The magnitude of B if A + B has a magnitude of 35 units is 24.49 units.
On paper, operations involving coplanar vectors, including addition and subtraction, can be represented. In reality, vectors are simply straight lines with arrowheads that can be drawn quickly and easily on a flat surface using a few basic rules.
Vector A is along the x-axis and vector B is along +y axis. Thus 90 is the angle between A and B ,
given |A| = 25
|A + B| = 35
We know that resultant |R| = |A + B| = √(A^2 + B^2 + 2ABcos90°)
35 = √ 25^2 + B^2 + 0
35^2 = 25^2 + B^2
B = √35^2 - 25^2
B = √1225 - 625
B = √600
B = 24.49 units.
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If the same rock is placed in four different locations, in
which location will the rock have the most potential
energy?
Select one:
O In a sandbox.
O On the street.
O On the sidewalk.
O In a tree.
In a tree if the same rock is placed in four different locations, the rock will have the most potential energy.
What means potential energy?Potential energy is a form of energy stored that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
If a steel ball is raised just above ground as opposed to falling to the ground, it has more potential energy. An object has potential energy as a result of its position in relation to other objects. Potential energy is so named because it has the ability to transform into other types of energy, like kinetic energy.
Where is potential energy?Potential energy is the energy that is held within a material or an object. Energy in an object held vertically is known as gravitational potential energy. Potential energy that can be stretched or compressed is known as elastic potential energy.
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I have this quick question for a tutor?
cylinder that 25cm diameter have the greatest elastic potential energy.
The energy that is stored when a force is used to deform an elastic object is known as elastic potential energy. Until the force is released and the object springs back to its original shape, doing labor in the process, the energy is retained. The object may be compressed, stretched, or twisted during the deformation.
The elastic limit of an object intended to store elastic potential energy will normally be high, but the maximum load that an elastic object can support is a property shared by all elastic objects. The elastic limit is the point at which an object can be deformed without losing its original shape
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Use the relationship shown in
Figure 18 to predict the travel time when
speed is 110 km/h.
The time taken to travel when the speed is 110 km / h is 2.7 hours to cover a distance of 300 km.
We know that,
v = d / t
where,
v = Velocity
d = Distance
t = Time
From the given graph,
At t = 6 hrs, the time taken is 50 km / h
d = 6 * 50
d = 300 km
So this graph represents the time it takes to cover 300 km at different speeds.
At v = 110 km / h
t = 300 / 110
t = 2.7 hrs
The given graph is an example of inverse relationship. An inverse relationship is a hyperbolic relationship in which one variable is the inverse of other variable.
Therefore, the time taken is 2.7 hrs.
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A boat travels at 15 m/s in a direction 45° east of north for an hour. The boat then turns and travels at 18 m/s direction 5° north of east for an hour. What is the magnitude of the boat's resultant velocity? Round your answer to the nearest whole number. m/s What is the direction of the boat's resultant velocity? Round your answer to the nearest whole degree. • north of east
The boat’s resultant velocity is v = 31.0 m/s, and the direction of the boat is 23.2 degrees north of east.
A resultant velocity is calculated using the formula below.
Vm equals Sum Sqrt(Vxi2 + VYj2)
where Vm is the resulting magnitude of velocity.
All x-component velocities are denoted by the letters Vxi.
The y-component of all velocities is called Vyj.
Add all of the values for the x-components together, square that number to get the magnitude of the resultant velocity. Add this to the earlier value after doing the same operation for the y-components. Finally, to determine the magnitude, square the result.
Tan-1 (Vx/Vy) = Va
where Va is the resultant velocity's angle.
Vx is the size of the resultant velocity's x-component.
Vy is the size of the resultant velocity's y-component.
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Which can be excluded due to the absence of fossil records?(1 point)
Responses
a dinosaur's backbone
b. the shell of a snail
c. the shell of a crab
d.the body of a jellyfish
The body of a jellyfish can be excluded due to the absence of fossil records and is denoted as option D.
