The magnitude of Force vector A is 95 N and its direction angle is 99. The magnitude of Force vector B is 109 N and its direction angle is 117. Find A+. Round your answer to two decimal places.
Answers
The resultant vector \(A+\) obtained by adding Force vector A (magnitude 95 N, direction angle 99°) and Force vector B (magnitude 109 N, direction angle 117°) is 191.53 N, rounded to two decimal places.
To find the resultant vector \(A+\), we need to add the two vectors using vector addition. Vector addition involves combining the magnitudes and directions of the vectors.
First, we break down Force vector A into its horizontal and vertical components. The horizontal component, \(A_{x}\), is given by \(A_{x}\) = A · cos(θ), where A is the magnitude of vector A (95 N) and θ is the direction angle (99°). Similarly, the vertical component, \(A_{y}\), is given by \(A_{y}\) = A · sin(θ).
Next, we break down Force vector B into its horizontal and vertical components using the same approach. The horizontal component, Bx, is given by \(B_{x}\) = B · cos(θ), where B is the magnitude of vector B (109 N) and θ is the direction angle (117°). The vertical component, By, is given by \(B_{y}\) = B · sin(θ).
To find the horizontal and vertical components of the resultant vector \(A+\), we add the corresponding components of vectors A and B: \(A_{x} + B_{x}\) and \(A_{y}+ B_{y}\).
Finally, we use the Pythagorean theorem to calculate the magnitude of the resultant vector \(A+\) : \(A+\) = \(\sqrt{ (A_{x} + B_{x})^2 + (A_{y} + B_{y})^2}\). Plugging in the values for the components, we find that A+ is approximately 191.53 N, rounded to two decimal places.
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Related Questions
The mass of each loaf of bread produced by a bakery follows a normal distribution with the mean of 400g and standard deviation of 18g. Find the probability that a loaf of bread chosen at random will have a mass of more than 450g.
Answers
The probability that a loaf of bread chosen at random will have a mass of more than 450g is 0.0026 or 0.26%.
The probability that a loaf of bread chosen at random will have a mass of more than 450g is found by first standardizing the random variable, using the standard normal distribution. We can then use the standard normal table or calculator to find the area to the right of the standardized value. The standardized random variable can be found using the formula
Z = (X - μ) / σ,
where X is the given value, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
Z = (450 - 400) / 18 = 2.78
Using the standard normal table or calculator, we can find the area to the right of 2.78. This area represents the probability that a loaf of bread chosen at random will have a mass of more than 450g.
Using a standard normal table or calculator, we find that this area is 0.0026 or 0.26%.
Hence, the probability that a loaf of bread chosen at random will have a mass of more than 450g is 0.0026 or 0.26%.
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19. The current in a hair dryer is 12 A. The hair dryer is plugged into a 120-V outlet. How
much electric resistance is there in the hair dryer's circuit? Use the equation for Ohm's
Law.
Answers
Answer:
10 ohms
Explanation:
R = V / I
a soccer ball at rest is kicked horizontally for a displacement of 21 m. What is the ball's final velocity after 4s
Answers
The final velocity of the ball after 4s will be 5.25m/s2.
What is Velocity?Velocity of a body is its speed and the direction in which it is moving.
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time (e.g. 60 km/h northbound).
It can also be described as the instantaneous rate of change of the body's distance traveled, and the direction in which the distance is changing.
Velocity is a vector quantity as it has both magnitude and direction.
From the question;
displacement, s = 21m
time = 4s
Velocity = displacement / time
Velocity = 21/4
Velocity = 5.25m/s2
Hence, the ball would move with a velocity of 5.25m/s2.
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I am stumped. Question 3. At 25 degrees C, a 15.000 g sample of an unknown liquid was determined to have a volume of 19.01 mL.At 25 degrees C, water has a density of 0.9982 g/mL. If the unknown liquid had been water, what volume would it have had?
Answers
The volume would liquid have had, 15.067 mL
How to calculate density of liquid ?The density of an object can be calculated as mass divided by volume, or ρ = m/V.
If the unknown liquid had been water, its density would have been equal to 0.9982 g/mL.
Let's call the volume of the unknown liquid V1 and the volume it would have had if it were water V2.
Then, we can write:
m/V1 = 0.9982 g/mL
where m is the mass of the unknown liquid, which is 15.000 g.
Rearranging the equation, we can find V1:
V1 = m/0.9982 g/mL
= 15.000 g / 0.9982 g/mL
= 15.067 mL
So, the volume of the unknown liquid if it had been water would have been 15.067 mL.
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a stretched string has a wave speed v. if the string is replaced by another with half the linear mass density, by what factor will the speed of a wave on the string change?
Answers
The wave speed will increase by a factor of the square root of 2, or approximately 1.41.
What is linear mass density?A quantity of any characteristic value per unit of length is defined as having a linear density. Two frequently used examples in science and engineering are linear mass density (titer in textile engineering, the amount of mass per unit length) and linear charge density (the amount of electric charge per unit length).
The speed of a wave on a stretched string is directly proportional to the square root of the tension divided by the linear mass density of the string.
Therefore, if the string is replaced by another with half the linear mass density, the wave speed will increase by a factor of the square root of 2, or approximately 1.41.
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The factor of which the speed of a wave on the string change is square root of the tension divided by the mass per length, the linear density.
What does the wave speed in a stretched string look like?
v = μT, where T is the string's tension and μ is the mass of the string per unit length.
How does wave speed depend on linear density?The linear density of the rope a wave travels through determines its speed. The speed rises as the linear density decreases. The relationship states that the square root of linear density and speed are inversely related. Thus, a doubling or tripling of speed results from a quartering of the linear density.
Wavelength x Frequency = Speed.
Wave speed and wavelength are related by the wave speed equation (Speed = Wavelength x Frequency). The quantity of waves that move in a wave's frequency is measured in waves per second.
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the net force on a box is in the positive x direction. which of the following statements best describes the motion of the box?
Answers
Its acceleration is parallel to the x-axis
Using Newton Second Law of motion
Where M is mass of the object, \(\overrightarrow{F}\) = Net force,\(\overrightarrow{a}\) = acceleration.
Thus net force and acceleration has always the same direction.
Now net force on the box is in the positive x-direction then acceleration on the box is in the positive x-direction.
Acceleration is given by
\(\overrightarrow{a}\) = \(\frac{d\overrightarrow{v}}{dt}\)
Where \(\overrightarrow{v}\) = velocity of the box and t = time
thus acceleration is parallel to change in velocity but not velocity. Thus it is not necessary that velocity of the box is parallel to the x-axis. Because if initially box is moving in arbitary direction then only its x-component of velocity changes only but another component of velocity remain same.
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The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be
Answers
The exact same. gravity has no effect on mass.
Answer:
The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be LessExplanation:
Name:
Block:
CER: Energy Transfer and The Fire Piston
Using the question below, develop a claim-evidence-reasoning to fully answer and explain
Date:
every part of the phenomenon we looked at in this part of the Unit.
Question: Why does the cotton ignite in the piston?
Claim (your answer to the question; 1 sentence):
Evidence (values, descriptions, and observations that support your claim; 2-3
sentences):
Reasoning (explanation of the evidence to further support your claim; 3-4 sentences
Answers
Answer:
Claim: The cotton ignites in the piston due to the transfer of thermal energy from the compressed air.
Evidence: When the piston is rapidly pushed into the cylinder, it compresses the air inside, causing the air molecules to collide and generate heat. This increase in temperature is then transferred to the small piece of cotton located at the bottom of the piston, causing it to ignite and produce a flame.
Reasoning: The transfer of thermal energy from the compressed air to the cotton occurs due to the process of conduction. The compressed air directly contacts the cotton, transferring its heat energy to the cotton through direct contact. As the temperature of the cotton increases, it reaches its ignition point and starts to burn. Therefore, the cotton ignites due to the transfer of thermal energy from the compressed air through conduction.
I don’t understand why the answer is the first choice, please explain!
Answers
(a) Take into account that the centrifugal force experienced by each car is given by:
\(\begin{gathered} F_1=m\frac{v^2_1}{R_1} \\ F_2=m\frac{v^2_2}{R_2} \end{gathered}\)where v1 and v2 are the speed of both cars and R1 and R2 are the radius of the curve traveled by each car, m is the mass of the cars.
If you solve for m, you obtain:
\(\begin{gathered} m=\frac{F_1R_1}{v^2_1} \\ m=\frac{F_2R_2}{v^2_2} \end{gathered}\)due to the masses of the cars are identical, you have:
\(\frac{F_1R_1}{v^2_1}=\frac{F_2R_2}{v^2_2}\)(b) Now, consider that:
R1 = 2R
v1 = v
R2 = 6R
v2 = 3v
Now, divide the equation for F1 over the equation for F2, replace the previous expressions for the parameters and simplify for F1:
\(\begin{gathered} \frac{F_1_{}}{F_2}=\frac{m\frac{v^2_1}{R_1}}{m\frac{v^2_2}{R_2}} \\ \frac{F_1_{}}{F_2}=\frac{v^2_1R_2}{v^2_2R_1}=\frac{v^2\cdot6R}{(3v)^2\cdot2R} \\ \frac{F_1}{F_2}=\frac{1}{3} \\ F_1=\frac{1}{3}F_2 \end{gathered}\)
Bob and Sarah build an electromagnet by wrapping a wire around a nail and connecting the wire to both terminals of a battery. When they test the electromagnet, it can pick up six paper clips. Their teacher wants all groups to pick up at least 10 paper clips. What revisions could Bob and Sarah make to increase the number of paper clips their electromagnet picks up
Answers
1). Wrap more turns of the wire around the nail.
