You can find the magnitude of the resultant vector : (B). By adding the magnitudes of the two vectors
Meaning of Vectors
A vector can be defined as any quantity which possesses magnitude and also has direction.
A Vector quantity is very useful because This type of quantity gives more details to the student or teacher analyzing it.
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What's the frequency of the wave below?
Answer:
2 Hz
Explanation:
the frequency of a wave is how many waves pass in one second. So, to find the frequency of this wave, we should look at how many wave cycles have occurred at 1 second.
2 full wave cycles are shown between 0.0 seconds and 1.0 seconds, making the frequency 2 Hz
If a rock is thrown downward with an initial speed 6ms then what is the rocks velocity after 4 sec
Answer:
[tex]\huge\boxed{\sf V_f=45.2 \ m/s}[/tex]
Explanation:
Given Data:Initial velocity = [tex]V_i[/tex] = 6 m/s
Time = t = 4 sec
Acceleration due to gravity = g = 9.8 m/s²
Required:Final velocity = [tex]V_f[/tex] = ?
Formula:[tex]v_f=v_i+gt[/tex]
Solution:Put the givens in the formula
[tex]V_f=6 +(9.8)(4)\\\\V_f=6+39.2\\\\V_f=45.2 \ m/s\\\\\rule[225]{225}{2}[/tex]
How are distance and displacement related?
Answer: They both give us a notion about the position of an object
Explanation:
A woman launches a boat from one shore of a straight river and wants to land at the point directly on the opposite shore. If the speed of the boat is 10 mph and the river is flowing east at 5mph, in what direction should she head the boat in order to arrive at the desired landing point
Answer:
If she stands on the North side of a river flowing to the East at 5 mph,
she must head towards the SouthWest to arrive on the South side of the river directly across from her starting point and we have
x^2 + 5^2 = 10^2 where x is her speed directly across the river
x = (75)^1/2 = 8.66 mph towards the South
sin theta = 5 / 10 = 1/2
She must angle the boat at 30 deg from straight South
Determine the force p required to (a) raise and (b) lower the 40-kg cylinder at a slow, steady speed. the coefficient of friction between the cord and its supporting surface is 0.30.
Answer:
T - M g - Ff = M a describes the acceleration of the object
T = M g + Ff if the object moves at constant speed (a = zero)
Ff = μ M g = .3 * 40 * 9.8 = 118 N the force of friction
Ff will be in a direction opposite to the motion
M g = 40 kg * 9.8 m/s = 392 N
a) T = M g + Ff for an object moving upwards
T = 392 + 118 = 510 N
b) T = M g - Ff for an object moving downwards
T = 392 - 118 = 274 N
The 85-lb force P is applied to the 200-lb crate, which is stationary before the force is applied. Determine the magnitude and direction of the friction force F exerted by the horizontal surface on the crate.
The direction of the friction force F exerted by the horizontal surface on the crate will be in the left direction.
How to depict the force?From the information given, the 85-lb force P is applied to the 200-lb crate, which is stationary before the force is applied.
mg = 200 × 0.2248 × 9.8 = 440.608
The static friction force will be:
= 0.5 × 440.608
= 220.304N
Therefore, the static friction is greater than the force applied. Therefore, there'll be a static friction acting on the box on the left direction.
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8. A round tube weighs 30 kg. If the tube is stood on end, it pushes down on the floor with a pressure of 20 N/m². How many square inches is the end of the tube
Answer:
22785 square inches
Explanation:
As the mass of the tube is 30kg, therefore it is exerting a force of 30g N(30g = 30 × 9.8 = 294)So the force is 294 N.Pressure is 20 N/m², as given.As we know Pressure is equal to the force exerted per unit area (P=F/A).Therefore, A=F/PA = 294 ÷ 20 = 14.7 m²
As 1 m² = 1550 square inches. Therefore, 14.7 m² = 14.7 × 1550 square inches = 22785 square inchesIf you want to know something more about pressure, force, and area, you can refer to this link:
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Norma kicks a soccer ball with an initial velocity of 10.0 meters per second at an angle of 30.0°.
If the ball moves through the air for 3.2 seconds, what is the horizontal distance traveled by the ball? Round your answer to the nearest tenth.
