The magnitude of the vector is approximately 0.649 kN.
The given values are the x- and y-components of the vector. To calculate the magnitude of the vector, we will use the Pythagorean theorem.
In a two-dimensional space, the Pythagorean theorem can be used to determine the length of a vector or the distance between two points.
The Pythagorean theorem formula is given as follows:`c² = a² + b²`where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
We can apply this formula to our vector to calculate its magnitude. The x- and y-components of the vector are +0.250 kN and −0.600 kN, respectively.
The Pythagorean theorem can be used to calculate the magnitude of the vector as follows:\(`c² = a² + b²``c² = (0.250 kN)² + (-0.600 kN)²``c² = 0.0625 kN² + 0.36 kN²``c² = 0.4225 kN²`\)Taking the square root of both sides, we get:\(`c = sqrt(0.4225 kN²)`.\)
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two pendula are set up so that they just touch when at their lowest position. the pendulum on the left is made from a bowling ball with mass and is released from a height of above its lowest position. it swings down and collides elastically with the second pendulum initially at rest made from a golf ball with mass . what is the approximate maximum height that the golf ball reaches after the collision?
To answer your question, we need to use the conservation of momentum and conservation of energy principles. Since the collision between the two pendula is elastic, the total momentum and total energy before and after the collision remains the same.
Let's assume that the initial velocity of the bowling ball pendulum is v and the final velocity of both pendula after the collision is v'. According to conservation of momentum,
(m_bowlingball * v) = (m_bowlingball * v') + (m_golfball * v')
where m_bowlingball and m_golfball are the masses of the bowling ball and golf ball pendula respectively.
Similarly, using conservation of energy,
(1/2 * m_bowlingball * v^2) = (1/2 * m_bowlingball * v'^2) + (1/2 * m_golfball * v'^2) + m_golfball * g * h
where g is the acceleration due to gravity and h is the maximum height reached by the golf ball after the collision.
Solving these two equations for v' and h, we get:
v' = (m_bowlingball - m_golfball)/(m_bowlingball + m_golfball) * v
h = (m_bowlingball^2/(m_bowlingball + m_golfball)^2) * (v^2/2g)
Substituting the values given in the problem, we get:
v' = (16/21) * v
h = (256/441) * (v^2/2g)
Therefore, the approximate maximum height that the golf ball reaches after the collision is (256/441) * (v^2/2g), which is approximately 0.58 times the height from which the bowling ball was released.
Note: The exact height reached by the golf ball may vary slightly due to friction and air resistance.
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PLZZ ANSWER THE QUESTION
Answer:
a
Explanation:
Please Please Please help on these 3 questions :) 20 POINTS!! - NO LINKS PLEASE
What are the forces applied to a catapult while it's on the ground?
What forces are applied to the catapult itself?
What forces are applied to the marshmallow (object being launched)?
Please answer them all to get Brainliest!!
Answer:
Catapult on the ground: Normal, gravity
Catapult (I'm assuming launching marshmallow): Reaction of Force Applied
Marshmallow: Force Applied
Explanation:
This is the forces that act on a stationary object and a launched object. The catapult may also experience a force friction if your teacher is taking a more practical sense.
What would happen to the boiling point of water at 8000 m above sea level where air pressure is lower
Answer:
As altitude increases and atmospheric pressure decreases, the boiling point of water decreases.
there was once a crab name mr crabs who had to go to the docter one day . mr crabs is a an animal in the ____ phylum which was not surpising since he has 10 jointed legs
there was once a crab name mr crabs who had to go to the docter one day . mr crabs is a an animal in the arthropods phylum which was not surpising since he has 10 jointed legs
What five classes make up the phylum Arthropoda?Traditional classifications of arthropods place them in the Trilobitomorpha (Trilobites), Chelicerata, Crustacea, Myriapoda, and Hexapoda subphyla.
Arthropod species make up more than 80% of all known extant animal species, with estimates ranging from 170,000 to 5–10 million.
On Earth, arthropods are regarded as the most successful creatures.
