The direction of the car's angular momentum is vertically downward towards the center of the turn. The speed of the car is 23.6 m/s. The magnitude of the car's angular momentum about the center of the turn, once it's exited the turn and is on a straight stretch of the road is 5.07 x 10⁶ kg·m/s.
Part A:What is the direction of the car's angular momentum
The direction of the car's angular momentum is vertically downward towards the center of the turn.Let the direction of the angular momentum be the z-axis (perpendicular to the horizontal plane) since the car is turning leftward, its velocity is directed towards the center of the turn, and so its angular momentum is directed towards the bottom.
Part B:What is the speed of the car?
The formula for angular momentum is given by:L = I ωwhereL is the angular momentum, I is the moment of inertia, and ω is the angular velocity.Since the car is a point particle, its moment of inertia is given by:
I = MR2where M is the mass of the car and R is the radius of the turn.
The angular velocity can be determined using the speed and the radius of the turn.ω = v/R
We can write the expression for angular momentum as:L = MR2(v/R)R = MvR
The magnitude of angular momentum is given as:L = 2.46 x 10⁶ kg·m/sMass of the car, M = 1550 kg
Radius of the turn, R = 145 m
Substituting the values in the above equation:2.46 x 10⁶ kg·m/s = 1550 kg × v × 145 mv = 23.6 m/s
Part C:What is the magnitude of the car's angular momentum about the center of the turn, once it's exited the turn and is on a straight stretch of the road Once the car is on the straight stretch of the road, there is no centripetal force acting on it. Therefore, it will move in a straight line with a constant speed. Since there is no force acting on the car perpendicular to its motion, the angular momentum will remain constant since torque is zero.
After the car exits the turn, the magnitude of the angular momentum remains constant:
Lfinal = MRv where M is the mass of the car, R is the radius of the turn, and v is the speed of the car.Lfinal = (1550 kg)(145 m)(23.6 m/s)Lfinal = 5.07 x 10⁶ kg·m/s
Therefore, the magnitude of the car's angular momentum about the center of the turn, once it's exited the turn and is on a straight stretch of the road is 5.07 x 10⁶ kg·m/s.
In conclusion, the direction of the car's angular momentum is vertically downward towards the center of the turn. The speed of the car is 23.6 m/s. The magnitude of the car's angular momentum about the center of the turn, once it's exited the turn and is on a straight stretch of the road is 5.07 x 10⁶ kg·m/s.
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Which elements are created by each star? Blue Giants (use \( >10 \mathrm{M}_{\mathrm{S}} \) )
Blue giants are very massive stars, with masses of 10 to 30 times that of the Sun. They burn through their hydrogen fuel very quickly, lasting only a few million years.
During this time, they create a variety of heavier elements, including carbon, oxygen, neon, magnesium, and silicon.
When a blue giant dies, it can explode in a supernova, which releases even heavier elements into space. These elements can then be incorporated into new stars and planets, helping to create the building blocks of life.
Here is a table of some of the elements that are created by blue giants:
Element Atomic Number Created in Blue Giants
Carbon 6 Yes
Oxygen 8 Yes
Neon 10 Yes
Magnesium 12 Yes
Silicon 14 Yes
It is important to note that the exact amount of each element that is created by a blue giant depends on its mass and its evolutionary stage. More massive blue giants will create heavier elements.
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A microphone is attached to a spring that is suspended from the ceiling, as the drawing indicates. Directly below on the floor is a stationary 375-Hz source of sound. The microphone vibrates up and down in simple harmonic motion with a period of 1.80 s. The difference between the maximum and minimum sound frequencies detected by the microphone is 2.75 Hz. Ignoring any reflections of sound in the room and using 343 m/s for the speed of sound, determine the amplitude (in m) of the simple harmonic motion.