What is a Fossil?This is referred to as the remains of plants and animals which have been preserved in the earth crust and it is important as it helps to give more information about life history of different organisms.
Examples of fossils include bones, shells etc as they are the parts of the organism which are preserved and not doesn't decay. The body of a jellyfish will decay and not form a fossilized structure which is therefore the reason why option D was chosen.
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Let A = 4i- 2j, B=-3i+ 6j, and F = 1i-4j. What is the magnitude of F ?
The magnitude is 4.1.
What is the magnitude of the vector?We must know that a vector is a quantity that has both magnitude and direction. The term magnitude refers to the amount of the vector while the direction shows the place where the vector is headed. It is common to write a vector in bold face or to show the direction of the vector by use of an arrow written above the symbol of the vector.
In this case, we have vector that is shown in the given directions and we have been asked to find the magnitude of the vector. We could find the magnitude of the vector from; √(1)^2 + (4)^2 = 4.1
Thus, the magnitude is 4.1.
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How fast did Israel Merkle run when he covered 26.2 miles in two hours and thirty minutes?
26.2 miles is equal to 42165 kilometers and 2 hours and 30 minutes is equal to 9000 seconds. Therefore, the speed is 4.685 m/s.
What is speed?
The most crucial scientific notion is measurement. Base or physical basic units are used to quantify a wide range of quantifiable quantities. One such quantifiable metric is speed, which calculates the ratio between the distance an item travels and the time needed to cover that distance.
The pace at which an object's location changes in any direction is referred to as speed.
The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.
Therefore, the speed is equal to 4.685 m/s.
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A student's research indicates that Pluto's radius is 1.172 x 10 m and its mass is
1.2 x 1022 kg.
a. Calculate the gravitational field strength at Pluto's surface.
b. calculate the force of gravity at Pluto’s surface of an object with a mass of 100kg
The gravitational field strength at Pluto's surface is 5.827 x 10⁹ N/kg.
The force of gravity between the object and Pluto's surface is 5.827 x 10¹³ N.
What is the gravitational field strength at Pluto's surface?
The gravitational field strength at Pluto's surface is calculated as follows;
G_E = GM/r²
where;
M is mass of the Plutor is the radius of PlutoG is universal gravitation constant = 6.67 x 10⁻¹¹ Nm²/kg²G_E = (6.67 x 10⁻¹¹ x 1.2 x 10²²) / (1.172 x10)²
G_E = 5.827 x 10⁹ N/kg
Force of gravity between the object and Pluto's surfaceThe force of gravity between the object and Pluto's surface is calculated as follows;
F = GMm/r²
F = (6.67 x 10⁻¹¹ x 1.2 x 10²² x 100) /(1.172 x 10)²
F = 5.827 x 10¹³ N
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Describe the feature of Protea flowers that suit its pollinator, the bush mouse.
The feature of Protea flowers that suits its pollinator, the bush mouse include the following:
Bowl shaped heads borne on short stout peduncles.Sugar-rich nectar.What is Pollination?This is defined as the process in which pollen grain is transferred from the anther to the stigma of a plant and are aided through agents such as wind, animals etc.
Protea flower is a plant which is pollinated by small mammals such as bush mouse which is as a result of them searching for food in the form of the nectar and the short stout peduncles makes thew plant accessible to these animals.
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A box has a mass of 30kg and accelerates at a rate of 3 m/s. If the force of friction on the box is 20N, how much force did YOU exert in order to move it?
The amount of force exerted on the box reported to weigh 30kg and accelerates at a rate of 3m/s² is 110N.
How to calculate force?The force applied to a body can be calculated by adding the resultant force to the frictional force as follows:
Applied force = resultant force + frictional force
However, the resultant force (F) can be calculated by using the following formula:
Resultant force = mass × acceleration
Resultant force = 30kg × 3m/s²
Resultant force = 90N
Applied force = 90N + 20N = 110N
Therefore, the amount of force exerted on the box reported to weigh 30kg and accelerates at a rate of 3m/s² is 110N.