Arthropods, however, are also in charge of a number of helpful human functions, including crop pollination, honey production, devouring or parasitizing insect pests, garbage decomposition, and serving as food for various birds, fish, and mammals. Beneficial arthropods flourish in agricultural areas.
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What is Newton's third law of motion? Give an example.
Answer: Examples of Newton's third law of motion are ubiquitous in everyday life. For example, when you jump, your legs apply a force to the ground, and the ground applies and equal and opposite reaction force that propels you into the air. Engineers apply Newton's third law when designing rockets and other projectile devices.
Explanation: hope this helps :)
Which of the following shows the relationship between work and energy?
O A. Work = total energy
B. Work = gravitational potential energy
C. Work = change in kinetic energy
D. Work = change in nonconservative forces
If 1 kg = 1000g, 3 kg is
Answer:
3000g
hope this helps<3
How does the Doppler effect cause a siren's pitch to increase as it
approaches you?
O A. Sound waves are spread out, decreasing wavelength and
increasing frequency.
B. Sound waves are spread out, increasing wavelength and
decreasing frequency.
O C. Sound waves are pushed closer together, increasing wavelength
and decreasing frequency.
D. Sound waves are pushed closer together, decreasing wavelength
and increasing frequency.
Answer:
C
Explanation:
Because I said so
When a sound source approaches us, it sounds like more pushed towards the observer with a decreased wavelength and increasing frequency. As its frequency increases, its energy and intensity increases.
What is Doppler effect ?A wave's frequency changes in response to an observer moving in respect to the wave source, which is known as the Doppler effect or Doppler shift.
The apparent pitch increases as one gets closer to a blowing horn until they reach it, then decreases as they pass it. This is an example of the Doppler effect.
Similar to how a star's light changes as seen from earth by moving toward the red end of the spectrum that is lower frequency or longer wavelength when the Earth and star are moving apart, and toward the violet end of the spectrum when they are drawing nearer. Therefore, option D is correct.
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A car of mass 900 Kg is moving with a velocity of 10 m/s. It is brought to rest at 25 m distance by applying the brakes. Calculate the acceleration. Why is it negative? How much force is required to stop the car?
Answer:
Assumption: the acceleration of this vehicle is constant until it comes to a stop.
Acceleration: \((-2)\; \rm m\cdot s^{-2}\).
The acceleration of this vehicle is negative because the velocity of this vehicle is decreasing over time.
Explanation:
Let \(u\) denote the initial velocity of this vehicle. \(u = 10\; \rm m\cdot s^{-1}\).Let \(v\) denote the final velocity of this vehicle. \(v = 0\; \rm m\cdot s^{-1}\) as the vehicle has come to a stop.Let \(x\) denote the displacement of this vehicle. \(x = 25\; \rm m\).Let \(a\) denote the acceleration of this vehicle. The value of \(a\!\) needs to be found.Assume that the acceleration of this vehicle, \(a\), is constant. The SUVAT equations would apply.
The time \(t\) required for braking is neither given nor required. Hence, make use of the SUVAT equation \(v^{2} - u^{2} = 2\, a\, x\) to relate \(u\), \(v\), \(a\), and \(x\!\).
Rearrange this equation to find an expression for \(a\), the acceleration of this vehicle:
\(\begin{aligned}a &= \frac{v^{2} - u^{2}}{2\, x} \\ &= \frac{(0\; \rm m\cdot s^{-1})^{2} - (10\; \rm m \cdot s^{-1})^{2}}{2\times (25\; \rm m)} \\ &= \frac{0^{2} - 10^{2}}{2 \times 25}\; \rm m \cdot s^{-2} \\ &= -2\; \rm m\cdot s^{-2}\end{aligned}\).
When the rate of change of a value is greater than \(0\), that value would become larger over time.When the rate of change of a value is equal to \(0\), that value would be constant.When the rate of change of a value is smaller than \(0\), that value would become smaller over time.
Acceleration is the rate at which velocity changes over time.
