9[tex]\^{i}[/tex]+8[tex]\^{j}[/tex]/[tex]\sqrt{136}[/tex]
F=(9.00i-8.00j)N
we are now to find the unit vector
according to formula
unit vector = [tex]\frac{vector of F}{Magnitude of F}[/tex]
Now :
vector form of F = 9[tex]\^{i}[/tex]+8[tex]\^{j}[/tex]
magnitude of F =[tex]\sqrt{9^2+8^2}[/tex]
magnitude of F=[tex]\sqrt{136}[/tex]
now put that in formual
unit vector = 9[tex]\^{i}[/tex]+8[tex]\^{j}[/tex]/[tex]\sqrt{136}[/tex]
When a normal vector's magnitude is one, or unit, it is said to be a unit normal vector.Normal vectors, often known as perpendicular to surfaces, are vectors that, at the provided coordinates, are normal to surfaces. The normal pointing inside and the normal pointing outside the surface are often identified when perpendiculars are obtained on closed surfaces.Normal vectors are often denoted by the letters "N" or "n," and occasionally with a cap to specifically denote the unit normal vector.To know more about unit vector visit : https://brainly.com/question/28028700
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Which of the following findings would support the giant impact hypothesis?
The percentage of oxygen in the Moon’s outer layers is identical to that in Earth’s.
The percentage of oxygen in the Moon’s outer layers is much lower than that in Earth’s.
The percentage of oxygen in the Moon’s outer layers is similar to that in Earth’s.
The percentage of oxygen in the Moon’s outer layers is much higher than that in Earth’s.
The support for the hypothesis lies in the fact that; the percentage of oxygen in the Moon’s outer layers is much higher than that in Earth’s.
What is a hypothesis?The term hypothesis has to do with a claim or an explanation of an observation or a phenomenon. The explanation often seeks to shed more light in order to make the meaning of the phenomenon clearer.
The giant impact hypothesis was one of the theories that were put forward to explain the origins of the moon. We know that the origins of the moon have always been a very important subject of scientific study.
The giant impact hypothesis holds that the moon was formed from the debris that were collected when an object collided against the earth after it was just formed.
This hypothesis is often backed by the fact that there are still many striking similarities between the earth and the moon. Hence, the percentage of oxygen in the Moon’s outer layers is much higher than that in Earth’s.
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Cheesecloth is a type of cotton cloth used by cooks. Write a paragraph explaining why a cook might wrap a lemon wedge in cheesecloth before squeezing juice from the lemon. What process for separating mixtures is the cook using?
Filtration is the process. Cheesecloth is a loosen woven cloth is primarily use in the preparation of cheese making and cooking.
the lemon wraps are made of a finely woven fabric that acts as a filter for the garnish, allowing you to squeeze lemon juice onto your plate while preventing unwanted seeds and pulp from coming into contact with your food. It also allows customers to work with citrus fruits without direct contact and can be used to stuff specialty teas, fruit punches, or other beverages with lemon wedges.
These wraps are convenient and effective. Not only is it aesthetically pleasing, but it can be an aesthetically pleasing addition to your diet. Our Yellow Lemon Flat Wraps and Green Ribbons are perfect for restaurants looking to enhance the presentation of their beverages and food.
The process for separating mixtures is the cook using is filtration using a strainer or a cheese cloth to get the juice.
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I need help with these two problems please and thank you
The value of A in the linear equations are 0.0484 and 29.87.
What is linear equation?a) Part A
y = x/(AB)
A=x/By
A = 3.60/(5.55*13.4)
A = 0.0484
b) Part B
y = Ax + [tex]1/2 Bx^{2}[/tex]
A = ( y - [tex]1/2 Bx^{2}[/tex])/x
A = 29.87
In a linear equation, there are just one or two variables. A linear equation's rules state that no variable can be divided by a sum greater than one or utilized as the denominator of a fraction. When the values that make a linear equation true are determined and plotted on a coordinate grid, all the points fall on the same line.
The slope, x-intercept, and y-intercept are the components of the standard form, which is written as ax+by+c=0 an x + b y + c = 0.
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How many quarts are equal to 5 pounds of ethanol? The density of ethanol is 0.789 g/mL.
The required quarts that is equals to 5 pounds of ethanol would be 3 quarts if the density of ethanol is 0.789 g/mL.
What is the density?Density is the ratio of mass and volume.
density = mass/volume
The density of ethanol is 0.789 g/mL.
Convert pounds to grams
∵ 1 pounds = 453.592 grams
∴ 5 pounds = 2267.96 grams
So the mass of ethanol would be 2267.96 grams
Density Equation
density = mass/volume
Solve for volume.
volume = mass / density
volume = 2267.96 g / (0.789 g/mL)
volume = 2267.96 g / (0.789 g/mL)
volume = 2874.47 mL
Convert milliliters to quarts.
∵ 1 mL = 0.00105669 quarts
⇒ 2874.47 mL × 0.00105669 qt /1 mL
⇒ 3 quarts
Hence, the volume of ethanol would be 3 quarts.
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A ball is thrown vertically upward witha speed of 27.8 m/s. How high does it rise? The acceleration due to gravity os 9.8 m/s. Answer in units of m
The maximum height that is attained by the ball is 39.4 m.
What is the maximum height?The maximum height refers to the highest position that a ball reaches when it is thrown up. Now we know that we could be able to obtain this maximum height by the use of the equations of kinematics for the body that is undergoing motion under gravity.