2). Increase the electrical current through the wire. (Do this by inserting another battery in the circuit, in series with the first one.)
the charge on a capacitor increases by when the voltage across it increases from 97 v to 121 v. what is the capacitance of the capacitor?
Answers
The capacitance of the capacitor can be calculated by using the equation C = Q/V, where C is the capacitance, Q is the charge, and V is the voltage. In this case, the charge is 15 C and the voltage is 24 V, so the capacitance is 15/24 = 0.625 F.
The capacitance of a capacitor is an important parameter to understand when dealing with electricity, as it determines the amount of charge that can be stored within the capacitor. The capacitance of a capacitor can be increased by increasing the area of the capacitor’s plates, reducing the distance between the plates, or increasing the dielectric constant of the material between the plates.
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Explain the Law of Reflection
Answers
Answer:
The angle of incidence is equal to the angle of reflection.
Explanation:
angle of incidence (i) = angle of reflection (r)
So if the angle of incidence was 45°, the angle of reflection would also be 45°.
What is matter made of ? Will mark as brainliest to answer
Answers
Answer:
Explanation:
All matter is made up of atoms, which are turned up of protons, neutrons and electrons.
They bond together to make up matter
Answer:
Atoms
Explanation:
All matter is made up of atoms, which are in turn made up of protons, neutrons and electrons. Atomess come togetheer to forms molecules, which are the building blocks for all types of matter
Check all items that are a function of cerebrospinal fluid. a. Production of cranial glial cells b. Provides bouyancy to the brain c. Protects the brain from sudden movements d. Controls the chemical environment surrounding the brairn
Answers
The functions of cerebrospinal fluid includes provides buoyancy to the brain , protects the brain from sudden movements and controls the chemical environment surrounding the brain.
What is cerebrospinal fluid?The brain's ventricles, as well as the subarachnoid spaces of the cranium and spine, are site to the ultrafiltrate of plasma known as cerebrospinal fluid (CSF). It carries out crucial duties such as supplying the brain with food, removing waste, and protecting it.
CSF helps the brain by offering defense, nutrition, and waste elimination. Through two ways, CSF protects the neuroaxis hydromechanically. As a stress absorber, CSF first cushions the brain against the skull..
Maintaining the interstitial fluid of the brain's homeostasis is another role of CSF. Normal neuronal function requires a steady environment for the brain parenchyma.
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a spring has a length of 0.278 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 3.22 kg mass hangs from it. what is the force constant of the spring? (use 9.8 m/s2 for g.)
Answers
0.278 m when a load of 0.300 kg hangs from it, and 0.750 m when a mass of 3.22 kg hangs from it, a spring will exert 29.4 N/m of force.
What is physics of force K?K stands for the proportionality constant, commonly referred to as the "spring constant." In layman's words, stiffness and strength are shown by the k variable in Hooke's law (F = -kx). An object requires more force to be stretched to a specific length the greater the value of k.
What does k) stand for?The electrostatic constant, also known as the Coulomb constant, electric force constant, or K, is a proportionality constant in electrostatics equations. It is equivalent to 8.9875517923(14)109 kgm3s4A2 in SI base units.
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Help me please with the steps
Answers
Answer:
Explanation:
I think it's wrong but I tried my best..
why does the equivalent resistance decrease as more resistors are added to a parallel circuit?
Answers
In a parallel circuit, each resistor is connected to the same voltage source and has its own path for the current to flow. As more resistors are added to the circuit, the total amount of current flowing through the circuit increases.
This is because the total resistance of the circuit decreases, as each added resistor provides an additional path for the current to flow.
According to Ohm's law, the current in a circuit is directly proportional to the voltage and inversely proportional to the total resistance. As the total resistance of the parallel circuit decreases, the current flowing through the circuit increases. This results in a decrease in the equivalent resistance of the circuit, which is the total resistance seen by the voltage source.