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What does the internal ordering of solid substances depend on?
Answer:
solid < liquid < gas
Explanation:
study island
Explanation:
hope it helps
In order to promote tolerance and peace, what ideology did the U.S. try to strengthen in the world?
A. Military power
B. Capitalism
C. Communism
D. Democracy
Answer:
c
Explanation:
Question 1
Imagine running one hour straight west at 12 km/h and then changing direction
quickly and running one hour straight north at 12 km/h. What was your total
distance? Round to the nearest whole number.
O 34 km NW
O 12 km
O 24 km
O 17 km NW
1 pts
Answer: 24km
Explanation:
hope this helps
If you were looking through a window and the light is on in the room and it's light out what would happen
Answer:
If the inside light is not too bright, a person on the outside could not see inside because the light reflected from the outside is too bright.
Explanation:
some of the light bounces (or reflects) off the glass. The rest of the light keeps going through the glass object, but the light is bent (or refracted) as it moves from the air to the glass
A force acting on an object that is free to move will cause a change in the speed of the object. Which graph shows how the
single constant force were applied to the object over a period of time?
A push or pull on an item is defined as a force. Gravitation, resistance, and applied force are examples of forces. Force alters the speed or motion's direction. These modifications are known as acceleration.
According to Newton's second law, the acceleration of an object caused by a net force is directly related to the magnitude of the net force, in the same net force, and inversely related to the object's mass.
A constant force can be defined as a constant force delivered to a specific item in a direction parallel to the acceleration created in the body. As previously established, the consistent force is proportional to the acceleration generated in a body.
The rate of change of linear momentum is proportional to the applied force.
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What are the four kinematic equations and what do the symbols of the equations mean?
and
How are the kinematic equations used to solve problems?
Four kinematic equations and what the symbols of the equations mean are as follows
v = v0 + a x t
Δ x = ( v + v0^2 ) t.
Δ x = v0 t + 1/2 a t^2.
v^2 = v0^2 + 2 a Δ x.
Here, v refers to final velocity, v0 is the initial velocity, x is the distance, t is the time and a is the acceleration
We may use a straightforward equation to calculate the average velocity of an object because kinematics equations are utilised when the object's acceleration is constant. Adding the beginning velocity to the final velocity and dividing by two yields the average velocity.
What do you mean by kinematics ?Kinematics equations describe how input movement at one or more joints determines the configuration of a mechanical system, such as a robot manipulator, in order to reach a task position or end-effector location.
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A 1250kg car is stopped at a traffic light. A 3550kg truck moving at 8.33 m/s hits the car from behind. If the bumpers lock, how fast will the two vehicles move?
The final speed of the cars after the collision is determined as 6.16 m/s.
Final speed of the cars after collisionThe final speed of the cars after the collision is calculated from the principle of conservation of linear momentum as shown bellow.
m1v1 + m2v2 = v(m1 + m2)
where;
v1 is the initial velocity of the 1250 kg carv2 is the initial velocity of the 3550 kg carSubstitute the given parameters and solve for "v".
1250(0) + 3550(8.33) = v(1250 + 3550)
29,571.5 = 4800v
v = 29571.5/4800
v = 6.16 m/s
Thus, the final speed of the cars after the collision is determined as 6.16 m/s.
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An airplane in flight is subject to an air resistance force proportional to the square of its speed v. But there is an additional resistive force because the airplane has wings. Air flowing over the wings is pushed down and slightly forward, so from Newton's third law the air exerts a force on the wings and airplane that is up and slightly backward (Figure 1). The upward force is the lift force that keeps the airplane aloft, and the backward force is called induced drag. At flying speeds, induced drag is inversely proportional to v2, so that the total air resistance force can be expressed by Fair=αv2+β/v2, where α and β are positive constants that depend on the shape and size of the airplane and the density of the air. To simulate a Cessna 150, a small single-engine airplane, use α = 0.270 N⋅s2/m2 and β = 3.45×105 N⋅m2/s2 . In steady flight, the engine must provide a forward force that exactly balances the air resistance force.