The velocity of the vehicle in this question is getting smaller over time. Hence, the rate of change of the velocity of this vehicle (that is, the acceleration of this vehicle) would be a negative number.
A 16-year-old employee working for Southern Virginia College's (SVC) bookstore during the summer months is helping prepare for Fall sales. It's a good way to make extra money, and the teen is saving for a car.
Books from one supplier are shipped to the SVC bookstore in large crates equipped with rope handles on all sides. On one occasion, the teen momentarily pulled with a force of 713 N at an angle of 35.8° above the horizontal to accelerate a 114-kg crate of books. The coefficient of friction between the crates and the vinyl floor is 0.541.
Determine the acceleration experienced by the crate in m/s2. Use the approximation g ≈ 10 m/s2.
Answer: ___________ m/s2 (rounded to the hundredths or thousandths place)
The acceleration experienced by the crate is approximately 0.844 m/s
How to solve for the accelerationWeight of the crate:
Weight = mass × acceleration due to gravity
Weight = 114 kg × 10 m/s^2
Weight = 1140 N
Force of friction:
Force of Friction = coefficient of friction × normal force
Force of Friction = 0.541 × 1140 N
Force of Friction ≈ 616.74 N
Net force:
Net Force = Applied Force - Force of Friction
Net Force = 713 N - 616.74 N
Net Force ≈ 96.26 N
Acceleration:
Acceleration = Net Force / mass
Acceleration = 96.26 N / 114 kg
Acceleration ≈ 0.844 m/s
Therefore, the acceleration experienced by the crate is approximately 0.844 m/s
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PLEASE HELP!
Fill in the blank.
Bubbles in glacial ice preserve samples of the ancient atmosphere as far back as ____ years ago, and the chemical composition of glacial ice contains information about ancient temperatures.
Question 1 options:
1 million
800,000
400,000
100,000
Answer:
The answer should be 650,000 years
Explanation:
The air bubbles are extracted by melting, crushing or grating the ice in a vacuum. This method provides detailed records of carbon dioxide, methane and nitrous oxide going back over 650,000 years[6].
Answer:
800,00 im currently taking this quiz i hope its right
Explanation:
what is the greatest distance you can be from base camp at the end of the third displacement regardless of direction
To determine the greatest distance you can be from the base camp at the end of the third displacement, regardless of direction, we need more specific information about the magnitudes and directions of the displacements.
Displacement is a vector quantity that has both magnitude and direction. The distance covered during multiple displacements depends on the individual magnitudes and directions of each displacement. Without specific values, it is not possible to determine the exact greatest distance from the base camp.
If you provide the magnitudes and directions of the three displacements, I can help you calculate the total distance and determine the maximum possible distance from the base camp at the end of the third displacement.
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Help me how do you do this ?? ASAP HELPPPP
cant really answer here with text but at the top of the slide it should br positives and towards the bottom its negative.
This is because you go faster at the top of the slide than the bottom and when your at the bottom you slow down
3. We consider a conducting sphere of radius R consisting of two hemispheres. The upper hemisphere is kept at the potential V while the lower hemisphere is kept at the potential −V. We can use the Green function method to calculate the scalar potential ϕ. The Dirichlet Green function G p
(r,r ∗
) is given as follows: G D
(r,r ′
)= r 2
+r ′2
−2rr ′
cosγ
1
− r 2
r ′2
/R 2
+R 2
−2rr ′
cosγ
1
The r vector denotes the position of observation and the r ′
vector denotes the position of charges where γ is the angle between r and r ∗
. Using the above Green function. calculate the potential along the positive z-axis.
By integrating the given equation, we can find the potential ϕ as a function of z.
Let's consider a point P along the positive z-axis with coordinates (0, 0, z). To find the potential at point P, we integrate the Green function G_D(r, r') with respect to the charge distribution over the surface of the conducting sphere.
The potential ϕ at point P can be calculated using the following integral:
ϕ(P) = ∫∫ G_D(r, r') σ(r') dS
Here, σ(r') represents the charge density on the surface of the sphere, and dS represents the differential surface element.