Answer:
\(0.361\ \text{m}\)
Explanation:
\(f_s\) = Frequency of source = 375 Hz
\(\Delta f\) = Difference between the maximum and minimum sound frequencies = 2.75 Hz
v = Speed of sound in air = 343 m/s
T = Time period = 1.8 s
\(v_m\) = Maximum speed of the microphone
We have the relation
\(\Delta f=2f_s\dfrac{v_m}{v}\\\Rightarrow v_m=\dfrac{\Delta fv}{2f_s}\\\Rightarrow v_m=\dfrac{2.75\times 343}{2\times 375}\\\Rightarrow v_m=1.26\ \text{m/s}\)
Amplitude is given by
\(A=\dfrac{v_mT}{2\pi}\\\Rightarrow A=\dfrac{1.26\times 1.8}{2\pi}\\\Rightarrow A=0.361\ \text{m}\)
The amplitude of the simple harmonic motion is \(0.361\ \text{m}\).
In which of these can plasma be
found?
lightning
neon signs
microwave ovens
all of these
Answer:
The sun and other stars consist of plasma. Plasma is also found naturally in lightning and the northern and southern lights. Human-made plasma is found in fluorescent lights, plasma TV screens, and plasma spheres
Explanation:
hope this helps if so mark me brainliest <3
A stationary boat accelerates to 90km/hr over 1km.What is the time it takes to do this?
The time taken by the boat to accelerate from zero to 90 km/hr over 1 km is 11.11 seconds, and the acceleration is 8.1 m/s2.
The problem has provided the initial speed of the boat as zero, and the final speed as 90 km/hr.
We need to find the time taken by the boat to accelerate from zero to 90 km/hr over 1 km.
We can use the formula of acceleration to solve this problem.
The formula is:
v = u + at
where, v is the final velocity
u is the initial velocity
a is the acceleration
t is the time taken
From the above formula, we can write:
90 = 0 + a * t
where acceleration is a, and time taken is t.
Therefore, a * t = 90...…..(1)
The boat has traveled 1 km, which is 1000 m.
We can use the formula of average speed to calculate acceleration.
The formula is:
v = d / t
where, v is the speed
d is the distance traveled
t is the time taken.
We can write this formula as:
t = d / v,
where distance traveled is d, and the speed is v.
Substituting the values in the above equation, we get:
t = 1000 / 90t = 11.11 seconds.
From equation 1, we get a = 90 / t,
substituting the value of t, we get:
a = 90 / 11.11
a = 8.1 m/s2
Therefore, the time taken by the boat to accelerate from zero to 90 km/hr over 1 km is 11.11 seconds, and the acceleration is 8.1 m/s2.
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Name some minerals used as gems.
Answer:
Minerals to Gemstones
Mineral Name Gemstone Name
Beryl Aquamarine, Beryl, Bixbite, Emerald, Goshenite, Heliodore, Morganite
Brazilianite Brazilianite
Chalcedony Agate, Aventurine, Bloodstone, Carnelian, Chrysoprase, Heliotrope, Jasper, Onyx, Sard
Chrysoberyl Alexandrite, Chrysoberyl
A 18 g ball is swung at a 1m long string.It revolves every 1 s,what is the magnitude of swing's tension?
Answer:
The magnitude of swing's tension is 0.71 N.
Explanation:
Given;
mass of the ball, m = 18 g = 0.018 kg
angular speed of the ball, ω = 1 rev/s
radius of the motion, r = 1 m
Angular speed in rad/s is calculated as follows;
\(\omega = \frac{2\pi \ rad}{rev} \times \frac{1 \ rev}{s} \\\\\omega = 2 \pi \ rad/s\)
Linear speed of the ball, v;
v = ωr
v = 2π x 1
v = 2π m/s
The magnitude of swing's tension is calculated as the centripetal force keeping the ball in circular motion.
