex]m = 25,000 N / 10 m/s^2 = 2,500 kg[/tex]
Therefore, the mass of the object is 2,500 kg
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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.
name five example of derived qualities
Answer:
velocity, power, energy, force and density
Explanation:
A galvanic cell at a temperature of is powered by the following redox reaction: Suppose the cell is prepared with and in one half-cell and and in the other. Calculate the cell voltage under these conditions. Round your answer to significant digits. 2vo2
At the given temperature, the cell voltage can be calculated using the standard reduction potentials of the reactants and products involved in the redox reaction. Using the values provided, the cell voltage would be 2.12 V, rounded to two significant digits.
An electrochemical cell that converts the chemical energy of spontaneous redox reactions into electrical energy is known as a galvanic cell or a voltaic cell. Galvanic cell Voltaic cell is an electrochemical cell that makes use of chemical reactions to generate electrical energy.A galvanic cell or voltaic cell is an electrochemical cell in which an electric current is generated from spontaneous Oxidation-Reduction reactions
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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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23. Describe the objects or materials that
vibrated to produce three of the sounds
10 you've heard today
Answer: 1. flushing the toilet,
2. oil popping in a pan,
3. the clicking of a mouse on a computer,
Explanation: Lu-.v u
2. A golfer wishes to chip a shot into the hole 50 m away on flat level ground. If the ball flies to a
maximum height of 25 m, what speed must it have initially to reach the hole?
The speed the golf which is in projectile motion must have initially to reach the hole is 31.321 m/s.
What is projectile?A projectile is any object which is thrown into the space upon which the only acting force is the gravitational force. The primary force which is acting on a projectile is only gravity. This does not necessarily mean that other forces do not act on the object, just that their effect is minimal compared to the gravity.
A golfer wishes to chip a shot into the hole, which is 50 meters away on the flat level ground. If the ball flies to a maximum height of 25 meters.
The angle with which the ball flies,
tan θ = 25 m/ (50m/2)
tan θ = 1
θ = 45°
If u is the initial speed, the maximum height of the ball will be:
H = u² sin²θ / 2g
By putting the values, we get
25 = u² sin²45 / (2 × 9.81)
u = 31.321 m/s
Thus, the initial speed is 31.321 m/s.
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Help quick.
Two objects, m1 and m2, have an elastic collision. The initial velocity of m1 is +6.0 m/s and of m2 is +4.0
m/s. After the collision, the velocity of m1 is +5.0m/s. What is the velocity of m2?
Answer:
u
1
=
6.0
m
/
s
u
2
=
4.0
m
/
s
v
1
=
5.0
m
/
s
Explanation:
En un momento dado , la nadadora de una prueba de natación de 100 m espalda está debajo de la cuerda falsa de salida. Indica a) El camino recorrido si acaba de salir b) El camino recorrido si ya ha tocado el final de la piscina c) El desplazamiento de la nadadora en los casos a y b ¿Coincide en algún caso con el camino recorrido?
If at a given moment, the swimmer in a 100m backstroke swimming race then,
a) The distance traveled if she has just started is 0 meter.
b) The distance traveled if she has just started is 100 meters.
c) The displacement is 0 m in case a and 100 m is case b. No they do not coincide.
Since the swimmer has just started, therefore she has not traveled any distance yet.
As it is mentioned that the swimmer has already touched the end of the pool, she has traveled a distance of 100 meters.
The displacement of the swimmer in cases a and b is zero because displacement is the distance between the starting point and the ending point, regardless of the path taken. In case a, the swimmer has not moved from the starting point yet, so the displacement is zero. In case b, the swimmer has returned to the starting point, so the displacement is also zero.
No, the displacement does not coincide with the distance traveled in either case because the swimmer's path is not necessarily a straight line from the starting point to the ending point. The displacement only considers the initial and final positions of the swimmer, while the distance traveled takes into account the length of the path taken by the swimmer.
Therefore, it could be concluded that at the start diatance is 0m and at the end it is 100m and the displacement at starting is 0m and at the end it is 100m. These do not coincide with each other.
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The question is :
At a given moment, the swimmer in a 100m backstroke swimming race is below the false start rope. State :
a) The distance traveled if she has just started
b) The distance traveled if she has already touched the end of the pool
c) The displacement of the swimmer in cases a and b. Does it coincide with the distance traveled in any case?
Which requires more work, lifting a 90 kg bag up 6 m in 4 minutes, or lifting a 45 kg bag up 12 m in 2 minutes?
Answer:
W = m g h increase in PE due to lfting bag
W1 = 90 kg * 9.8 m/s^2 * 6 m
W2 = 45 kg * 9.8 m/s^2 * 12 m
W2 / W1 = 1 the work is the same in both cases
The power required is different
P = W / t
Since t is smaller for W2 and the work output is the same the power required to produce W2 is twice as great
if 1 cubic centimeter of water has a mass of 1 gram then a liter of water has a mass of _ gram(s)
Why do some people deny climate change, despite overwhelming evidence to the contrary?
Most typically, a person who denies the effects of climate change makes decisions based on their emotions, especially those they have toward the things they fear.
Why do some people choose to disregard climate change?The psychological distance is the first. Many people don't consider the possibility of climate change to be serious enough. Its impacts might not be immediately apparent unless you wake up to find your kitchen under water.
Why do people disregard concerns about sustainability?Depression may result from feeling constantly threatened, or it may result from our defensive system activating, forcing us to overlook the issue in order to deal. Dissonance, denial, and identification are three further difficulties cited by Stoknes.
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What light phenomena can be explained using the particle-bullet model of light? check all that apply. What light phenomena can be explained using the particle-bullet model of light?check all that apply. Why shadows and semi-shadows form. Why different media bend light differently. Why the angles of incidence and reflection are the same. Why light travels in a straight line
Answer:
The particle-bullet model of light can explain why shadows and semi-shadows form and why light travels in a straight line. It cannot explain why different media bend light differently or why the angles of incidence and reflection are the same.
A carbon dioxide laser used in surgery emits infrared radiation with a wavelength of 10. 6m. In 1. 00 ms, this laser produced 9. 50 MW of power. How many photons were produced?
To calculate the number of photons produced by the carbon dioxide laser, we need to use the formula relating the energy of a photon to its frequency or wavelength.
The formula is: E = hf = hc/λ, where E is the energy of the photon, h is Planck's constant (6.626 × 10^-34 J s), f is the frequency, c is the speed of light (3 × 10^8 m/s), and λ is the wavelength. First, we need to calculate the energy of one photon with a wavelength of 10.6 μm: E = hc/λ = (6.626 × 10^-34 J s) × (3 × 10^8 m/s) / (10.6 × 10^-6 m) = 1.862 × 10^-20 J. Next, we need to calculate the total energy produced by the laser in 1.00 ms: Energy = Power × Time = 9.50 MW × 1.00 × 10^-3 s = 9.50 × 10^3 J. Finally, we can calculate the number of photons produced by dividing the total energy by the energy of one photon: Number of photons = Energy / E = (9.50 × 10^3 J) / (1.862 × 10^-20 J) = 5.098 × 10^23 photons. Therefore, the carbon dioxide laser produced 5.098 × 10^23 photons when it emitted infrared radiation with a wavelength of 10.6 μm and a power of 9.50 MW for 1.00 ms.
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You have studied and researched different forms of renewable and nonrenewable resources. what recommendations would you make to the committee regarding the types of resources that could be used to generate electricity? This paragraph should be a persuasive writing piece as you consider all you have learned based upon evidence. (8 pts.)
Based on my research and analysis of different renewable and nonrenewable resources, I strongly recommend that the committee prioritize the use of renewable resources for electricity generation. Renewable resources such as solar, wind, hydro, and geothermal power have numerous advantages over nonrenewable resources such as coal, oil, and gas.
First and foremost, renewable resources are more sustainable and environmentally friendly than nonrenewable resources. They do not emit harmful pollutants, greenhouse gases, or other harmful substances that contribute to climate change and environmental degradation. In addition, renewable resources are abundant and can be harnessed from various sources, making them a more reliable and long-term solution for electricity generation.
Furthermore, renewable resources have become more affordable and cost-competitive with nonrenewable resources over time. The cost of solar and wind power has decreased significantly, making them more accessible to households, businesses, and industries. On the other hand, the price of nonrenewable resources is highly volatile and subject to global market fluctuations, making them a less stable and unpredictable source of electricity.