Since we are interested in the potential along the positive z-axis, we can simplify the integral by considering the symmetry of the problem. Due to symmetry, the potential ϕ will only depend on the radial distance r from the z-axis. Thus, we can rewrite the integral as:
ϕ(P) = 2π∫ G_D(r, r') σ(r') r' dr'
Now, we need to express the charge density σ(r') in terms of the potential difference V and the radius R. The charge density on the upper hemisphere is V/(4πR^2), and on the lower hemisphere, it is -V/(4πR^2). Therefore, we can write:
ϕ(P) = (V/R^2) ∫ (r^2 + r'^2 - 2rr')/(r-r')^2 r' dr'
This integral can be evaluated using appropriate techniques of integration.
By integrating the above equation, we can find the potential ϕ as a function of z.
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What 3 factors should be considered when designing a lighting rod?
Explanation:
A lightning rod (US, AUS) If lightning hits the structure:-
It will preferentially strike the rod and be conducted to ground through a wire.
Instead of passing through the structure, where it could start a fire or cause electrocution.
The parts of a lightning protection system are air terminals (lightning rods or strike) and all of the connectors and supports to complete the system.
1. A car slows to a stop as it comes to a red light. Its
acceleration is -5 m/s² and stops after 2.3 seconds.
What was its initial velocity?
The initial velocity of the car as it slow to rest with an acceleration of -5 m/s² is 11.5 m/s.
What is velocity?
This can be defined as the ratio of displacement to the time of a body
To calculate the initial velocity of the car, we use the formula below.
Formula:
u = v-at........ Equation 1Where:
u = Initail velocityv = Final velocitya = Accelerationt = Time.From the question,
Given:
v = 0 m/sa = -5 m/s²t = 2.3 secondsSubstitute these values into equation 1
u = 0-(-5×2.3)u = 0+11.5u = 11.5 m/s.Hence the initial velocity of the car is 11.5 m/s
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1150 kg car is on a 8.70 degree hill. What’s the x component of the normal force
Answer:
The x - component of the normal force is equal to 1706.45 N.
Explanation:
To solve the problem, and since there is no additional information, we can safely assume that the x-axis is parallalel to the hill surface and the y-axis is perpendicular to the x-axis. Knowing that, we can calculate the components of the normal force (or weight for this case), using the following formulas:
\(N
x
=W∗Sin(α)=mg∗Sin(α)\)
\(N
y
=W∗Cos(α)=mg∗Cos(α)\)
Now, using the given information, we have:
\(mass=m=1150Kg\)
\(a=8.70\)
\(g=9.81 \frac{m}{ {s}^{2} } \)
Calculating, we have:
\(N_{x}=mg*Sin(\alpha)\)
\( \: \: \: \: \: \: \: \: \: N_{x}=1150Kg*9.81\frac{m}{s^{2}}*Sin(8.70\°)\)
\(N
x =11281.5
s
2
Kg.m
∗Sin(8.70\°) = \\ \\ 1706.45
s
2
Kg.m
=1706.45.23N\)
Hence, we have that the x-component of the normal force is equal to 1706.45 N.
Answer:
zero
Explanation:
fx=
Find the magnitude of this
vector:
Answer: = 25. 5 m
Explanation:
2-D vectors can be solved using the Pythagorean theorem: \(a^{2} +b^{2} =c^{2}\)The hypotenuse, or longest side is not given and that is what must be solved forDirection can be omitted as the question only asks for magnitudeMagnitude: is the distance or quantity in which an object moves during motionSolve for C using Pythagorean theorem:
1. \(\sqrt{a^{2}+b^{2} }=c\)
2. \(\sqrt{22.2 m ^{2} +12.6m^{2} } =c\)
3. \(25.52646 m= c\)
round to lowest number of significant digits when dividing and multiplyingrounded to 3 significant digits∴ Magnitude of the vector is 25.5 m
A discordant igneous intrusion
Select one:
a.
cuts across bedding planes.
b.
will consist dominantly of pyroclasts.
c.
parallels sedimentary rock layering.
d.
produces deadly explosions.