\(F_c =T = \frac{mv^2}{r} \\\\T= \frac{0.018 \ \times (2\pi )^2}{1} \\\\T = 0.71 \ N\)
Therefore, the magnitude of swing's tension is 0.71 N.
what is the charge of a newly formed oxygen ion
The charge of a newly formed oxygen ion would be -2
Hope this helps :)
Eva twirls a stone attached to a string 2.0 meters long in a horizontal circle. At what speed must the stone move for its centripetal acceleration to be equal to the acceleration due to gravity (9.8 m/s^2)? Round your answer to the nearest tenth. m/s
Answer:
4.43m/s
Explanation:
The centripetal acceleration is expressed as;
a = v²/r
v is the speed
r is the radius = 2.0m
centripetal acceleration = 9.8m/s²
Get the speed v;
v² = ar
v² = 2.0 * 9.8
v²= 19.6
v = √19.6
v = 4.43m/s
Hence the speed of the stone must be 4.43m/s
help it's for my civics class
ANSWER: D. Rule of Law
is the answer
d. rule of law
rule of law .
Please help ASAP 35 points and brainly if u get it right please
Answer:
first one down second one up
Explanation:
Arthur conducts a controlled experiment several times. The results of each test show that his hypothesis is not supported. Which of these best describes why
this hypothesis is still valuable?
Hello. You did not inform the experiment that Arthur is conducting, which makes it impossible for your question to be answered accurately. However, I will try to help you in the best possible way.
The hypothesis is an assumption that is made before the experiment is carried out. This hypothesis is formed with the observation of some phenomenon of nature where the researcher believes that two or more elements interact to form a result. In this case, the experiment is carried out to determine whether the assumption, that is, the hypothesis is false or true. In the event that an experiment determines that the hypothesis is false, two things may have occurred: (a) the experiment was set up, or analyzed incorrectly, (b) the elements tested have no relation to the observed phenomenon.
what percentage of time does an elliptical orbit spend at a distance greater than its semimajor axis
The orbiting body spends 25% of its time at a distance greater than the semimajor axis
In an elliptical orbit, the distance between the orbiting body and the central body varies with time. The semimajor axis is the longest distance between the two bodies, and it is also the average distance over one orbit.
The formula gives the length of an elliptical orbit:
L = 2πa√(1 - e^2)
in where e denotes the orbit's eccentricity and a denotes the semimajor axis. A circle has an eccentricity of 0, while an ellipse has an eccentricity of 1. (a parabola).
These are the formulas for the percentage of the orbit that is located on one side of the semimajor axis:
f = (1 - e) / 2
Therefore, the percentage of time that the orbiting body spends at a distance greater than the semimajor axis is:
100% x f = 100% x (1 - e) / 2
For example, if the eccentricity is 0.5, then the orbiting body spends 25% of its time at a distance greater than the semimajor axis:
100% x (1 - 0.5) / 2 = 25%
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a negative particle is near a stationary negative charge. is the potential energy of the negative particle positive or negative? responses
The potential energy of the negative particle would be negative in this scenario. This is because the potential energy is a measure of the work that is done in moving a charged particle from one location to another in the presence of an electric field.
In this case, since both particles have negative charges, they will repel each other and the electric field between them is also repulsive.
As a result, it would require work to bring the negative particle closer to the stationary negative charge, and this work would be negative because it is being done against the repulsive electric field.
Therefore, the potential energy of the negative particle would be negative because it represents the amount of work that would be done by the electric field if the negative particle were to move from its current position to the position of the stationary negative charge.
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A rocket weighing 300,000 N is taking off from Earth with a total thrust of
460,000 N at an angle of 20 degrees, as shown in the image below. What is
the approximate vertical component of the net force that is moving the rocket
away from Earth?
Explanation:
vertical force = 460,000 * sin(70) - 300,000
Fv = 187,717.75N
what are groups of periodic table
Explanation:
there are 8 groups of the periodic table
group number one is of the alkali metals
group number two use of the alkaline Earth metals
group number three is known as group (III)
group number for is known as group IV
group number V is known as group V group number six is known as group VI
group number seven is known as halogens
and group number eight is of the noble gases
the periodic table does not have 18 groups as the elements between group III and group IV all known as the transition metals.