Additionally, the addition of more resistors in parallel increases the overall conductance of the circuit. Conductance is the reciprocal of resistance, so as the conductance of the circuit increases, the resistance decreases. This further contributes to the decrease in equivalent resistance as more resistors are added to a parallel circuit.
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The first drop on Goliath is 228 ft. It takes 6 seconds to go down the drop. What is the speed at the bottom in m/s (1ft = 0.3048 m)?
Answers
Answer:
58.8 m/s.
Explanation:
To answer this question, we need to use the formula for the final velocity of a free fall object:
v = v₀ + gt
where v is the final velocity, v₀ is the initial velocity, g is the acceleration due to gravity, and t is the time of fall.
We can assume that the initial velocity of the roller coaster at the top of the drop is zero, since it starts from rest. We can also assume that the acceleration due to gravity is 9.8 m/s², which is a reasonable approximation for Earth’s surface. We are given that the time of fall is 6 seconds.
However, we need to convert the height of the drop from feet to meters, since we want the final velocity in m/s. We can use the conversion factor that 1 ft = 0.3048 m. So,
228 ft × 0.3048 m/ft = 69.5 m
Now we can plug in the values into the formula and solve for v:
v = v₀ + gt v = 0 + 9.8 × 6 v = 58.8 m/s
Therefore, the speed at the bottom of the drop is about 58.8 m/s.
A light bulb is rated at 25 w when operated at 120 v. how much charge enters (and leaves) the light bulb in 1.0 min?
Answers
The amount of charge that enters and leaves a light bulb can be calculated using the formula: charge = power × time
Given that the power of the light bulb is 25 W and the time is 1.0 min, we can calculate the charge as follows:
charge = 25 W × 1.0 min
To proceed with the calculation, we need to convert minutes to seconds, as the unit of power is in watts:
1.0 min = 60 s
Now we can calculate the charge:
charge = 25 W × 60 s
Multiplying the values, we get:
charge = 1500 J
Therefore, the amount of charge that enters and leaves the light bulb in 1.0 min is 1500 joules (J).
The amount of charge that enters and leaves the light bulb in 1.0 min is 1500 joules (J).
The amount of charge that enters and leaves a light bulb is determined by the power rating of the bulb and the time it is operated for. In this case, the light bulb is rated at 25 watts (W) and is operated for 1.0 minute (min).
To calculate the charge, we use the formula charge = power × time.
First, we need to convert the time from minutes to seconds, as the unit of power is in watts. Once we have converted the time to seconds (1.0 min = 60 s), we can multiply the power of the bulb (25 W) by the time (60 s) to find the charge.
The calculation gives us a result of 1500 joules (J). Therefore, the amount of charge that enters and leaves the light bulb in 1.0 min is 1500 joules (J).
The charge that enters and leaves the light bulb in 1.0 min is 1500 joules (J).
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Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are
accurate to 2 significant figures, what is the equivalent resistance between points A and B?
Answers
The equivalent resistance between points A and B in the diagram is 22 Ω
How do I determine the equivalent resistance?We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:
Resistor 1 (R₁) = 6 ΩResistor 2 (R₂) = 6 ΩResistor 3 (R₃) = 6 ΩEquivalent resistance (Rₜ) = ?1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃
1/Rₜ = 1/6 + 1/6 + 1/6
1/Rₜ = 3/6
1/Rₜ = 1/2
Rₜ = 2 Ω
Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:
Resistor 1 (R₁) = Resistor 2 (R₂) = ... = Resistor (R₁₁) = 2 ΩEquivalent resistance (R) =?R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁
R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2
R = 22Ω
Thus, we can conclude that the equivalent resistance is 22 Ω
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Do you predict that the αα helix and ββ sheet are amphiphilic or not? Briefly explain. The α helix and β sheet are amphiphilic because the folding of the helix next to the sheet requires the formation of a hydrophobic core.
Answers
The α helix and β sheet are predicted to be amphiphilic.
An amphiphilic molecule or structure contains both hydrophobic and hydrophilic regions. In the case of the α helix and β sheet, the folding of these structures requires the formation of a hydrophobic core, which is formed by the side chains of the amino acids that are buried within the helix or sheet.
At the same time, the backbone of the helix or sheet is exposed to the surrounding water, making it hydrophilic. This combination of hydrophobic and hydrophilic regions makes the α helix and β sheet amphiphilic in nature.
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How many atoms are there in 0,23 g Na?
Answers
Answer:
There are 6.02*10^23 atoms in each mole (Avagadro no.) That is x moles * avagadro no. According to that, in 23 grams of sodium we have 6.02*10^23 atoms of Na.