Calculate the speed at which this airplane will have the maximum range (that is, travel the greatest distance) for a given quantity of fuel. Hint: Think what condition the resistance force must satisfy in order to yield the maximum range.
The amount of the change in an object's position over time or the size of the change per unit of time, which is referred to as speed, is a scalar number in kinematics and common usage.
Calculate the speed at which this airplane will have the maximum range (that is, travel the greatest distance) for a given quantity of fuel.
When an airplane is in flight, air resistance exerts a force proportional to the square of the speed V. However, the fact that the airplane has wings adds another resisting force. According to Newton's third law, air flowing over the wings is pushed down and slightly forward, which results in the air exerting an upward and somewhat backward force on the wings and airplane (Figure 1). The lift force that holds the airplane in the air is upward, while induced drag is the backward force. The total air resistance force can be stated as F_air = A.V? +B/V2 since induced drag is inversely proportional to V2 at flying speeds, and a and B are positive constants that depend on the size and shape of the object, where A and B are constants that depend on the size, shape, and weight of the aircraft as well as the air's density. Use A = 0.260 N.s?/m2 and B = 3.49x105 N.mo/s2 to model the little single-engine Cessna 150. The engine must deliver a forward force during steady flight that precisely balances the force of air resistance.
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According to the perpetual load theory and fMRI research, which of the following happens during distracted driving?
Multiple Choice
O
O
decrease in activity in a small part of the brainstem (pontine tegmentum)
decrease in activity in the reticular activating system of the brain stem
decrease in activity in areas of the brain involved in processing spatial information
decrease in activity in areas of the brain involved in language processing
During distracted driving there is a decrease in activity in areas of the brain involved in processing spatial information.
What is MRI?The MRI is the kind of studies that could be used to obtain the activity of the brain. The term MRI stands for magnetic resonance imaging. It is the type of study that shows what parts of the brain are at work when certain activities are going on.
Now, when a person is driving, the person makes use of the parts of the brain that are in charge of spatial information. Hence, during distracted driving there is a decrease in activity in areas of the brain involved in processing spatial information.
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we distinguish two categories of forces: __________ forces are those in which matter
What is the tension on P if the weight is 200 N?
Since the tension on the rope will be equal to the magnitude of the weight, the tension on P if the weight is 200 N will be equal to 200 N
What is Weight ?Weight is the gravitational pull on a body. It is a force. And it is measured in Newton.
If a load of 200 N is hung on a rope attached to a ceiling, is the tension on the rope P if the weight is 200 N will be equal to the magnitude of the weight.
Therefore, the tension on P if the weight is 200 N will be equal to 200 N
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non example of distance
A non-example of distance is "a car that weighs 10 kg travels at a speed of 5 km/hr."
What is distance?In Mathematics and Science, distance can be defined as the amount of ground that is travelled by a physical object or body over a particular period of time and speed, irrespective of its direction, starting point or ending point.
Mathematically, the distance traveled by a car when it is positioned between two end points can be calculated by using this equation:
Total distance = 20 km + 10 km
Total distance = 30 km
In conclusion, since I didn't mention the time taken in the sentence above, it is a non-example of distance.
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Complete Question:
What is a non-example of distance?
The accompanying photo shows a KC-10A Extender using a boom to refuel an aircraft in flight. If the velocity of the KC-10A is 125 m/s due east relative to the ground, what is the velocity of the aircraft being refueled relative to (a) the ground, and (b) the KC-10A?
The velocity of the aircraft relative to the ground is 125 m /s due East and relative to KC-10A is zero
Given that,
Velocity of KC-10A with respect to ground = 125 m / s due East
The refueling aircraft is in contact with KC-10A in order to refuel KC-10A. In order to remain in contact, the velocity of both the KC-10A and refueling aircrafts must be equal. Therefore, if seen from ground both the aircrafts should be moving with same velocities which is 125 m / s due East.