In a car crash, things like crumple zones and air bags help by doing what?
Entry field with correct answer
Reducing the energy of the collision
Reducing the momentum of the collision
Increasing the time of the collision
Increasing the force of the collision
In a car crash, things like crumple zones and air bags help by doing Reducing the momentum of the collision. Hence option B is correct.
because of crash peoples inside the car gets forced towards forward and they get impact on their body. when there is air bag in the car, When a car crashes, air bag gets swelled due to impact on crumble zone. Due to impact people forced forward inside the car and they gets collide on the swelled air bag where air bag reduces peoples momentum inside the bag. the force of impact gets absorbed by the air bag and people have less impact on their body.
hence option B is correct.
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What is the period of a wave that has a frequency of 30 Hz?
A. 0.3s
B. 0.03 s
C. 30 s
D. 35
Answer:
0.03s
Explanation:
Period of wave and its frequency are closely related. Period is the inverse of frequency.
The period of a wave is the time taken for a number of waves to pass through a particular point.
The frequency of a wave is the number of waves that passes through a point at a particular time.
So;
f = \(\frac{1}{T}\)
f is the frequency
T is the period
Period of the wave = \(\frac{1}{30}\) = 0.03s
Answer:
a
Explanation:
What is induced by a changing electric field? what is induced by a changing electric field? a constant magnetic field a changing magnetic field a gravitational field electrical potential energy
A changing electric field is induced by changing magnetic field.
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. Electric charges in motion create magnetic fields. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field. Tesla is the magnetic field intensity unit in the International System (SI) (T). The region around a magnet where the magnetic force manifests itself is known as the magnetic field. Electrical charges can move and create magnetic fields.
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kinetic energy is the force that needs to be dissipated in a collision. T/F?
kinetic energy is the force that needs to be dissipated in a collision. The following statement is False.
Kinetic energy is not a force; it is a form of energy associated with the motion of an object. In a collision, kinetic energy is not the force that needs to be dissipated but rather a quantity that can be transferred or transformed during the collision. During a collision, forces act on the objects involved, causing them to change their motion. These forces can come from external sources or be generated internally due to interactions between the objects. The forces involved in a collision are responsible for altering the objects' velocities and momentum. Kinetic energy is related to the mass and velocity of an object and can be calculated using the equation:
Kinetic energy = (1/2) × mass × velocity^2
In a collision, the total kinetic energy of the system might change. Some collisions result in a transfer or transformation of kinetic energy between the objects involved, while in other cases, the total kinetic energy is conserved. The forces involved in a collision determine how the kinetic energy is distributed or dissipated. Energy can be transferred into other forms, such as heat, sound, or deformation of the objects involved, depending on the nature of the collision and the materials of the objects.
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How does a resistor affect an electrical circuit?
Answer:
D
Explanation:
Answer:
D.
It reduces the rate at which electrons flow.
The gravitational field strength on Earth is 10 N/kg. What is the gravitational potential energy of a 5 kg mass raised to a height of 3m?
PLEASE HELPP
Answer:
The gravitational potential energy is 150J
Explanation:
P. E=mgh
=5*10*3
With modulus of elasticity, MoE - 7,920 N/mm2 at 12% mo, what would be the expected MoE at 23% mc? Assume FSP = 30 % Give your answer in N/mm² to the nearest whole number.
to find the modulus of elasticity MoE at 23% of moisture content based on the already given modulus of elasticity of 12% moisture content we need to consider a shrinkage behavior of material. the expected MoE comes out to be approximately \(6,836 N/mm².\)
given information:
Modulus of elasticity at 12% moisture content =7,920 N/mm²
resultant shrinkage or final shrinkage percentage FSP = 30%
To calculate the expected MoE at 23% moisture content we have the following equation:
MoE-23% = \(MoE-12%\) \((1 - FSP (23 - 12) / (100 - 12))\)
MoE-23% = \(7,920 N/mm² × (1 - 0.30 × (23 - 12) / (100 - 12))\)
MoE-23% =\(7,920 N/mm² × (1 - 0.30 × 11 / 88)\)
MoE-23% = \(7,920 N/mm² × (1 - 0.1364)\)
MoE-23% = \(7,920 N/mm² × 0.8636\)
MoE-23% = \(6,836 N/mm²\)
therefore the expected modulus of elasticity at 23% moisture content comes out to be approx \(6,836 N/mm²\).
