events occur at the same place in an inertial reference frame S and are sepa- rated in time by an interval of 4 s. What is the spatial separation between the 2 events in an inertial reference frame in which the events are separated by a time interval of 6 s
Answers
The spatial separation between the 2 events is 13.416 × 10⁸ m
In space time-interval, the invariance of line element explains that if there are two inertial reference frames S and S', the spatial separation is invariant in all inference frames.
i.e.
\(\mathbf{\Big [ [\Delta x]^2 -[c^2 \Delta t ^2] \Big]_{frame \ 1} = \Big [[\Delta x]^2 -[c^2 \Delta t ^2] \Big]_{frame\ 2} }\)
\(\mathbf{[\Delta x_1]^2 -[c^2 \Delta t_1 ^2] = [\Delta x_2]^2 -[c^2 \Delta t_2 ^2] }\)
where;
Δx₁ = 0 (since it occurs at same place)Δt₁ = 4 sΔt₂ = 6 s\(\mathbf{[0]^2 -[c^2 (4) ^2] = [\Delta x_2]^2 -[c^2 (6) ^2] }\)
\(\mathbf{ [\Delta x_2]^2 =36(c^2) - 16(c^2)]}\)
\(\mathbf{ [\Delta x_2]^2 =20(c^2)}\)
\(\mathbf{ \Delta x_2 = \sqrt{20} \ c}\)
here;
c= speed of light = 3 × 10⁸\(\mathbf{ \Delta x_2 = \sqrt{20} \times 3 \times 10^8}\)
\(\mathbf{ \Delta x_2 =13.416 \times 10^8 \ m}\)
Therefore, we can conclude that the spatial separation between the 2 events is 13.416 × 10⁸ m
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Related Questions
A certain carbon monoxide molecule consists of a carbon atom of mass mc = 14 u and an oxygen atom of mass mo = 18 u that are separated by a distance of d = 122 pm, where "u" is an atomic unit of mass.
a. Write a symbolic equation for the location of the center of mass of the carbon monoxide molecule relative to the position of the oxygen atom. This expression should be in terms of the masses of the atoms and the distance between them.Â
b. Calculate the numeric value for the center of mass of carbon monoxide in units of pm.Â
Answers
(a) The formula for these two atoms' center masses in relation to the oxygen atom is. (b) The center of mass of monoxide has a numerical value of 53 pm.
The settings provided;
The carbon atom's mass is 12u.
The oxygen atom has a mass of 17 u and a spacing of 128 pm between its atoms.
These two atoms' center masses in relation to the oxygen atom are computed as follows;
where; is the atom's separation from the fixed reference point (the oxygen atom) (b) The following equation is used to calculate the center of mass of monoxide in measures of pm:
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Paul swims 7.5 kilometers in 1.5 hours. What was his average speed?
Answers
a student investigates the efficiency of a scale model of an electricity generating wind turbine using the equipment in figure 1.
the student changed the number of sales on the turbine and measures the power output from the turbine's generator. the air blower is supplied with 533w and has efficiency of 0.62.
when using two sails, the efficiency of turbine was 13%. calculate the power generated.
Answers
The power generated or output power of the turbine is determined as 42.96 W.
Power generated
The power generated or output power of the turbine is calculated as follows;
eff = 0utput power/1nput power x 100%
13 = 0utput power/(0.62 x 533)
0.13 = 0utput power/330.46
0utput power = 0.13 x 330.46
0utput power = 42.96 W
Thus, the power generated or output power of the turbine is determined as 42.96 W.