A discordant igneous intrusion cuts across bedding planes. Here is the detailed explanation of the given question:Explanation:The Discordant igneous intrusion is the formation of an igneous rock mass when magma is injected into a host rock and cools there.
This form of igneous intrusion does not conform to the stratification or layering of the existing rock mass because it cuts across it.Therefore, a discordant igneous intrusion cuts across bedding planes.Option (a) is correct. It is the only option that describes the features of discordant igneous intrusion. Hence, the correct answer is option (a).
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What is the potential difference between two points when a 65 C charge requires 250 J to move between the points?
Answer:
3.85 V
Explanation:
The potential difference between two points can be calculated using the following equation
\(V=\frac{E}{Q}\)Where E is the energy and Q is the charge. So, replacing E = 250 J and Q = 65 C, we get:
\(V=\frac{250J}{65C}=3.85\text{ V}\)Therefore, the potential difference is 3.85 V
What is the weight of an object a mass of 90.0kg?
Explanation:
it would be 198.4
you're welcoms
What is reflection very short answer?
When a shaft of light approaches a smooth polished face and the light shaft bounces back, it's called the reflection of light. The incident light shaft which lands upon the face is said to be reflected off the face. The shaft that bounces back is called the reflected shaft.
When light is reflected on a aeroplane face the angle of reflection is equal to the angle of prevalence i.e. θr = θi.
Angle of prevalence is the angle between the incident shaft and the reflecting face.
Angle of reflection
This is the angle between the reflected shaft and the normal shaft on a reflecting face.
Angle of reflection is analogous to angle of prevalence.
Thus, the reflection of light is the shaft that hits the face and reflects back to the atmosphere.
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can anyone help me with this , thank you
Answer:
1.) A
2.) B
4.) A
17.) B
Explanation:
Im sure tama ako nasagot kona
to ehh
Help out pls
Determine the force required to accelerate a 2-kilogram ball to an acceleration of 9.8 m/s2
Determine the acceleration of a 2-kilogram ball if a force of 25 newtons is applied
Answer:
Explanation:
F = ma = (2 kg)(9.8 m/s²) = 19.6 N
a = F/m = 25 N / 2 kg = 12.5 m/s²
A machine used in production has an effective capacity of 8,849
and a design capacity of 9,050. If the actual output is 7,407 what
is the efficiency for the machine?
The machine's efficiency is 81.61%, indicating that it converts 81.61% of the input energy into useful output energy, while the remaining percentage is lost as waste or dissipated in the process.
Determine the efficiency?To calculate the efficiency, we can use the formula:
Efficiency = (Actual Output / Design Capacity) × 100
Given:
Actual Output = 7,407
Design Capacity = 9,050
Substituting the values into the formula:
Efficiency = (7,407 / 9,050) × 100
= 0.817 × 100
= 81.61%
Therefore, the efficiency of the machine is 81.61%.
Efficiency is a measure of how effectively a machine or system is utilizing its available capacity. In this case, the machine has a design capacity of 9,050 units, but it only produced an actual output of 7,407 units.
By dividing the actual output by the design capacity and multiplying by 100, we find that the machine's efficiency is 81.61%. This indicates that the machine is operating at approximately 81.61% of its full capacity.
A higher efficiency percentage would indicate a more optimal utilization of the machine's capacity, while a lower percentage suggests room for improvement in maximizing output.
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The figure shows the position s of an object as a function of time t. Identify the intervals where the acceleration is positive. Consider only the intervals [0,10],[10,20],[20,30],[30,40], and [40,50] (Give your answer as an interval in the form (*,*). Use the symbol [infinity] for infinity, ∪ for combining intervals, and an appropriat type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Expres. numbers in exact form. Use symbolic notation and fractions where needed.)
To identify the intervals where the acceleration is positive, we need to examine the slope of the position-time graph since the slope represents the velocity, and the change in velocity over time gives us the acceleration.
