ANSWER
\(A.\text{ }5\text{ m, }323.13\text{ deg}\)EXPLANATION
First, let us make a sketch of the vectors:
The thick black line represents the vector sum of the two vectors A and B.
We see that the coordinates of the vector (A + B) are:
\((A+B)=(4,-3)\)We can write it in component form as:
\(A+B=4i-3j\)To find the magnitude of (A + B), we have to find the length of the line using the formula:
\(L=|A+B|=\sqrt{x^2+y^2}\)where (x, y) are the coordinates of the vector.
Hence, the magnitude of the vector is:
\(\begin{gathered} |A+B|=\sqrt{(4)^2+(-3)^2}=\sqrt{16+9} \\ \\ |A+B|=\sqrt{25} \\ \\ |A+B|=5\text{ m} \end{gathered}\)To find the direction of the vector (A + B), we have to apply the formula:
\(\theta=\tan^{-1}(\frac{y}{x})\)Therefore, the direction of the vector is:
\(\begin{gathered} \theta=\tan^{-1}(-\frac{3}{4}) \\ \\ \theta=143.13\text{ deg or }323.13\text{ deg} \end{gathered}\)Since the vector is in the fourth quadrant, then, the direction is:
\(\theta=323.13\text{ deg}\)Therefore, the magnitude and direction of the sum vector (A + B) are:
\(A.\text{ }5\text{ m, }323.13\text{ deg}\)The mass of the planet Mars is 6.39 x 10^23 kg. Using Newton's Law of Gravitation, calculate the force of gravity between the planet Mars and the 74 kg Mars Rover drone on the surface if the distance between the center of Mars and surface is 2129.9 km. Show all work.
Need it ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
F = 695.25 N
Explanation:
The force between Mars and Rover can be given by Newton's Law of Gravitation can be written as follows:
F = Gm₁m₂/r²
where,
F = Force of Gravity = ?
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
m₁ = mass of rover = 74 kg
m₂ = mass of mars = 6.39 x 10²³ kg
r = distance between the centers of mars and rover = 2.1299 x 10⁶ m
Therefore,
F = (6.67 x 10⁻¹¹ N.m²/kg²)(74 kg)(6.39 x 10²³ kg)/(2.1299 x 10⁶ m)²
F = 695.25 N
Convert 140.8 centimeters to inches.
Using one step conversions.
Answer:
140.8/2.54=55.43 inches
A 100 kg gymnast comes to a stop after tumbling. Her feet do 5,000 J of work to stop her.
Which of the following was the girl's velocity when she began to stop?
Answer:10 m/s
Explanation:
A 100 kg gymnast comes to a stop after tumbling. Her feet do 5,000 J of work to stop her. The girl's velocity when she began to stop is 10 m/sec.
What is velocity?When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time. Velocity is vector quantity.
Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time. Here in the question velocity is changing by using work energy theorem we have,
work done = change in kinetic energy
5000 = (.5).m.v² , where v is velocity.
5000 = (.5).100.v²
v = 10 m/sec
A 100 kg gymnast comes to a stop after tumbling. Her feet do 5,000 J of work to stop her. The girl's velocity when she began to stop is 10 m/sec.
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A train that has wheels with a diameter of 91.44 cm (36 inches used for 100 ton capacity cars) slows down from 82.5 km/h to 32.5 km/h as the train approaches a town. The wheels of the train make 95.0 revolutions in this time.
Required:
a. What is the angular acceleration of the wheels?
b. How long does it take the train to make this reduction in speed?
c. How far does the train travel during this deceleration period?
d. Assuming the same rate of deceleration, how many MORE revolutions will the wheels make before stopping?
e. Assuming the same rate of deceleration, how much FARTHER will the train travel before stopping?
Answer:
The answer is below
Explanation:
The initial velocity = u = 82.5 km/h = 22.92 m/s, the final velocity = 32.5 km/h = 9.03 m/s, diameter = 91.55 cm = 0.9144 cm
radius (r) = diameter / 2 = 0.9144 / 2= 0.4572 m
a) Initial angular velocity (\(\omega_o\)) = u /r = 22.92 / 0.4572 = 50.13 rad/s, final velocity (ω) = v / r = 9.03 / 0.4592 = 19.67 rad / s
θ = 95 rev * 2πr = 95 * 2π * 0.4572= 272.9 rad
angular acceleration (α) is:
\(\omega^2=\omega_o^2+2\alpha \theta\\\\19.67^2-50.13^2=2\alpha(272.9)\\\\19.67^2=50.13^2+2\alpha(272.9)\\\\2\alpha(272.9)=-2126.108\\\\\alpha=-3.89\ rad/s^2\\\\\)
b)
\(\omega=\omega_o+\alpha t\\\\19.67=50.13+(-3.89t)\\\\3.89t=50.13-19..67\\\\3.89t=30.46\\\\t=7.83\ s\)
c) θ = 95 rev * 2πr = 95 * 2π * 0.4572= 272.9 rad
a) When it stops, the final angular velocity is 0. Hence:
\(\omega^2=\omega_o^2+2\alpha \theta\\\\0=50.13^2+2(-3.89)\theta\\\\2(3.89)\theta=50.13^2\\\\2(3.89)\theta=2513\\\\\theta=323\ rad\\\\revolutions=\frac{\theta}{2\pi r}=\frac{323}{2\pi(0.4572)} =112.4\ rev\)
θ = 323 rad
A small block sits at one end of a flat board that is 2.50 m long. The coefficients of friction between the block and the board are μs = 0.450 and μk = 0.400. The end of the board where the block sits is slowly raised until the angle the board makes with the horizontal is α0, and then the block starts to slide down the board.
Hi there!
In order for a block to begin sliding, the force due to STATIC friction must be overcome.
In this instance, the following forces are acting on the block ALONG the axis of the incline.
Force due to gravity (Fg)Force due to STATIC friction (Fs)Force due to gravity:
On an incline, the component of the force due to gravity contributing to the object's downward movement is equivalent to the horizontal (sine) component.
\(F_g = Mgsin\theta\)
Force due to static friction:
The force due to friction is equivalent to the normal force multiplied by the coefficient of friction.
The normal force is the cosine component (perpendicular to the incline), so:
\(N = Mgcos\theta\\\\F_s = \mu_sMgcos\theta\)
To find the minimum angle for the block to begin sliding, we can set the two forces equal to 0. They work in opposite directions (let down the incline be negative and up the incline be positive).
\(\Sigma F = F_s - F_g\\\\0 = F_s - F_g\\\\0 = \mu_sMgcos\theta - Mgsin\theta\\\\Mgsin\theta = \mu_sMgcos\theta\)
Cancel out 'Mg' and rearrange to solve for theta.
\(sin\theta = \mu_scos\theta\\\\tan\theta = \mu_s\\\\\theta = tan^{-1}(\mu_s) = tan^{-1}(.45) = \boxed{24.228^o}\)
A commuter backs her car out of her garage with a constant acceleration of 1.20 m/s2. (a) How long in seconds does it take her to reach a speed of 1.90 m/s
The time in seconds it will take her to reach a speed of 1.9 m/s is 1.58s.
What is time?:Time can be defined as the measurable period or duration, during which an action, process, or condition exists or continue.
The time taken for the commuter to reach a speed of 1.9 m/s, can be calculated using the formula below.
Formula:
a = (v-u)/t................. Equation 1Where:
a = acceleration of the commuterv = final velocity of the commuteru = initial velocity of the commutert = time taken for the commuter to reach the speed.make t the subject of equation 1
t = (v-u)/a................. Equation 2From the question,
Given:
v = 1.90 m/sa = 1.2 m/s²u = 0 m/sSubstitute these values into equation 1.
t = (1.9-0)/1.2t = 1.58 s.Hence, The time in seconds it will take her to reach a speed of 1.9 m/s is 1.58s
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Cho đoạn mạch như hình 14. Với E = 231V; R = 22; r0 = 0,1; Rd = 1. Sụt áp trên đường dây và điện áp ở 2 đầu A-B là:
Answer:
what question is that?
Explanation:
make it english
give an example of a normal force. type below.
Normal force is the force exerted when an object is on an surface. So an example could be a pile of books on top of a table.
question why if you keep dieing in zombies on cold war u think im gunna rev you. i just got the key and the d.i.e remote and am geting the wonder wepon. but soon as that door explode you so quick to grab it you die. played me like a fool. why the heck you keep tryna exfil on round 15 BOI IF YOU DONT WQBFUFHJEWFHFNQC! packapunched knife to tier 1 head aS BOI!!!
Answer:
??????? umm what r u saying??? kinda confusing..............what does question why if you keep dieing in zombies on cold war u think im gunna rev you. i just got the key and the d.i.e remote and am geting the wonder wepon. but soon as that door explode you so quick to grab it you die. played me like a fool. why the heck you keep tryna exfil on round 15 BOI IF YOU DONT WQBFUFHJEWFHFNQC! packapunched knife to tier 1 head aS BOI!!! mean????????
very very very confusing
Explanation:
plz mark brainlyist :()
When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
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Difference between relating velocity and angular velocity?
Answer:
Linear velocity is speed in a straight line (measured in m/s) whileangular velocity is the change in angle over time (measured in rad/s, which can be converted into degrees as well).
Explanation:
hope this helps :)
ayuden ha resolver este ejercicio porfa
Answer:
un café y a seguir pensando porque no se la respuesta xd
Which three gasses that contribute most to Climate Change?
ans) 1.Green House gasses 2. carbon dioxide 3.nitrious gases
Answer:
Water vapor.
Carbon dioxide.
Methane.
Ozone.
Nitrous oxide.
Chlorofluorocarbons.
Explanation:
thank me later
describe the relationship of the atoms shown above
choices:
Answer:
I don't know.
A catcher catches a baseball (m = 145 g) traveling at a speed of 42.5 m/s. How much work was done on the baseball to bring it to rest?
The net work done on the baseball to bring it to rest is -130.953 J or approximately 131 J. The negative sign indicates that the force has been applied opposite to the direction of motion of the baseball.
What is the work-kinetic energy theorem ?The work-kinetic energy theorem states that an object's change in kinetic energy is equivalent to the work that has been done on it.
\(W_{net} = KE_{f} -KE_{i}\)
Here,
\(W_{net}\) = Net work done
\(KE_{f}\) = Final Kinetic Energy
\(KE_{i}\) = Initial Kinetic Energy
We know,
\(KE = \frac{1}{2} mv^{2}\)
Here, m = Mass of the object
v = velocity of the object
Now,
\(W_{net} = KE_{f} -KE_{i}\\W_{net}= \frac{1}{2} mv^{2}_{f} - \frac{1}{2} mv^{2}_{i}\)
Given,
Mass of baseball (m) = 145g = 0.145 kg
Initial velocity (\(v_{i}\)) = 42.5 m/s
Final velocity (\(v_{f}\)) = 0 m/s (since, the baseball comes to rest.)
Inserting these values in the above equation we get,
\(W_{net}= \frac{1}{2} mv^{2}_{f} - \frac{1}{2} mv^{2}_{i}\\ = 0- \frac{1}{2} *0.145*42.5*42.5 \\= -130.953\)
Hence, the net work done on the baseball to bring it to rest is -130.953 J or approximately 131 J.
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should Delia have tried to help Sykes at the end of the story or is she justified in letting nature take its course? Is Delia a bad person?
Also is anyone single i am and live in Sc and wouldn't mind be taken
I'd like to be a lucky guy like others are
i know this isn't a dating app but i don't have a phone sadly
Answer:
this is a website for kids to get help on homework not date
Which of the following statements concerning momentum is true?
Which of the following statements concerning momentum is true?
*
A.) Momentum is a scalar quantity.
B.)The momentum of an object is always positive.
C.)Momentum is a force.
D.) Momentum is a vector
E.)The SI unit of momentum is the Newton.
The statement that is true about momentum is as follows: Momentum is a vector (option D).
What is momentum?Momentum is the tendency of a body to maintain its inertial motion. It is the product of its mass and velocity, or the vector sum of the products of its masses and velocities.
Momentum is a vector quantity i.e. it has both magnitude and direction.
Since momentum is a product of mass and velocity, it's S.I unit is kgm/s or N/s.
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Momentum is that momentum is a vector quantity. Therefore, the answer is option D.Momentum is a property of objects that are moving, that is, an object's tendency to stay in motion. Momentum is a measure of an object's motion or its inertia in motion.
An object's momentum is calculated as the product of its mass and its velocity, with the direction of momentum being the same as the direction of velocity.Vector and scalar quantitiesMomentum is a vector quantity because it has both magnitude and direction. A scalar quantity, on the other hand, is a quantity that has only magnitude and no direction.
For example, speed is a scalar quantity because it is defined as distance divided by time and has only magnitude (no direction).In physics, there are two types of quantities: vector quantities and scalar quantities. A vector quantity is a quantity that has both magnitude and direction, whereas a scalar quantity is a quantity that has only magnitude.
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Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?
The diameter of the smaller end of the pipe is approximately 0.78 meters.
To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.
The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity
Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2
Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2
Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30
Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30
0.36 * 13 = (diameter2/2)^2 * 30
4.68 = (diameter2/2)^2 * 30
Dividing both sides by 30:
0.156 = (diameter2/2)^2
Taking the square root of both sides:
0.39 = diameter2/2
Multiplying both sides by 2:
0.78 = diameter2
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define refractive index with reference to the law of reflection
The ratio of the velocity of light in a vacuum to its velocity in a specified medium.
Law of reflection:-also known as Snell's law defines the refractive index of a medium with respect to the other medium. First law of refraction states that, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant.
A heavy stone and a light stone are released from rest in such a way that they both have the same amount of gravitational potential energy just as they are released. Air resistance is negligibly small. Which of the following statements about these stones are correct? (There could be more than one correct choice)
a) The stones must have been released from the same height.
b) The stones both have the same kinetic energy just as they reach the ground.
c) The stones both have the same speed just as they reach the ground.
d) Just as it reaches the ground, the light stone is travelling faster than the heavy stone.
e) The initial height of the light stone is greater than the initial height of the heavy stone.
The stones needed to be dropped from the same height. The light stone is moving quicker than the hefty stone just as it touches the ground. The light stone is taller when it is first placed than the heavy stone is.
What exactly is meant by energy?Energy is the ability to carry out work. Potential, kinetic, thermal, electrical, chemical, nuclear, and other forms may all exist for it.
In Example, what is energy?There are numerous types of energy. Examples of these include: electromagnetic energy, chemical energy, nuclear or atomic energy, mechanical energy, gravitational energy, electrical energy, sound energy, and so on. Each form can be changed or transformed into the others.
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3. An ecosystem is different from all of
the other groups because it contains
things.
O only living
O only nonliving
O both living and nonliving
Answer:
I think it is O only nonliving
write down the value of
920 kg in g
Answer:
920000
Explanation:
Each kg contains 1,000 grams
If the battery is 4.0V the voltmeter reading across R is 2.0V and the resistance per unit length of wire AX is 2 ohms per metre calculate the current in the circuit when AP is 40.0cm(neglect the internal resistance of the battery)
The current in the circuit is 2.5 A.
Voltage across the wire AX, V = 4 - 2 = 2V
Resistance per unit length of wire AX, R/l = 2 Ω/m
Length of the wire, l = 0.4 m
Resistance of the wire,
R = R/l x R
R = 2 x 0.4 = 0.8 Ω
According to Ohm's law, the current in the wire AX,
I = V/R
I = 2/0.8
I = 2.5 A
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Were is the computer located
Answer:
where u put it last time or retrace ur steps to where u last put it
PLEASE ANSWER QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!
Like magnetic fields, electric fields are invisible. How did the experiment allow you to gather evidence that electric fields exist?
Answer: while electric fields aren’t visible or tangible, they are mensurable.
Explanation: you might want to attach the experiment notes to your question***
Answer: 13 miles.
Explanation:
The work-energy theorem states that the change in the kinetic energy of an object is equal to what?
The work-energy theorem states that the change in the kinetic energy of an object will be equal to the net work done on the object.
Mathematically, it can be expressed as;
ΔKE = W
Where; ΔKE represents the change in kinetic energy of the object,
W represents the net work done on the object.
This theorem states that when work is done on an object, it results in a change in its kinetic energy. If work is done on an object, its kinetic energy increases, and if work is done by an object, its kinetic energy decreases.
This theorem is a fundamental principle in physics that relates the concepts of work and energy, and it is often used to analyze the motion and behavior of objects in various physical systems.
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a) Calculate the pressure of water at the bottom of a well if the depth
of water is 10m. (g= 9.8 m/s) (Ans: 98000Pa)
Answer: 98000pa
Explanation:Given,
Depth(h)=10m
gravity(g)=9.8m/s
density(δ)=1000kg/m^3
we know,
P=hdg
P=10*1000*9.8
P=98000pa
Answer:
98000pa
Explanation:
Depth =10m
gravity = 9.8m/s
density= 1000kgm^3
We know
p=pdg
p=10×1000×9.8
p=98000pa
Which best describes the direction of heat?
The 2001 World Trade Center attacks fall under which category of terrorism?
foreign-sponsored terrorism on U.S. soil
domestic-sponsored terrorism on U.S. soil
cyberwarfare and domestic terrorism
terrorism abroad that affects U.S. citizens
The 2001 World Trade Center attacks fall under which category of terrorism (a).foreign-sponsored terrorism on U.S. soil is correct option.
The 2001 World Trade Center attacks are generally considered to be an example of foreign-sponsored terrorism on U.S. soil. The attacks were carried out by a terrorist organization based in Afghanistan called Al-Qaeda, which was led by Osama bin Laden. The attackers were primarily from Saudi Arabia, but they received training and support from Al-Qaeda operatives based in Afghanistan.
Therefore, the correct option is (a).
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Which of the following is not a longitudinal
wave?
Light Waves
Sound Waves
Ultrasound Waves
Answer:
light waves is not a longitudinal wave.
Light waves are transverse waves, but sound waves and Ultrasound waves belongs to longitudinal waves category.
so, correct choice is :
Light waves