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what type of stars can collapse in a supernova explosion and become neutron stars
Answers
Answer:
red supergiants can
Which of the following cannot be transmitted through a
vacuum?
a. ocean waves
b. UV rays
C. Laser
d. X-rays
e. microwave
Answers
At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball's acceleration is 890 m/s2 and the vertical or y component of its acceleration is 1100 m/s2. The ball's mass is 0.41 kg. What is the magnitude of the net force acting on the soccer ball at this instant
Answers
Answer:
580.13N
Explanation:
The magnitude of the net force is expressed using the expression
F = ma
m is the mass
a is the net acceleration
Given
Mass = 0.41kg
Get the net acceleration
a = √(ax)²+(ay)²
a = √890²+1100²
a = √792100+1210000
a = √2002100
a = 1414.96m/s²
Get the required net force acting on the ball
F = ma
F = 0.41×1414.96
F = 580.13N
Hence the net force acting on the soccer ball at this instant is 580.13N
A ball of mass ¼(kg) is dropped vertically towards a surface and its velocity at the moment of its arrival is (10m/s), and it bounces back at a speed of (10m/s), so the change in its momentum after the ball bounces in unit (NS) is:
a) 5
b)-5
c)¼
d)zero
Answers
The change in the momentum of the ball after the ball bounces back at a speed of 10 m/s, given that its initial speed is 10 m/s is 5 Ns (option A)
How do i determine the change in the momentum of the ball?First, we shall list out the given parameters from the question. Details below:
Mass of ball (m) = ¼ Kg = 0.25 KgInitial velocity (u) = 10 m/sFinal velocity (v) = 10 m/sChange in momentum =?The change in the momentum of the ball can be obtained as follow:
Change in momentum = m(v + u) (since there is a rebound)
Change in momentum = 0.25 × (10 + 10)
Change in momentum = 0.25 × 20
Change in momentum = 5 Ns
Thus, we can conclude that the change in the the momentum of the ball is 5 Ns (option A)
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the weight of a body of certain mass become zero in space.why?
Answers
Answer:
There is no force in space.
Explanation:
Weight is the gravitational force acting on the mass as in space there is no gravity so weight appeares as zero
Answer:
It is because of gravity that your weight of a certain mass becomes zero in space.
Explanation:
A steel cube is heated to 120
∘
C, after which it is immersed in a tub of apple juice that is kept at the constant temperature of 10
∘
C. Five minutes after it is submerged, the temperature of the cube is 90
∘
F. Approximately what will the temperature of the cube be ten minutes after it is submerged? =79
∘
C There is not enough information to answer this. −68
∘
C Suppose that the function y=f(x) satisfies the conditions y(0)=1 and y
′
=
4
xy
3
Then... y(1)=
3
2
y(1)=
2
3
y(1)=
2
3
y(1)=2
3
Suppose that the function y=f(x) satisfies the conditions y(0)=1 and y
′
=
4
xy
3
. Then. y(1)=
3
2
y(1)=
2
3
y(1)=
2
3
y(1)=2
3
Answers
The temperature of the steel cube submerged in apple juice, heated to 120°C and then immersed in a tub at 10°C, is estimated to be approximately 79°C ten minutes after submersion.
To determine the temperature of the cube ten minutes after submersion, we need to consider the heat transfer process. The initial temperature of the cube is 120°C, while the apple juice is at a constant temperature of 10°C. As the cube is immersed, heat will flow from the hotter cube to the cooler apple juice until they reach thermal equilibrium.
The rate at which the cube loses heat can be influenced by several factors, such as the specific heat capacity of the materials involved, the surface area of the cube, and the surrounding environment. Without these specific details, it is challenging to provide an exact calculation of the temperature after ten minutes.
Therefore, it is incorrect to state a specific temperature like 79°C or -68°C without additional information. The answer should be "There is not enough information to answer this."
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a 2 kg book sits in the same room as a 5 kg vase. if the force of gravity between them is 7.41 question text :two asteroids are 75,000 m apart. one has a mass of 8 kg and the other 10 kg. if the force of gravity between them is 1.14 n, what is the mass of the other asteroid? 10-11 n, how far apart are they
Answers
The mass of the other asteroid is approximately 1.3529 * 10¹⁵kg.The force of gravity between two objects can be calculated using Newton's Law
The force of gravity between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force of gravity is directly proportional to the product of the masses of the objects and inversely proportional to the square of the distance between their centers.