Now we know that;
v^2 = u^2 - 2gh
v = final velocity
u = initial velocity
a = acceleration due to gravity
h = height of the object
Now;
v = 0 m/s at the maximum height thus;
u^2 = 2gh
u^2/2g = h
h = (27.8 m/s)^2/ 2 * 9.8 m/s^2
h = 772.84/19.6
h = 39.4 m
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In this problem, assume that the sling, when unfolded, was roughly =5.75 ft in total length and that the rock weighed a half a pound.
If David whirled the sling such that the sling was at an angle =4.43∘ below the horizontal, with what speed did the rock strike Goliath? Assume there is no air friction and that the drop in height due to gravity is minimal.
Suppose David missed. What distance would the rock travel before striking the ground if David released it from a height of =4.75 ft? Assume there is no air friction.
The rock from the sling will hit Goliath at the speed of 6m/s and if it didn't hit Goliath then it continues its trajectory and hits ground at the velocity of 14 m/s due to longer surfing in the air by the rock.
What is Newton's law of motion?Newton gave three laws of motion which can be utilised to find the velocity, acceleration and displacement of a body. These laws are only applicable for constant acceleration.
Given:
Distance of the sling when pulled = 5.75 ft
Angle with the horizontal = 4.43°
Distance from the ground = 4.75 ft
1) In the first case The Rock hits Goliath in mid air.
We have all the values required for calculation of the final velocity of the rock while it hits Goliath we will have to just substitute these values in Newton's first law of motion.
Where,
Initial velocity of the rock 6.89m/s
On substitute this values in Newton's first law of motion we get.
Final velocity = 6.72 + π × 6.98 g -9.8e
Final velocity = 6 m/s
2) If the rock does not hit Goliath then the rock will continue the trajectory for some longer. It is given in the question that the distance between these links and the ground is equal to 4.75 feet.
Adding the progression value in the velocity with which it hits the Goliath.
We get, the velocity of the rock when hits the ground equal to = 14m/s.
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help !!!! correct answer only
Answer:
the answer is c
Explanation:
because its c
A toy helicopter flies forward with a force of 15 N into an oncoming wind of 10 N. The force of gravity pulls the helicopter down with a
force of 5 N, but the propeller is providing an upward force of 10 N.
Which of the following accurately describes the helicopter's force?
(1 point)
The toy helicopter is flying forward with a force of 15 N and upward with a force of 10 N.
O The toy helicopter is flying forward with a force of 10 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 15 N.
O The toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
D. The toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N".
What is net force?The net force of an object is the resultant force of the object
The sum of the forces acting on the object is the net force of the object.
sum of the vertical forces = force of gravity + upward force
sum of the vertical forces = - 5N + 10 N = 5 N
sum of the horizontal forces = forward force + force of wind
sum of the horizontal forces = 15 N - 10 N = 5 N
Thus, statement that describes the helicopter's force is "the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N".
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Once an abject is in motion what type of energy is being used?
Answer:
The object is using kinetic energy if it is in motion
Explanation:
Hope this helps and may God bless you<3
Multiple Choice
What is one of the most famous examples of early 1900s investigative journalism in regard to consumer advocacy?
O Upton Sinclair's The Jungle
O J. D. Salinger's Catcher in the Rye
O Harper Lee's To Kill a Mockingbird
O Aldous Huxley's Brave New World
Question
Answer:
Upton Sinclair's:The Jungle
Explanation:
The novel portrayed the harsh conditions of immigrants in the United States in industrialized cities.
A (2.0 mu{F}) capacitor is charged by a 12 volt battery. It is disconnected from the battery and then connected to an uncharged (5.0 mu{F}) capacitor. Determine the total energy stored before the two capacitors are connected and after they are connected
The correct anser is 0.17 J
Similar to a miniature rechargeable battery, the capacitor is an electric component with the capacity to store energy in the form of electrical charges that produce a potential difference, or static voltage.
C = 2 μF = 2 × 10^-6 F = C_1
V= 12 V
C_2 = 5 μF
The electrostatic energy of capacitor's = 1/2 CV^2 = 1/2 (2 × 10^-6) (12^2)
=1/2 (2 × 10^-6) (144)
= 144 × 10^-6 J
This capacitor has a charge on it,
Q = CV = (2 × 10^-6)(12)
= 24 × 10^-6
= 2.4 mC
When two capacitors of capacitances C_1 and C_2 are connected in parallel the equivalent capacitance C
= C_1 + C_2
= 2 μF + 5 μF
= 7 μF = 7× 10^-6
The energy of the system = Q^2/2C
= (2.4 × 10^-3)^2 / 2 ( 7× 10^-6 )
= 2.4 × 10^-6 / 2 ( 7× 10^-6 )
= 2.4 / 14
= 0.17 J
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Mixed Martial Artists (MMA fighters) can really pack a punch. The average fighter can generate
5,000 N of force. This means that the fighters arm and fist has to decelerate at 877 m/s/s. How
much mass does the fighters arm have?
The mass of the fighter's arm, given that it can generate 5000 N of force is 5.7 Kg
How to determine the mass of the fighter's armForce, mass and acceleration are related according to the following formula:
Force = mass × acceleration
With the above formula, we can determine the mass of the figter's arm. This is illustrated below:
Force (F) = 5000 NAcceleration (a) = 877 m/s/sMass (m) =?Force = mass × acceleration
5000 = mass × 877
Divide both sides by 877
Mass = 5000 / 877
Mass = 5.7 Kg
From the calculation made above, we can conclude that the mass of the fighter's arm is 5.7 Kg
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