About VelocityVelocity is a vector quantity that indicates how fast an object is moving. The magnitude of this vector is called speed and is expressed in meters per second. Velocity or speed: the quotient between the distance traveled and the time interval. Velocity or speed is a scalar quantity. Speed or velocity is the quotient of the displacement with the time interval. Speed or velocity is a vector quantity.
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analyze how international and domestic challeges the united states face between 1968 and 1974 and evaluate how president richard nixons admitration responed to them
The United States faced international and domestic challenges between 1968 and 1974, and President Richard Nixon's administration responded with a diplomatic initiatives, domestic policies, and political strategies.
What is political strategies?
Political strategies refer to deliberate plans and tactics employed by individuals, organizations, or political parties to achieve their goals within the realm of politics. These strategies involve navigating the complex landscape of political systems, influencing public opinion, gaining support, and achieving desired outcomes.
During this period, the United States confronted several significant challenges. Internationally, the ongoing Vietnam War dominated the agenda, with anti-war protests and public discontent growing. Nixon pursued a policy of Vietnamization, gradually withdrawing U.S. troops while increasing the responsibility of South Vietnamese forces.
Additionally, the United States faced tensions with the Soviet Union and China during the Cold War, and Nixon's administration employed a strategy of détente, seeking to improve relations and reduce tensions through diplomatic negotiations and arms control agreements.
Domestically, the country grappled with social unrest, racial tensions, and economic issues. The civil rights movement continued to advocate for equality, while urban areas experienced riots and protests.
Nixon pursued a policy of "law and order," emphasizing crime control and support for local law enforcement. Economically, the administration implemented measures such as wage and price controls to address inflation and attempted to stimulate economic growth.
Overall, Nixon's administration employed a combination of diplomatic efforts, domestic policies, and political strategies to address the challenges faced by the United States during this period. The effectiveness and consequences of these responses remain a topic of historical debate and analysis.
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Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 ft/s. It takes the driver of car A 0. 75 s to react (this is the normal reaction time for drivers). When he applies his brakes, I dece lerates at 15 ft/s. Determine the minimum distance d be tween the cars so as to avoid a collision
The minimum gap between the automobiles is 16.9 feet, according to the supplied statement, in order to prevent a collision.
In physics, now what you mean by distance?The size or extent of the displacement between two points is referred to as distance. Keep in mind that perhaps the difference between two and indeed the distance travelled between them are not the same. The length of the entire journey taken to go from one point to another is the distance travelled.
Briefing:For B;
\(\begin{aligned}(\rightarrow) \quad v & =v_0+a_c t \\v_B & =60-12 t \\(\rightrightarrows) & s=s_0+v_0 t+\frac{1}{2} a_c t^2 \\s_B & =d+60 t-\frac{1}{2}(12) t^2\end{aligned}\)
For A;
\(\begin{aligned}& (\stackrel{\rightarrow}{\rightarrow}) \quad v=v_0+a_c t \\& v_A=60-15(t-0.75), \quad[t > 0.75] \\& (\text { 土 }) \quad s=s_0+v_0 t+\frac{1}{2} a_c t^2 \\& \qquad s_A=60(0.75)+60(t-0.75)-\frac{1}{2}(15)(t-0.75)^2, \quad[t > 0.74]\end{aligned}\)
Require \(V_{A} = V_{B}\) the moment of closest approach
60 - 12t = 60 - 15 ( t- 0.75)
t = 3.75 s
The worst case scenario without contact is when \(S_{A} = S_{B}\)
At t = 3.75 s, from eq. (1) and (2),
60(0.75) + 60(3.75 - 0.75) - 7.5(3.75 - 0.75)² = d + 60(3.75) = 6(3.75)²
157.5 = d + 140.62
d = 16.9 ft
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PLZZZ HELPPP ASAP
I really need help as soon as possible
Answer:
Friction
Explanation:
As the toy cars rolls away, more friction is created. The more friction there is, the more friction on surface rubs against another which creates friction which in-term slows it down. Hope this helps.