In this case, we are given that the force of gravity between the two asteroids is 1.14 N and the mass of one asteroid is 8 kg. We need to find the mass of the other asteroid.
Let's use the formula for gravitational force:
F = (G * m1 * m2) / r²
where F is the force of gravity, G is the gravitational constant (approximately 6.674 * 10⁻¹¹ N m²/kg²), m1 and m2 are the masses of the two objects, and r is the distance between their centers.
We can rearrange the formula to solve for the mass of the other asteroid (m2):
m2 = (F * r²) / (G * m1)
Substituting the given values into the equation:
m2 = (1.14 N * (75,000 m)²) / (6.674 * 10⁻¹¹ N m²/kg² * 8 kg)
Calculating the expression:
m2 ≈ 1.3529 * 10¹⁵ kg
Therefore, the mass of the other asteroid is approximately 1.3529 * 10¹⁵ kg.
Please note that the calculated value is an approximation and may vary depending on the exact values used. It is always important to verify the input values and units to ensure accurate calculations.
Answer: The mass of the other asteroid is approximately 1.3529 * 10¹⁵kg.
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A student has a block that has a volume of 150 cm3 and a density of 30 g/cm3
Answers
Answer:
mass of block = 4500g
Explanation:
density = mass/volume
mass = volume x density
= 150 x 30
= 4500 g
A 65-kg student is in an elevator moving downward with constant velocity. He uses a bathroom scale to measure the upward force exerted on his feet. Part A What force magnitude does the scale read when the elevator is traveling at constant velocity
Answers
Answer:
F = M a + M g where a is the acceleration of mass M
Since a = 0 (no accleration)
F = M g = 65 kg * 9.80 m/s^2 = 637 Newton's
The magnitude of force in the scale reading is 637 N.
What is meant by acceleration due to gravity ?The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity.
Here,
Mass of the student, m = 65 kg
Since, the elevator is moving downwards, the expression for the apparent weight of the student can be given as,
F = m(g + a) since, elevator is in downward motion.
Given that, the elevator is moving downwards with a constant velocity. Therefore, the acceleration of the elevator moving downwards,
a = 0
Therefore, the magnitude of force(apparent weight) will be,
F = m(g + 0)
F = mg
F = 65 x 9.8
F = 637 N
That means the apparent weight of the student is equal to his actual weight.
Hence,
The magnitude of force in the scale reading is 637 N.
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five adaptive features of guava fruite
Answers
Guava fruit exhibits several adaptive features that contribute to its survival and reproduction in its environment. Here are five adaptive features of guava fruit:
1)Hard, protective outer layer
2)High vitamin C content
3)Numerous seeds
4)Aromatic scent
5)Tolerance to varied environmental conditions
Hard, protective outer layer: The outer layer of guava fruit is tough and thick, providing protection against physical damage and potential threats from herbivores and pathogens.
High vitamin C content: Guava fruit has a high concentration of vitamin C, which acts as an antioxidant. This feature helps the fruit endure exposure to sunlight and prevents oxidative damage caused by free radicals.
Numerous seeds: Guava fruit typically contains numerous small seeds. This adaptive feature increases the chances of successful reproduction, as more seeds are available for dispersal and potential germination.
Aromatic scent: Guava fruit emits a pleasant and distinct aroma. This scent attracts animals, especially birds and insects, which can aid in seed dispersal by consuming the fruit and subsequently dispersing the seeds through their droppings.
Tolerance to varied environmental conditions: Guava fruit is resilient and can tolerate a range of environmental conditions, including high temperatures, drought, and acidic soils. This adaptability enables guava plants to thrive in diverse habitats and ensures the survival of the fruit in different climates and ecosystems.
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A 40 kg girl is pushing a 40 kg boy in a 20 kg toy wagon. The wagon is moving at a constant speed of 2.0 m/s. Calculate the combined kinetic energy of the boyWhat is the acceleration of a 50 kg object pushed with a force of 500 newtons?