If seen from KC-10A, the refueling aircraft seems to be not moving as both the aircrafts are moving at same velocities. Therefore, in relation to KC-10A the refueling aircraft has zero velocity.
Therefore, the velocity of the aircraft relative to the ground is 125 m /s due East and in relation to KC-10A is zero
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. Acceleration is the rate at which/what hap-
pens?
The Ruby-throated Hummingbird (Archilochus colubris) can flap its wings with an angular speed of 342 rad/s . What is the period of its flapping motion?
When the Ruby-throated Hummingbird flap its wings with an angular speed of 342 rad/s, the period of its flapping motion is 0.018 seconds.
How to illustrate the information?Rotational velocity, sometimes referred to as angular frequency vector, is a pseudovector used in physics to express how quickly an object's angular position or orientation varies over time.
A scalar measurement of the rotating item is its angular speed. A vector representation of the rotating object is the angular velocity. Only the magnitude is specified for angular speed.
It should be noted that w = 2πf
f= frequency
f= 342 / 2 × 3.14
= 54.49Hz
Therefore, the time period will be:
= 1 / Frequency
= 1 / 54.49
= 0.018 seconds.
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The period of its flapping motion
T=0.018 s
This is further explained below.
The process in which an object's location changes in relation to the passage of time is referred to as motion.
The mathematical representation of motion includes variables such as displacement.
Generally, omega,=2pi
f=frequency
f =(omega)/(2pi)=(346)/(2*3.14)=55.09Hz
Timeperiod
T=(1)/(f),
T=(1)/(55.09)
T=0.018 s
In conclusion, A full cycle of vibration takes the amount of time shown by the symbol T, which is referred to as the Period. The length of time it takes for a wave to complete one cycle shortens as its frequency rises.
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a) What looks like 21 individual rings around the girls neck is actually 21 turns of a coil of brass. Each turn has a circumference of 40cm. Calculate (in cm) the total length of brass used to make the girl's neck ring.
Answer:4
Explanation:
what are the two main areas of pyisical scienece
Answer:
The two main areas of physical science are chemistry and physics. Chemistry is the study of the composition, structure, proper- ties, and reactions of matter. Physics is the study of matter and energy and the interactions between the two through forces and motion.
Explanation:
What is attachment?
a
bond between one person and another
b
physical closeness
c
regulation of emotions
d
seeing the world only through one's own eyes
Answer:
It depends I think it could be both a Bond between one person and another. And physical closeness
Explanation:
I would go with a though
Answer:
a, bond between one person and another
Explanation:
took the quiz
A population that is industrialized is experiencing a drop in death rates. However, the birthrate remains high. Could it be undergoing the demographic transition? Explain.
a consistent drop in the death rate.
As nations grow more industrialized, the demographic transition depicts the change from high birth (fertility) and death rates to low birth (fertility) and death rates. Due to low levels of family planning and poor sanitation and medical care, fertility rates are high during the pre-industrial period of the demographic transition, and death rates are also high. During this time, the population does not increase. The death rate declines during the subsequent stage, known as the transitional period, as a result of advancements in sanitation and medical treatment, but fertility rates continue to be high. Currently, there are more births than deaths, which causes the population to grow quite quickly.
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A bicyclist is moving in an eastward direction and slowing down. What are the directions of the velocity and acceleration vectors?
Question 1 options:
Both vectors are east
Velocity is west and acceleration is east
Velocity is east and acceleration is west
Both vectors are west
C. The correct option "velocity is east and acceleration is west".
What is negative velocity?A negative velocity occurs when an object moves in the negative direction.
Example of negative velocity;
If a car is moving away from you (reference point) then the velocity is positive.
If a car is coming towards you (reference point) then the same vector reverses direction and hence the velocity is negative.
What is negative acceleration?If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion. Thus, the acceleration of the object will be negative.
Thus, since the bicyclist is moving eastward, the velocity is east, also since he is slowing down the acceleration is west. The correct option "Velocity is east and acceleration is west".
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