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To the proper number of significant figures, what is the solution to calculation below?
(165.43 g-78.15 g) × 4.184 Jg^(-1) K^(-1) x (297.6 K-292.8 K)=
The solution to the calculation, rounded to the proper number of significant figures, is approximately 1654 J.
To find the solution to the calculation, we need to follow the rules of significant figures and perform the arithmetic operations step by step.
Subtract the given masses: (165.43 g - 78.15 g) = 87.28 g.
Calculate the temperature difference: (297.6 K - 292.8 K) = 4.8 K.
Multiply the mass difference by the specific heat capacity and the temperature difference:
(87.28 g) × (4.184 Jg^(-1) K^(-1)) × (4.8 K) = 1653.71776 J.
Round the result to the proper number of significant figures based on the given values.
The given values have the following significant figures:
165.43 g has 5 significant figures.
78.15 g has 4 significant figures.
4.184 Jg^(-1) K^(-1) has 4 significant figures.
297.6 K has 4 significant figures.
292.8 K has 4 significant figures.
Since we are multiplying and dividing, the result should have the same number of significant figures as the value with the fewest significant figures, which is 4.
Round the result to 4 significant figures: 1653.71776 J ≈ 1654 J.
Therefore, the solution to the calculation, rounded to the proper number of significant figures, is approximately 1654 J.
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What is the maximum speed at which a car can safely travel around a circular track of radius 142 meters if the coefficient of friction between the tires and the road is 1.07? Include units in your answer. Answer must be in 3 significant digits.
Given that the radius of the circular path is r = 142 m and the coefficient of the friction is
\(\mu=1.07\)The condition for the car to travel safely is
Frictional force = centrifugal force
\(\mu mg=\frac{mv^2}{r}\)Here, m is the mass of the car and the acceleration due to gravity is g = 9.8 m/s^2.
v is the maximum speed of the car.
\(\begin{gathered} v=\sqrt[]{ugr} \\ =\sqrt[]{1.07\times9.8\times142} \\ =38.58\text{ m/s} \end{gathered}\)if 22.0 kg of ice at 0.00 °c is combined with 4.80 kg of water vapor at 100.0 °c, what will be the final equilibrium temperature (in °c) of the system
The final equilibrium temperature (in °C) of the system when ice and water vapor are combined can be calculated using the principle of energy conservation and the specific heat capacities of ice and water.
To determine the final temperature, we can apply the equation:
(m₁ * c₁ * ΔT₁) + (m₂ * c₂ * ΔT₂) = 0
Where:
- m₁ is the mass of ice (22.0 kg)
- c₁ is the specific heat capacity of ice (2.09 J/g·°C)
- ΔT₁ is the change in temperature of ice (final temperature - 0.00 °C)
- m₂ is the mass of water vapor (4.80 kg)
- c₂ is the specific heat capacity of water (4.18 J/g·°C)
- ΔT₂ is the change in temperature of water (final temperature - 100.0 °C)
Solving for the final temperature, we find:
(22.0 kg * 2.09 J/g·°C * ΔT₁) + (4.80 kg * 4.18 J/g·°C * ΔT₂) = 0
Substituting the given values, we can solve for ΔT₁ and ΔT₂. Once we have those values, we can find the final temperature by adding ΔT₁ to 0.00 °C.
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The relationship between the equilibrant and the resultant vector is *
the equilibrant is equal in magnitude and in diredction
the equilibrant is equal in magnitude but opposite in direction
the equilibrant is different in magnitude and in direction
the equilibrant is different in magnitude but opposite in direction
Answer:
the equilibrant is equal in magnitude but opposite in direction.