Answers
Answer:
Combined kinetic energy =120 joules
Acceleration= \(10 m/s^2\)
Explanation:
Given that the mass of the girl= 40 kg.
The mass of the boy= 40 kg.
The mass of the wagon = 20 kg.
The combined velocity of the boy and the wagon, v= 2.0 m/s.
The kinetic energy of any object having mass m and moving with the speed of v m/s, is
K.E.= \(\frac 1 2 mv^2\).
Here, the combined mass of the boy and the wagon = 40 + 20 = 60 kg.
So, the combined kinetic energy of the boy and the wagon
\(=\frac 12 60 \times 2^2= 120\) J
When a force is applied on the object having the mass m, then
F=ma,
where a is the acceleration produced in the object.
Here, F=500 newtons and m= 50 kg.
so, \(500=50\times a\)
\(\Rightarrow a = 500/50=10 m/s^2\).
Hence, the combined energy is 120 joules and the acceleration is 10 \(m/s^2\).
1. A skateboarder is skating over a circular bump. He is at the top of the bump and is
moving rightward. Is the normal force exerted on the skateboarder by the bump greater
than, less than, or equal to the weight of the skateboarder? Explain your reasoning.
Answers
Answer:
The normal force exerted on the skateboarder by the bump is less than the weight of the skateboarder
Explanation:
The given parameters are;
The location of the skateboarder = The top of the circular bump
The direction of motion of the skateboarder = Rightward
Therefore, given than the skateboarder has both horizontal angular motion (moving rightward) and vertical angular motion (over the bump), The effect of the weight of the skateboarder on the ground is reduced by the centripetal forces acting on the skateboarder and the normal force exerted on the skateboarder by the bump is equal to the reduced weight and is therefore less than the actual weight of the skateboarder.
The normal force exerted on the skateboarder is less than the weight due to the effect of centripetal force.
Given data:
The position of skateboarder is at top of the circular bump.
And direction of motion of Skateboarder is towards rightward.
Since, the skateboarder is undergoing the motion over the circular path, then it will have both horizontal angular motion (moving rightward) and vertical angular motion (over the bump).
The effect of the weight of the skateboarder on the ground is reduced by the centripetal forces acting on the skateboarder and the normal force exerted on the skateboarder by the bump is equal to the reduced weight and is therefore less than the actual weight of the skateboarder.
Thus, we can conclude that the normal force exerted on the skateboarder is less than the weight due to the effect of centripetal force.
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Is the moment of inertia of a body is unique? Give reason to your answer.
Answers
Answer:
The moment of inertia about a "fixed" axis is unique.
The moment of inertia of a square is different for an axis that passes perpendicular to the center of the square as opposed to an axis that lies in the plane of the square.
Torque = I * alpha shows that angular acceleration depends on I but not on the angle thru which I rotates α = ω / t
what are the five points of architecture by le corbusier?
Answers
The five points of architecture by Le Corbusier are Pilotis, Free plan, Free facade, Ribbon windows and Roof terrace
The five points of architecture are:
Pilotis: These are reinforced concrete columns that elevate the structure off the ground. The use of pilotis allows for the ground floor to be free of structural elements, enabling flexible use of space and increased light and ventilation.
Free plan: The use of pilotis allows for the creation of an open, free plan that is unconstrained by load-bearing walls. This enables architects to design flexible interior spaces that can be easily reconfigured.
Free facade: The use of pilotis and a free plan allows for the creation of a free facade, which means that the exterior walls are not load-bearing and can be designed purely for aesthetic purposes. This enables architects to experiment with new materials and forms.
Ribbon windows: Continuous bands of windows along the facade, or ribbon windows, enable natural light to penetrate deep into the interior of the building. This allows for a more comfortable and healthy living environment.
Roof terrace: The fifth point of architecture is the inclusion of a roof terrace, which provides additional outdoor space and can be used for a variety of purposes, including gardening and recreation
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PLEASE HELP 50 AND BEST ANSWER
Begin by printing out a copy of the periodic table. Use the file attached to the assignment page or download the file from the Course Resources folder.