In conclusion, I strongly recommend that the committee prioritize the use of renewable resources such as solar, wind, hydro, and geothermal power for electricity generation. Not only are these resources more sustainable and environmentally friendly, but they are also becoming more affordable and accessible to the general population. By embracing renewable energy, we can create a cleaner, more sustainable, and more prosperous future for ourselves and future generation
There is not really a subject for this but, Theoretically, What black hole would be bigger, m87 aka Messier 87 or Ton 618 aka Tonantzintla 618. Although Messier 87 was the first picture of one, what would the size still be of Tonantzintla 618 I would like to know what you think
The event horizon is directly related to the mass of the black hole, with larger black holes having larger event horizons.
What is Black Hole?
A black hole is an astronomical object that has collapsed to such a small size that its gravitational pull is so strong that nothing, not even light, can escape it. Black holes are formed from the remnants of massive stars that have run out of fuel and undergone a catastrophic collapse, or from the merging of two or more smaller black holes.
M87 and Ton 618 are both supermassive black holes, with masses estimated to be around 6.5 billion and 66 billion times the mass of the Sun, respectively. However, the size of their event horizons would depend not only on their mass but also on their spin and the density of the surrounding matter. It is therefore not possible to predict which black hole would be bigger without additional data and calculations.
It is worth noting that the first image of a black hole that was released in 2019 was actually an image of the event horizon of the black hole in M87, not the black hole itself. The event horizon of M87's black hole was estimated to be around 40 billion km in diameter, which is larger than the entire solar system.
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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 bottle has a mass of 10.00g when is empty and 84.70g when is filled with water. When is filled with another fluid, the mass is70.00g. What is the specific gravity of the fluid?
Answer:
To find the specific gravity of the fluid, we need to compare its density to that of water.
First, we need to find the mass of the water in the bottle:
Mass of water = Mass of filled bottle - Mass of empty bottle
Mass of water = 84.70 g - 10.00 g
Mass of water = 74.70 g
Next, we can calculate the volume of water in the bottle using the density of water, which is 1 g/mL:
Volume of water = Mass of water / Density of water
Volume of water = 74.70 g / 1 g/mL
Volume of water = 74.70 mL
Now we can use the mass of the bottle when it is filled with the other fluid to find the mass of the fluid:
Mass of fluid = Mass of filled bottle - Mass of water - Mass of empty bottle
Mass of fluid = 70.00 g - 74.70 g - 10.00 g
Mass of fluid = -14.70 g
This result is negative, which means that the mass of the fluid is less than the mass of the water. This could be due to a variety of factors, such as air bubbles trapped in the fluid or an error in the measurements.
Assuming that the mass of the fluid should have been greater than the mass of the water, we can still calculate the specific gravity using the volume of water we calculated earlier:
Density of fluid = Mass of fluid / Volume of water
Density of fluid = (70.00 g - 10.00 g - 74.70 g) / 74.70 mL
Density of fluid = -14.70 g / 74.70 mL
Density of fluid = -0.196 g/mL
Again, this result is negative and therefore not physically meaningful. It is possible that there was an error in the measurements or that the assumption about the mass of the fluid being greater than the mass of the water was incorrect. Without additional information, we cannot calculate the specific gravity of the fluid.
Explanation:
Shawna's hockey coach is planning for the upcoming game against their biggest rival.she thinks her players aren't quite as fast as most of the individuals on the other team and she knows they aren't as experienced the coach stresses fundamentals and proper passing techniques.one basic offensive strategy her coach ask her players to use is to make sure they pass the puck on
Answers:
1 a spot slightly ahead of their teammate
2 the teammate covered by two defenders
3 their teammate's back skate
4 their teammate's front skate
Shawna's hockey coach is committed to helping her players succeed in their upcoming game against their biggest rival.
What is mass?Mass is a fundamental physical property of every object that exists in the universe. It is the measure of an object's inertia and resistance to acceleration. Mass is measured in kilograms or pounds, and is commonly used to measure the weight of an object. Mass is an intrinsic property of an object that does not depend on its location or the gravitational field in which it is situated. Mass is related to the amount of matter, or material, an object contains, and it is not affected by gravity. Mass is an invariant quantity, meaning it is unaffected by any external forces or conditions.
To this end, she emphasizes the importance of fundamental hockey skills and proper passing techniques. She encourages her players to make quick, accurate passes to teammates in order to create more scoring opportunities; the goal is to always have an open man. To achieve this, the coach instructs the players to pass the puck to a spot slightly ahead of their teammate, the teammate covered by two defenders, their teammate's back skate, or their teammate's front skate. By focusing on the basics and utilizing these strategies, the coach hopes to give her team the best chance of coming out on top.
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8. Inferring When cars pass one another in
opposite directions on the highway, they tend
to be forced together. Use Bernoulli's principle
to explain why this happens.
someone help please
Bernoulli's principle can be used to explain the motion of cars on the highway as the cars moving fast create areas of low pressure around them, causing them to be pushed together by the higher pressure.
What is Bernoulli's principle?Bernoulli's principle can be formulated by Daniel Bernoulli. The principle states that as the speed of a moving fluid increases such as liquid or gas, the pressure within the fluid decreases through it. Although, Bernoulli deduced this law, it was Leonhard Euler who derived the Bernoulli's equation in its usual form in the year 1752.
When the two cars passes one another in opposite directions on the highway, then they tend to be forced together. Use the Bernoulli's principle to explain why this happens with the cars. The cars moving fast on the highway create areas of low pressure around them, causing them to be pushed together by the higher pressure.
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A 10 kg block that is attached to a 5 kg block by a light inextensible string of negligible mass is pulled with a force of 50N at an angle of 30 degrees along with the horizontal. The 10 kg block experiences a kinetic frictional force of 20N. The coefficient of kinetic friction between the surface and the 5kg block is 0.2
The two blocks have an acceleration of 4.12 m/s^2.
String calculationsTo solve this problem, we need to draw a free-body diagram of both blocks and apply the laws of motion.
Let's assume that the positive x-direction is to the right, and the positive y-direction is upwards.
For the 10 kg block:
The weight force (W) acts downwards and has a magnitude of 10 x 9.8 = 98 N
The force of tension (T) acts upwards and is transmitted through the string from the 5 kg block
The frictional force (f) acts in the opposite direction to the motion and has a magnitude of 20 N
The force applied (F) acts at an angle of 30 degrees with the horizontal
We can resolve the applied force into its x- and y-components:
The x-component of the force (F cos 30) opposes the frictional force
The y-component of the force (F sin 30) opposes the weight force and is balanced by the tension force
Therefore, we can write the following equations of motion for the 10 kg block:
ΣFx = [tex]\sqrt{x}[/tex]T - F cos 30 - f = ma
ΣFy = T - W - F sin 30 = 0
For the 5 kg block:
The weight force (W) acts downwards and has a magnitude of 5 x 9.8 = 49 N
The force of tension (T) acts upwards and is transmitted through the string to the 10 kg block
The frictional force (f) acts in the opposite direction to the motion and has a magnitude of μkN, where μk is the coefficient of kinetic friction and N is the normal force
We can write the following equation of motion for the 5 kg block:
ΣFx =Δ f - T = ma
Now, we can solve for the unknowns.
From the equation ΣFy = T - W - F sin 30 = 0, we get:
T = W + F sin 30
T = 10 x 9.8 + 50 sin 30
T = 109.8 N
From the equation ΣFx = T - F cos 30 - f = ma, we get:
a = (T - F cos 30 - f) / m
a = (109.8 - 50 cos 30 - 20) / 10
a = 2.33 m/s^2
From the equation ΣFx = f - T = ma, we get:
a = √(f - T) / m
a = (0.2 x N - 109.8) / 5
a = -4.96 m/s^2
Since the acceleration of the two blocks is the same (due to the inextensible string), we can equate the two values of acceleration and solve for N:
2.33 = -4.96
N = 73.8 N
Now we can calculate the frictional force on the 5 kg block:
f = √μkN
f = 0.2 x 73.8
f = 14.76 N
Finally, we can use the equation ΣFx = T - F cos 30 - f = ma to find the acceleration:
a = (T - F cos 30 - f) / m
a = (109.8 - 50 cos 30 - 14.76) / 10
a = 4.12 m/s^2
Therefore, the two blocks accelerate to the right with an acceleration of 4.12 m/s^2.
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