Explanation:
In vector algebra, a resultant vector is a single vector that have the same effect as the effect of the net or algebraic sum of two or more vectors.
A resultant vector arises from finding the adding multiple vectors together.
When a group of vectors is replaced by a resultant vector, in order to keep the system of vectors at equilibrium, there is another vector which has the same magnitude as the resultant vector but acting in opposite direction to the resultant vector. This vector is called the equilibrant.
to an observer in new york state the duration of daylight increases continuously from
To an observer in New York State, the duration of daylight increases continuously from the winter solstice in December until the summer solstice in June.
After the winter solstice, which is the shortest day of the year, the days gradually become longer as we move towards spring and the equinoxes in March and September, day and night are roughly equal in length. Following the spring equinox, the daylight hours become longer than the nighttime hours, resulting in a gradual increase in the duration of daylight. This continues until the summer solstice in June, which marks the longest day of the year.
It's important to note that while the overall trend is an increase in daylight duration, the rate of change varies throughout the year. During the transition seasons of spring and autumn, the rate of change is more balanced, while the rate of change is steeper around the solstices. This creates the distinct seasons and varying lengths of daylight experienced in New York State.
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a 65.0-kg boy and 40.0-kg girl, both wearing skates, face each other at rest on a skating rink. the boy pushes the girl, sending her eastward with a speed of 4.00 m/s. describe the subsequent motion of the boy.
6.5 m/s is the velocity of the boy when a 65.0-kg boy and 40.0-kg girl, both wearing skates, face each other at rest on a skating rink.
Mass of the boy, = 65kg
girl's mass given , = 40 kg
Final velocity of the girl , = -4.00 m/s
By law of conservation of momentum
\(m_bv_ib+m_gv_ig=m_bv_fb+m_gv_fg\)
\(0=65kg(-4.0m/s)+40kgv_fg\)
\(v_fg=6.5m/s\)
When a body is travelling in a straight line, its velocity is the "rate of change of displacement with relation to time."Because it always has a direction, velocity is a vector. As a result, when the displacement to time ratio for linear velocity is determined, it provides both the direction and the magnitude.
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A ____ is believed to occur when energy, stored in a twist in the solar magnetic field above a sunspot, is suddenly released.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
A solar flare is believed to occur when energy, stored in a twist in the solar magnetic field above a sunspot, is suddenly released.
this chapter considers a downhill race between a rolling sphere, a rolling cylinder, a rolling hoop, and a sliding particle. who wins?
According to the assertion, the sliding particle will dominate the downhill race between the rolling sphere, rolling cylinder, rolling hoop, and sliding particle.
What is sliding friction, exactly?Sliding friction is the resistance that any two items produce as they slide against one another. This friction, sometimes referred to as kinetic friction, is the force required to keep one surface moving along another.
Briefing : A sphere, a cylinder, and a hoop, all of mass M and radius R, are released from rest and roll down a ramp of height h and slopeθ. They are joined by a particle of mass M that slides down the ramp without friction.
for particle c = 0 where c is a constant that depends upon the object .
a=a (particle), rolling sphere c=2/5, a (cm) = 5/7a (particle) =0.71a (particle)
rolling cylinder ,c=1/2 ,a(cm)=2/3a (particle) =0.67a (particle), rolling hoop =0.50a (particle).
then we have ¹/₂ I cm ω² ₊¹/₂ Mv cm²=Mgh
ω=Vcm/R , Icm = cMR² where c is a constant that depends upon the object .
Mgh= ¹/₂(cMR²)(Vcm/R )+¹/₂M v cm² , therefore v cm =\(\sqrt2gh/\sqrt\ (1+c)\)
therefore , v(particle)>v(sphere)>v(cylinder)>v(hoop)
and a (particle)>a(sphere)>a(cylinder)>a(hoop).
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