1. Label the rows as the electron energy levels.
2. Label the number of valence electrons in Columns 1,2, and 13-18.
3. Label the metals, semi-metals, and non-metals using different colors. Make sure you don't obscure any of the information about different elements by coloring.
4. Label the ion charges for elements in the first 3 rows. Remember all the elements in Columns 1,2,16,17,18 will always have the same charge. Elements in Columns 13,14, or 15 can have different charges within the same row it's especially useful to write these charges on your periodic table. --
5. Label the trends for atomic size, ionization energy, and electron affinity.
Answers
Label the rows as the electron energy levels:
The rows of the periodic table are also known as periods. There are seven periods, and each period corresponds to a particular energy level. You can label them from 1 to 7, starting from the top row.
What are the responses to other questions?Label the number of valence electrons in Columns 1, 2, and 13-18:
Columns 1 and 2 are the s-block elements, and they have 1 and 2 valence electrons, respectively. Columns 13-18 are the p-block elements, and they have 3 to 8 valence electrons, respectively. You can label the number of valence electrons in each column.
Label the metals, semi-metals, and non-metals using different colors:
Metals are on the left side of the periodic table, semi-metals are in the middle, and non-metals are on the right side. You can use different colors to label them without obscuring any of the information about different elements.
Label the ion charges for elements in the first 3 rows:
Elements in the first 3 rows of the periodic table have predictable ion charges. The alkali metals (Group 1) have a charge of +1, the alkaline earth metals (Group 2) have a charge of +2, and the elements in Group 13 have a charge of +3. For Groups 15, 16, and 17, the charges are -3, -2, and -1, respectively. The noble gases (Group 18) are unreactive and do not form ions. You can write these charges for each element in their respective positions.
Label the trends for atomic size, ionization energy, and electron affinity:
Atomic size generally decreases from left to right across a period and increases from top to bottom within a group. Ionization energy generally increases from left to right across a period and increases from bottom to top within a group. Electron affinity generally increases from left to right across a period and becomes less negative from top to bottom within a group. You can label these trends on your periodic table as well.
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A temporary combustible structure covering 2,000 square feet should be at least
__________ feet away from any other building.
Answers
According to the National Fire Protection Association (NFPA) 1 Fire Code, a temporary combustible structure covering 2,000 sq ft should be at least 20 feet away from any other building.
This is to minimize the risk of fire spread from the temporary structure to other nearby buildings. However, it is important to note that local fire codes and regulations may vary and may have different requirements for the distance between buildings and temporary structures. It is always best to consult with local authorities and follow their guidelines to ensure safety and compliance. Additionally, it is important to take extra precautions when dealing with combustible materials and structures to prevent fires and ensure the safety of individuals and property.
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The distance a temporary combustible structure should be from another building varies by location's fire codes, yet a common suggestion is 30 feet. This rule is in place to prevent the rapid spread of fire. However, local building and fire codes provide the most accurate requirement.
Explanation:Unfortunately, the question doesn't specify a standard distance, and thus the information can very according to different fire codes that vary by location, but a common rule mentioned in many fire safety guidelines suggests a temporary combustible structure covering 2,000 square feet should ideally be at least 30 feet away from any other building. This distance exists to reduce the risk of fire spreading rapidly from one structure to another. However, for a precise requirement, it would be crucial to consult the local building and fire codes.
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It takes a runner 320 s to travel a final position of +1000 m at a velocity of +2.5 m/s. What was the runner's initial position
Answers
The position of the runner up traveling at a velocity of +2.5 m/s is -200 m.
What is position?Position is the location of the object (whether it's a person, a ball, or a particle) at a given moment in time.
To calculate the initial position of the runner up, we use the fomula below.
Formula:
d = vt-D.......... Equation 1Where:
d = Initial position of the runner upv = Velocity of the runner upt = TimeD = Final position of the runner upFrom the question,
Given:
v = 2.5 m/st = 320 sD = 1000 mSubstitute these values into equation 1
d = (2.5×320)-1000d = 800-1000d = -200 mThe position of the runner up is -200 m.