Answer: 30
Explanation:
A bungee jumper jumps off a bridge and bounces up and down several times.
She finally comes to rest 16 m below the bridge from which she just jumped.
If her mass is 50 kg and the spring constant of the bungee cord is 35 N/m,
how much energy was lost due to air resistance while she was bouncing?
(Recall that g = 9.8 m/s²)
OA. 5420 N
OB. 3360 N
OC. 4280 N
O D. 6550 N
The energy that was lost due to air resistance while she was bouncing is determined as 3,360 J.
Conservation of energyThe amount of energy lost due to air resistance while she was bouncing is determined from the principle of conservation of energy.
ΔE = P.E - Ux
ΔE = mgh - ¹/₂kx²
ΔE = (50)(9.8)(16) - ¹/₂(35)(16)²
ΔE = 3,360 J
Thus, the energy that was lost due to air resistance while she was bouncing is determined as 3,360 J.
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A scientist claims that a certain type of fabric is better able to repel water than another. Which option describes an experiment that will produce evidence that will support or refute her claim?
A. Test groups of each kind of fabric by exposing them to the same amount of water for the same amount of time.
B. Test groups of each kind of fabric by exposing them to the same amount of water for different amounts of time?
C. Test a group of one kind of fabric by spraying water on it, and a group of the other fabric by submerging it.
D. Test a group of one fabric by spraying it with distilled water, and a group of the other fabric by spraying it with salt water.
The best way would be to test groups of each kind of fabric by exposing them to the same amount of water for the same amount of time. The correct option is A.
Scientific experimentsIn conducting scientific experiments to compare test subjects such as the fabrics mentioned in the illustration, the test subjects must be subjected to the same conditions.
The outcome of the experiment will no longer be scientifically valid if the test subjects are not exposed to the same condition.
Thus, the two fabrics must be exposed to the same amount of water for the same amount of time in order to come to a valid conclusion about which is a better water repeller among the two.
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the yacht shown below has a mass of 8300kg. determine its weight in air [ Acceleration due to gravity, g = 10 N kg¹
[tex]w = mg [/tex]
Answer:
83000kg
Explanation:
mass=8300kg
g=10
w=mg
8300×10=83000kg
There are uniform cubes in a toy box, a child makes a pillar using these cubes on a rough plane which is inclined to the horizontal at angle theta. The cubes do not slide on each other. If tan theta = 1/8, the max no. of cubes that can be stacked is,
A. 4
B. 5
C. 8
D. 16
Please explain the methods of obtaining the ans . Will mark the brainliest for the best ans
The maximum number of cubes that can be stacked on the inclined plane without sliding is determined as 8.
Net force on the box
The net force on the box can be used to determine the maximum number of cubes that can be stacked without sliding.
The stack cubes must be at equilibrium.
∑Fx = 0
nW - μFₙ = 0
where;
n is number of the cubesFₙ is the normal force of the cubesW is the weight of the cubes acting parallel to the planen(mg)sinθ - μmgcosθ = 0
n(mg)sinθ = μmgcosθ
nsinθ = μcosθ
let the coefficient of friction = 1nsinθ = cosθ
n = cosθ/sinθ
n = 1/tanθ
n = (1)/(1/8)
n = 8
Thus, the maximum number of cubes that can be stacked on the inclined plane without sliding is determined as 8.
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Read the scenario below and answer the question that follows.
Jean has been increasingly hyperactive, staying up all night, and finishing her work assignments in record time during the past few weeks. She feels it is a big improvement from how she felt before, when she was worried about losing her job, had trouble concentrating, and felt extremely irritable.
Jean is most likely suffering from __________ disorder.
A.
major depressive
B.
bipolar
C.
phobic
D.
generalized anxiety
This diagram shows half of the magnetic field of a bar magnet. Carefully draw in the other
half of the field.
Which way does the magnetic field go? Tick the correct box.
From the north pole to the south pole of the magnet. From the south pole to the north pole of the magnet..
Answer:
Explanation:
Does paint and cardboard have joints in it
The water in this pot is in the process of changing from a liquid to a gas. Thermal energy is still being added to the water as it vaporizes, but its temperature and the motion of its particles are not increasing. What do you think is happening to the extra energy?
The extra energy allows the molecules to convert states of molecules.
What is heating?When the temperature is increased , the body or particle is said to be heating.
The water in this pot is in the process of changing from a liquid to a gas. Thermal energy is still being added to the water as it vaporizes, but its temperature and the motion of its particles are not increasing.
When the liquid is converted to gas, the temperature reaches the boiling point of water. After boiling, the heat added up will only make the particles to convert its phase and go away in then atmosphere.
Thus, extra energy added helps molecules of water to change its state from liquid to solid.
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If the _ of the proteins changes, this is called a mutation
Answer:
If the DNA of the proteins changes, this is called a mutation.
Explanation: Hope it helps you :))))
Have a good day
HURRY A spring with a spring constant of 350 N/m pulls a door closed. How much work is done as the spring pulls the door at a constant velocity from an 85.0-cam stretch to a 5.0-cm stretch?
In stretching or compressing the spring by a distance of x (in meters), one performs 1/2 (350 N/m) x² of work on the spring, or equivalently the spring performs -1/2 (350 N/m) x² of work on the door. This work is negative since the restoring force of the spring opposes the force used to stretch or compress the spring.
Then when the spring is allowed to relax, it performs 1/2 (350 N/m) x² of work to return it to equilibrium position. The force from the spring acts in the direction of the door's motion, so the work done is positive once more.
Now, the work done on the door …
• … to return it from 85.0 cm = 0.850 m to equilibrium is
1/2 (350 N/m) (0.850 m)² = 126.4375 J
• … to return it from 5.0 cm = 0.050 m to equilibrium is
1/2 (350 N/m) (0.050 m)² = 0.4375 J
• … to relax from 85.0 cm to 5.0 cm from equilibrium is
126.4375 J - 0.4375 J = 126 J
If a 0.08 kg cell phone falls off a table at 15 m/s, then what is its kinetic energy right before it hits the ground?
The kinetic energy of the phone right before it hits the ground is 9J.
Kinetic energy of the phone
The kinetic energy of the phone right before it hits the ground is calculated as follows;
K.E = ¹/₂mv²
where;
m is mass of the phonev is velocity of the phoneK.E = ¹/₂(0.08)(15)²
K.E = 9 J
Thus, the kinetic energy of the phone right before it hits the ground is 9J.
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when we throw an arrow by streching the string of a bow , how does the energy change take place ?
when we throw an arrow , we first stretch the string of the bow. while stretching the string of the bow, the work done by us in stretching the bowstring gets stored as potential energy in the bow. This potential energy of the bow is transformed into kinetic energy when the bowstring is released and this gives the momentum and Kinetic energy to the arrow.
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When an arrow is drawn back by a bow, the work done by us in stretching the bowstring gets stored at potential energy in the bow. This potential energy of bow is transformed into kinetic energy when the bowstring is released and this gives kinetic energy to the arrow.
All the best!
Suppose a 2662 kg giant seal is placed on a scale and produces a 20.0 cm compres- sion. If the seal and spring system are set into simple harmonic motion, what is the period of the oscillations
Answer:
0.8976 seconds
Explanation:
The period of oscillation for the simple harmonic motion can be found using the formula ...
T = 2π√(d/g)
where d is the displacement of the spring due to the attached weight, and g is the acceleration due to gravity.
__
For d = 0.20 meters, the period is ...
T = 2π√(0.20/9.8) ≈ 0.8976 . . . . seconds
_____
Additional comment
The formula for the oscillator period is usually seen as ...
T = 2π√(m/k)
where m is the mass in the system and k is the spring constant. The value of the spring constant is calculated from ...
k = mg/d
Using that in the formula, we find it simplifies to ...
[tex]T=2\pi\sqrt{\dfrac{m}{k}}=2\pi\sqrt{\dfrac{m}{\left(\dfrac{mg}{d}\right)}}=2\pi\sqrt{\dfrac{d}{g}}[/tex]
A car started its journey at point A. After 30 seconds, the car had reached point B. The car stops at point B for 10 seconds. Then, the car turned around and arrived at point A after 15 seconds. The car stopped at point A for 20 seconds. The car then went on his way and get to the point C after 10 seconds. Find the velocity from 30 to 40s
Since the displacement is equal to zero, the velocity from 30 to 40s will also be zero.
VelocityVelocity is the distance travelled by a body in a specific direction per time taken. It is measured in meter per second. That is, m/s
Given that a car started its journey at point A. After 30 seconds, the car had reached point B. The car stops at point B for 10 seconds. Then, the car turned around and arrived at point A after 15 seconds. The car stopped at point A for 20 seconds. The car then went on his way and get to the point C after 10 seconds.
To find the velocity from 30 to 40s, we must realize that velocity can also be defined as;
Velocity = displacement / time
The displacement from point A to B and back to A is equal to zero.
Therefore, The velocity from 30 to 40s is also zero.
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When the defibrillator is in use, a potential difference of 4800 V is applied across the
person's chest.
A charge of 0.16 coulombs passes through the person's chest in 4.0 ms
Calculate the resistance of the person's chest.
If a defibrillator is in use with the given potential difference and charge in the given time, the resistance of the person's chest is 120 Ohms.
What is the resistance of the person's chest?From Ohm’s law;
V = I × R
Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.
Given that;
Potential difference v = 4800VCharge Q = 0.16CTime elapsed t = 4.0ms = ( 4/1000 )s = 0.004sResistance R = ?First, we calculate the current I.
Since current is the electric charge transferred per unit time.
I = Q/t
I = 0.16C / 0.004s
I = 40A
Now, the resistance of the person's chest will be;
V = I × R
R = V / I
R = 4800V / 40A
R = 120Ω
Therefore, If a defibrillator is in use with the given potential difference and charge in the given time, the resistance of the person's chest is 120 Ohms.
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1. Find the force if the mass is 6 kg and the acceleration is 12 m/s/s
Answer:
The answer to the question is 72N
The formular for calculating force is;
Force = Mass× acceleration due to gravity
therefore 6kg×12m/s/s = 72N
Why is a Magnetar extremely magnetic?
Answer:
The dominant theory of the strong fields of magnetars is that it results from a magnetohydrodynamic dynamo process in the turbulent, extremely dense conducting fluid that exists before the neutron star settles into its equilibrium configuration.
How strong is a magnetar magnetic field?
It can generate the most intense magnetic field observed in the Universe. The field strength of a magnetar is one thousand trillion times stronger than Earth's and is so intense that it heats the surface to 18 million degrees Fahrenheit. We only know of about 10 magnetars in the Milky Way galaxy.
Which best explains why the receiver of a signal must understand the code or language being used
The receiver of a signal must understand the code or language being used to avoid confusion and losses.
What is a Signal?This is usually in the form of a sound or body movement and is involved in conveying messages to people.
The receiver must understand the code or language in order to prevent confusion or loss of lives and properties.
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Every summer I drive to Pennsylvania. It is 895 km to get there. If I average 100 km/hr, how much time will I spend driving?
Answer the time you bee spending driving iss 795 because 895-795=100
Explanation:
Drag the tiles to the correct boxes to complete the pairs.
Identify the type of potential energy described.
Plants have more food is the chemical energy.
Two north magnetic poles have been brought together is the magnetic energy.
A person has walked to the top of hill posses gravitational potential energy.
A balloon has gained negative charged after being rubbed with a wool cloth is the electric energy.
A spring has been compressed inside a toy.
What is energy?Energy is the ability to do work.
There are different kind of energies like kinetic energy, potential energy, gravitational energy, heat energy, elastic energy, chemical energy, etc.
Thus, the statement are connected to the correct type of potential energies.
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The next closest star to Earth, Proxima Centuri, is 4.25 lightyears away. How far is that in meters?
Answer:
4.0208 x 10^16 meters
Explanation:
speed of light in m/s * # seconds in a year * 4.25 years =
2.99792 x 10^8 * 3600*24*365.25 * 4.25 = 4.0208 x 10^16 m
Question 7 of 10
which type of insurance policy covers liability that exceeds the coverage of a
regular insurance policy?
o a. health insurance
o b. disability insurance
Answer: it’s actually umbrella
Explanation: because