Explanation:
Protein helps the body?
Answers
is 35 k/m a velocity?
Answers
Answer:
No
Explanation:
the unit of velocity is m/s and the velocity is written as 35m/s not 35 k/m
g. Write the merits and demerits of ultraviolet rays.
Answers
Answer:
UV rays aid in the production of Vitamin D. But it can also give you cancer.
Explanation:
i am a scientist
Want in own words please
What determines whether something is solid or liquid or gas
Answers
Answer:
An object could be determined as solid:
-It doesn't change shape easily.
-when lots of heat applied till melting point, it would melt or thaw (basically turn into liquid).
-turn to pieces or bent when enough force applied to it.
-the molecules attached with each other by strong forces, creating strong bonds.
An object could be determined as liquid:
-It changes shaped based on the container.
-when lots of heat applied till boiling point, it would vaporize
-the molecules have weak bonds, creating a lot of spaces.
-when heat extracted from the liquid till freezing point, it would freeze/hardened (turn into solid)
An object could be determined as gas:
-it doesn't have any shape or form.
-if fills in the container.
-if lots of heat applied, its molecules are going to move, vibrate,and transist faster; increasing pressure and volume.
-The molecules have very weak bonds, creating spacious space.
-when the heat are being extracted till certain freezing point, it is going to turn into liquid, then solid.
During the pyramid-building era the ancient Egyptians used two units of length, the palm and the ell. An ell was 7 palms and a palm was about 3 inches. If a hawk is tracked at a diving speed of 3 ells per second, what is its speed in inches per second? 1. 42 in/s 2. 5.25 in/s 3. 0.7 in/s 4. 126 in/s
Answers
Knowing that the units of the ancient Egyptians were palm and ell, where 1 ell was 7 palms and 1 palm was 3 inches, the speed of a hawk tracked as 3 ells/s is equal to 63 in/s. The given options are not the correct ones.
We have that:
1 ell = 7 palms
1 palm = 3 inches
v: is the speed of the hawk = 3 ells/s
To find the speed of the hawk in inches per second, we need to convert 3 ells/s to in/s, as follows:
\( v = 3 \: \frac{ells}{s}*\frac{7 \: palms}{1 \:ell}*\frac{3 in}{1 \: palm} = 63 \frac{in}{s} \)
Therefore, the speed of the hawk is 63 inches per second. The given options are not the correct ones.
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During anomalous expansion of water ,heat transfer is limited to conduction and radiation only ,explain.
Answers
Heat transfer is limited to conduction and radiation only in anomalous expansion of water simply because of the temperature at which the expansion occurs and density
What is anomalous expansion of water?Anomalous expansion of water is a property of water in which water expands instead of contracting.
Anomalous expansion of water makes water less dense. The major effect of this anomalous expansion it will still remain less dense and at the surface of water.Interestingly, this expansion occurs when it is cooled from 4°C to 0°C.Learn more about properties of water:
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a charge is placed 33 cm away from another charge. the charges are both 1.2 x 10^-5 coulombs. what is the force on each other
Answers
1.44*10^-3N is the force on each other. when 33 centimeters separates one charge from another charge. They both have charges of 1.2 x 10-5 coulombs.
Charge on the first sphere, q 1 =1.2 x 10^-5 C
Charge on the second sphere, q 2 =1.2 x 10^-5 C
Distance between the spheres, r=30cm=0.3m
F= 4πε
q 1 q 2/ r2
Where, ε 0
= Permittivity of free space 4πε 0
=9×10^9Nm2
F= (0.33) 2
1.2 x 10^-5 * 1.2 x 10^-5 C = 1.44*10^-3N
Hence, force between the two small charged spheres is 1.44*10^-3N.
The charges are of same nature. Hence, force between them will be repulsive.
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Which statement describes an endothermic reaction? A. Energy is released by the reaction. B. Energy is absorbed by the reaction. C. No energy is transfered by the reaction. D. Energy is created in the reaction.
Answers
Answer:It's B energy is absorbed by the reaction,hope this helps
Explanation:
Any reaction in which energy is absorbed is said to be endothermic. Hence, option B is correct, but the rest are not correct.
What is an Endothermic Reaction?In every chemical process, energy is involved. When new bonds form in products, energy is produced. Reactant bonds are broken using energy. Exothermic reactions are those that produce more energy when new bonds form in the products than is needed to break existing bonds in the reactants.
In contrast, endothermic reactions are the opposite. Endothermic reactions release more energy when new bonds form in the products than is required to break bonds in the reactants.
During the reaction, a large amount of energy is absorbed.
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