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yo can anyone just report this cause I accidentally mean it a question, thxxx
Answers
The correct answer is 12x+7 as when you multiply these two numbers they cancel each other out
Name two types of natural disasters that often occur at plate boundaries
Answers
Answer:
Earthquakes and tsunamis
What's the difference between a physical change and chemical change? in a quick, short and easy response please!
Answers
Chemical changes the color and everything like it becomes different.
Examples for physical change would be cutting a lemon because it’s not changing colors or chemically anything. And chemical would be photosynthesis turning radiant energy into chemical energy.
a gantt chart is a basic scheduling tool that works best for high-volume systems. T/F
Answers
Answer:
The answer is True!
If the electric field at a certain point is zero, then the electric potential at that point
a) must be zero.
b) must be positive.
c) must be negative.
d) We cannot tell what the potential is from the given information.
Answers
The correct option is :d) We cannot tell what the potential is from the given information.
The electric field and electric potential are related, but they are not the same thing.
The electric field (E) is a vector quantity that describes the force experienced by a charged particle at a given point in space.
The electric potential (V), on the other hand, is a scalar quantity that represents the electric potential energy per unit charge at a given point.
The relationship between electric field and electric potential is given by the equation: E = -∇V, where ∇ denotes the gradient operator.
This means that the electric field is the negative gradient of the electric potential. If the electric field at a certain point is zero, it means that the gradient of the electric potential at that point is also zero.
However, knowing that the gradient of the electric potential is zero does not provide information about the actual value of the potential at that point.
The potential could be zero, positive, or negative, depending on the specific distribution of charges in the vicinity.
To determine the electric potential at a point, we need additional information such as the charge distribution or boundary conditions.
In conclusion, if the electric field at a certain point is zero, we cannot determine the electric potential at that point without additional information.
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Making and disposing of synthetic materials affects the amount of natural resources that are available. It also can harm the environment. These problems may not affect us in our lifetime. Who will these problems affect?
Answers
Answer:
What I put- This will affect animals, the earth, and could affect future generations. Plastic also gets into the oceans causing sea creaters die by eating it.
Sample Answer- Problems that arise from the unavailability of natural resources and from environmental hazards will affect the generations that follow us.
Explanation:
Answer:
This will affect animals, the earth, and could affect future generations. Plastic also gets into the oceans causing sea creaters die by eating it.
Explanation:
A compressor for a jackhammer expands the air in the hammer’s cylinder at a constant pressure of 8.6 x 10^5 Pa. The increase in the cylinder’s volume is 4.0^5 x 10^-4 m^3. During the process, 9.5 J of energy is transferred out of the cylinder as heat.
A. What is the work done by the air
B. What is the change in the air’s internal energy
C. What type of ideal thermodynamic process does this approximate
Answers
A) The work done by the air is approximately 344 J.
B) The change in the air's internal energy is approximately -353.5 J.
C) The process of the air expanding in the cylinder at constant pressure and transferring heat out is known as an Isobaric process.
A) To calculate the work done by the air, we can use the formula:
Work = Pressure × Change in Volume
Given:
Pressure = 8.6 x 10^5 Pa
Change in Volume = 4.0 x 10^-4 m^3
Work = (8.6 x 10^5 Pa) × (4.0 x 10^-4 m^3)
Work = 3.44 x 10^2 J
Therefore, the work done by the air is approximately 344 J.
B. The change in the air's internal energy can be calculated using the first law of thermodynamics:
Change in Internal Energy = Heat Added - Work Done
Given:
Heat Added = -9.5 J (negative sign indicates heat transferred out of the cylinder)
Work Done = 344 J (from the previous calculation)
Change in Internal Energy = -9.5 J - 344 J
Change in Internal Energy = -353.5 J
Therefore, the change in the air's internal energy is approximately -353.5 J.
C. Based on the given information, the process of the air expanding in the cylinder at constant pressure and transferring heat out is known as an Isobaric process.
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Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due north with a speed of 7.00 m/s. The velocity of the ball relative to Mia is 3.40 m/s in a direction 30.0∘ * Incorrect; Try Again; 29 attempts remaining east of south. Part B What is the direction of the velocity of the ball relative to the ground? Express your answer in degrees. wo soccer players, Mia and Alice, are running as thice passes the ball to Mia. Mia is running due orth with a speed of 7.00 m/s. The velocity of the What is the magnitude of the velocity of the ball relative to the ground? all relative to Mia is 3.40 m/s in a direction 30.0∘ Express your answer with the appropriate units. iast of south. 16 Incorrect; Try Again; 29 attempts remaining Part 8 What is the direction of the velocity of the ball relative to the ground? Express your answer in degrees.
Answers
The direction of the velocity of the ball relative to the ground is 29.74°. The magnitude of the velocity of the ball relative to the ground is 7.78 m/s.
Given data:Soccer player Mia runs due north with a speed of 7.00 m/s.The velocity of the ball relative to Mia is 3.40 m/s in a direction 30.0° east of south.To find:
The direction of the velocity of the ball relative to the ground?Express your answer in degrees.
The velocity of the ball relative to the ground can be found by finding the resultant of the velocity of the ball relative to Mia and the velocity of Mia relative to the ground.
Let's consider the following:
The blue vector represents the velocity of Mia relative to the ground. The red vector represents the velocity of the ball relative to Mia.
The black vector represents the velocity of the ball relative to the ground.
Let's calculate the velocity of the ball relative to the ground:
First, we need to find the horizontal and vertical components of the velocity of the ball relative to Mia.
Using the Pythagorean theorem:
\(v² = u² + w²v = √(u² + w²)v = √(3.40 m/s)² + (7.00 m/s)²v = √(11.56 + 49)v = √60.56v = 7.78 m/s.\)
The horizontal component of velocity of the ball relative to Mia = 3.40 m/s * cos 30°= 2.95 m/s
The vertical component of velocity of the ball relative to Mia = 3.40 m/s * sin 30°= 1.70 m/s
Now, let's add the velocity of the ball relative to Mia and the velocity of Mia relative to the ground to find the velocity of the ball relative to the ground:
Let the direction of the velocity of the ball relative to the ground be θ.tan θ = Vertical component of velocity of the ball relative to the ground / Horizontal component of velocity of the ball relative to the ground
tan θ = 1.70 m/s / 2.95 m/stan
θ = 0.5767θ
= tan⁻¹(0.5767)θ
= 29.74°,
So, the direction of the velocity of the ball relative to the ground is 29.74°.
Hence, the direction of the velocity of the ball relative to the ground is 29.74°. The magnitude of the velocity of the ball relative to the ground is 7.78 m/s.
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What simple machine did you find the most useful in everyday life? Explain why.
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Simple machines are advantageous because they lessen labor requirements or enable people to undertake things that would otherwise be beyond their capacity.
What six simple machines can you recall?The airplane, wedge, screw, lever, pulley, and wheel-and-axle are the six most typical simple machines. They are made to change the direction or strength of the force (remember that work is equal to force times distance), which makes the task easier to complete.
Which basic machines are the most popular ones?Simple machines including the axle, wheel and axle, pulleys, inclined plane, screw, wedge, and lever are frequently utilized. Although simple machines may increase or decrease the forces which can be applied on them, they have no effect on the overall amount of work required to complete the activity.
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A 3600-n force causes a car to accelerate at a rate of 4m/s2. what is the mass of the car?
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Answer:
N~ f fric m 1~g The acceleration of the car can be calculated using v2 f v 2 i = 2a x a = v2 2 x = (72000 3600) 2 2 30 = 6:67m=s2 On the other hand, Projecting 2nd Law on the y-axis gives N=mg; For the book to slide o the seat, acceleration should overcome frction: f s < ma sN < ma smg < ma s = 0:650 < a g = 6:67 9:81 = 0:68
Explanation: