Answer:
foot ball.
Explanation:
exercise is the specific method which helps one's own health both physical and mental health. Mental hygienic is purely rely on the physical health well-being. playing the football needs to run from one station or position to another positiin. in the due process, the flow of blood of the individual circulate faster than other rest days as a result of this, fats in the arteries are burnt down.Blood pressure remains constant as always. Diabetes will be free for the people who plays football because carbohydrates are also burnt down into simpler form of the substance thereby releasing the required amount of energy.
10th
According to the Law of Conservation of Energy, when one form of energy is
transformed into another,
energy is lost in the process
5
According to Law of Conservation of energy ,
One form of energy is transformed into another form of energy and there is no loss of energy in the transformation process.
The law of conservation of energy states that the energy can neither be created nor be destroyed only converted from one form of energy to the other form of energy means that the system always has the same amount of energy , unless its's added from the outside.
The only way to use energy is to transform energy from one form to another form.
example - Heat energy is transformed into Kinetic and Potential energy.
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A football thrown by a professional quarterback goes farther than one thrown by a 10-year old. What Newton Law is this?
Answer:
2nd law of motion
Explanation:
Answer:
Newton's 2nd Law of Motion
Explanation:
The amount of force needed to make an object change its acceleration depends on the mass of the object. In other words, the amount of force thrown by a professional quarter-back has more acceleration from his mass.
What do you know about nuclear energy?
Answer:
Nuclear energy comes from splitting atoms in a reactor to heat water into steam, turn a turbine and generate electricity. Ninety-three nuclear reactors in 28 states generate nearly 20 percent of the nation's electricity, all without carbon emissions because reactors use uranium, not fossil fuels.
please follow meWILL MARK BRAINLIEST (real answers only please)
A driver on a rural road slams on the brakes to avoid hitting a cow and comes to a stop. Skid marks made while the brakes were applied are 280 feet long. If the tread on the tires produced a coefficient of kinetic friction of 0.3 with the road, how fast was the car moving? 1 m/s=2.237 mph.
35 mph
25 mph
45 mph
50 mph
Answer:
The car moving with speed 50 mph
Explanation:
We are given that
Distance, s=280 feet=85.3 m
1 feet=0.3048 m
Coefficient of kinetic friction=\(\mu_s=0.3\)
1 m/s=2.237 mph
We have to find the speed of car moving.
Speed, v=\(\sqrt{2\mu_s gs}\)
Where \(g=9.8ms^{-2}\)
Using the formula
Speed of the car,v=\(\sqrt{2\times 0.3\times 9.8\times 85.3}\)
Speed of the car,v=22.4 m/s
Speed of the car, v=\(22.4\times 2.237\approx 50 mph\)
Hence, the car moving with speed 50 mph
Option d is true.
two cars start moving from the same point. one travels south at 56 mi/h and the other travels west at 42 mi/h. at what rate (in mi/h) is the distance between the cars increasing two hours later? mi/h
To solve this problem, we need to use the Pythagorean theorem to find the distance between the two cars.
After two hours, the car traveling south will have gone 56*2 = 112 miles, and the car traveling west will have gone 42*2 = 84 miles. If we draw a right triangle with the two cars at the vertices of the right angle, then the distance between them is the hypotenuse of the triangle. Using the Pythagorean theorem, we have:
distance^2 = 112^2 + 84^2
distance^2 = 12,544 + 7,056
distance^2 = 19,600
distance = sqrt(19,600)
distance = 140 miles
To find the rate at which the distance between the cars is increasing, we need to take the derivative of the distance equation with respect to time. Since both cars are moving at a constant speed, we can use the chain rule to get:
d(distance)/dt = (d(distance)/dx) * (dx/dt) + (d(distance)/dy) * (dy/dt)
where x is the distance traveled by the car traveling west, y is the distance traveled by the car traveling south, and t is time. Taking the derivatives, we have:
d(distance)/dx = 2x/2(distance) = x/distance
d(distance)/dy = 2y/2(distance) = y/distance
dx/dt = 42 mph
dy/dt = 56 mph
Substituting in the values we know, we get:
d(distance)/dt = (84/140) * 42 + (112/140) * 56
d(distance)/dt = 0.6 * 42 + 0.8 * 56
d(distance)/dt = 25.2 + 44.8
d(distance)/dt = 70
Therefore, the rate at which the distance between the two cars is increasing two hours later is 70 miles per hour.
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Help mee what molecule is this
how am I supposed to know
Why do our eyes see the color red when we look at a tomato?
A. Tomatoes emit red light.
B.Tomatoes reflect red light and absorb green and blue light.
C. Tomatoes absorb red light and reflect green and blue light.
D. Tomatoes reflect all colors of light, but our eyes only absorb red light,
Answer:
B. Tomatos reflect red light
Explanation:
The only reason colors exist is because the objects with color reflect all other light except for what they are portrayed as. White reflects all colors, and black absorbs all colors.
If you have any questions feel free to ask :)
Answer:
Explanation: the pigment atoms in the skin absorb photons of all energies except those that correspond to red wavelengths of light, which they reflect back to your eye.
B is more likely the answer
the voltage used by most households can be modeled by a sine function. The maximum voltge is 120 volts, and there are 60 cycles every second. Write an equation to represent the value of the voltage as it flows through the electric wires, where t is time in seconds
The required equation for the sine function can be written as; V = 120sin120πt
What is a sine function?A sine function is a regular repeating function. We know that the voltage is represented using a sine function of the general form V= V-o sin2πft
Hence;
f = 60 cycles per second
V-o = 120 volts
So from the values that we have stated above;
V = 120sin120πt
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The planet Earth orbits around the Sun and also spins on its own axis.
a) Calculate the angular momentum, in kilogram meters squared per second, of the Earth in its orbit around the Sun.
b) Calculate the angular momentum, in kilogram meters squared per second, of the Earth spining on its axis.
c) How many times larger is the angular momentum of the Earth in its orbit than the angular momentum of the
Earth spinning on its axis?
In its orbit around the Sun, Earth has an angular momentum of 2.661 1040 kg/m2/s.
what is angular momentum?A rotating object's property that is determined by its moment of inertia multiplied by its angular velocity is known as angular momentum. It is a characteristic of rotating bodies determined by their combined moments of inertia and angular velocities.
What governs angular momentum?In the equation for angular momentum, L stands for angular momentum, I for rotational inertia, and (the Greek symbol omega) for angular velocity. This can be put more simply by saying how an entity's angular momentum is equal to the sum of its mass, speed, and separation from the point of rotation.
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an antireflection coating on eyeglasses employs a thin-film coating on the lenses. if the coating is designed properly, what happens to the light reflected from the film?
Please Help!!!!
A helicopter flies with an airspeed of 42.5 m/s [W]. If the wind is traveling with a velocity of 25.0 m/s [E30°S] relative to the ground then determine the velocity of the helicopter relative to the ground.
a) Use the data from the question to determine the velocity components for the helicopter’s speed relative to the air and the wind’s speed relative to the ground.
b) Use your velocity components from part (a) and determine the resultant velocity for each component. (In other words, determine the resultant horizontal component for the helicopter’s ground speed and the resultant vertical component for the helicopter’s ground speed).
c) Using your data, determine the resultant velocity of the helicopter relative to the ground.
Answer:
a) The vertical component of the helicopters speed relative to the air = 0 m/s
The horizontal component of the helicopters speed relative to the air = -42.5 m/s
The vertical component of the wind speed relative to the ground = -21.65 m/s
The horizontal component of the wind speed relative to the ground = 12.5 m/s
b) The x-component of the helicopter speed relative to the wind speed = -30 m/s
The y-component of the helicopter speed relative to the wind speed = -12.5 m/s
c) The resultant speed of the helicopter relative to the ground is 32.5 m/s in the direction of W 22.6° S
Explanation:
The speed of the helicopter = 42.5 m/s
The direction of flight of the helicopter = West
The wind speed = 25.0 m/s
The direction of the wind = E30°S
a) The velocity components of the helicopters speed relative to the air are;
Vertical component = 0 m/s
Horizontal component = -42.5 m/s
The velocity components of the wind speed relative to the ground are;
Vertical component = -25 × cos(30) = -21.65 m/s
Horizontal component = 25 × sin(30) = 12.5 m/s
b) To find the speed of the helicopter relative to the wind we have;
x-component of the helicopter speed = -42.5 m/s
y-component of the helicopter speed = -0
x-component of the wind speed relative to the ground = 25×sin(30) = 12.5 m/s
y-component of the wind speed relative to the ground = -25×cos(30) = -21.65 m/s
Therefore, the x-component of the helicopter speed relative to the wind speed = -42.5 + 12.5= -30 m/s
the y-component of the helicopter speed relative to the wind speed = 0 + (-12.5) = -12.5 m/s
c) The resultant speed of the helicopter relative to the ground is given by the relation;
\(v_{h, ground} =\sqrt{(v_{h,horizontal})^2 + (v_{h,vertical})^2}\)
= √((-30)² + (-12.5)²) =32.5 m/s
The direction of motion from the x-axis is given as follows;
\(tan(x) = \dfrac{Vertical \ velocity \ component}{Horizontal \ velocity \ component} = \dfrac{-12.5}{-30} = \dfrac{5}{12}\)
\(x = tan^{-1} \left (\dfrac{5}{12} \right ) = 22.62 ^{\circ}\)
Therefore, the helicopter is flying at 32.5 m/s in the direction of W 22.6° S.
A force of 120 N is applied to the front of a sledge at an angle of 28.00 above the horizontal so as to pull the sledge a distance of 165 meters. How much work was done by the applied force?
Answer:
Workdone = 17482.36 Joules
Explanation:
Given the following data;
Force, F = 120 N
Angle, d = 28.0°
Distance, x = 165 m
To find the work done, we would use the following formula;
Workdone = FxCosd
Substituting into the formula, we have;
Workdone = 120*165*Cos(28)
Workdone = 19800 * 0.8830
Workdone = 17482.36 Joules
A person exerts a force on a box that is at rest on the Earth. The arrows
in the diagrams shown represent the direction of the applied force. Does
the gravitational potential energy of the box change in case A?
Gravity operates as the action force, pulling the book toward the table, and the normal force of the table, acting as the reaction force, pushing the book higher.
What is meant by gravitational potential energy?A massive object's potential energy in relation to another massive object because of gravity is known as gravitational energy or gravitational potential energy. The energy that is released when the items fall toward one another is the potential energy associated with the gravitational field.
The potential energy associated with gravitational force is known as gravitational energy because it takes effort to lift items out of the gravitational pull of the Earth. Water in an elevated reservoir or kept behind a dam is evidence of gravitational potential energy, which is the potential energy resulting from elevated locations.
The book is being pulled toward the table by gravity, which acts as the action force, and is being pushed upward by the table's normal force, which acts as the reaction force.
When an object is present in a gravitational field, it has or can acquire gravitational potential energy, which is the energy that results from a change in position. Gravitational potential energy is an energy that is connected to gravitational force or gravity, to put it simply.
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If u have it, u want to share it. If u share it u dont have it.
what is it?
I think its a secret!!
Answer:
uhh, uhh i think it's a carrot?
nah a secret
Explanation:
prototype) The lower part of the walls of a house (near the floor) appear dump and begin to peel off a few years after construction. This happens most especially when the house is constructed in a location near wetlands. Task: Advise someone who wants to construct a house with walls that do not peel.
Answer:
Here's a list of a few reasons behind cracked or chipped walls:
Moisture-laden walls
Weather conditions
Incompatibility with the surface
Inferior-quality paints
Let’s discuss each of them one by one.
Explanation:
Lots of moisture
In a house, bathroom and kitchen are the two places where there is a lot of moisture and dampness. Therefore, you will see that these places are the first to report the problem of flaky paint. When moisture is absorbed, it passes through various coats of paint, removing the adhesive that sticks the paint to the wall. Therefore, you can spot paint coming off in the form of flakes or like a banana peel. This shows the extra moisture in the walls need to be addressed immediately.
Too much sunlight
Paint often chips off walls due to high temperatures. If direct sunlight hits the walls all day, it can cause the paint to dry out faster. The oil paints start to crack, while latex paints lose their quality to stick to the walls.
Incompatible paints
When painting, it is extremely important to use the same kind of paint on the surface that’s being coated. For instance, if it is latex paint, it isn’t compatible with oil-based paints and shouldn’t be painted on top of each other. If you are planning to use the leftover oil-paint as a second coat over the base coat of latex paint, then be prepared to see the paint coming off sooner than expected.
Also, make sure the surface on which you are about to paint is compatible with the paint you are using. For instance, smooth surfaces require a certain kind of paint and layering that keeps the coating intact. For uneven surfaces, it’s better to go for textured paint. It is important to prime and prep the surface first before applying a coat of paint to make sure the paint doesn’t come off easily.
Low-quality paints
Some paints seem good, especially to your wallet, but once you use them, you will face bad consequences. Inferior-quality paints do not adhere to the walls properly and also do not give a nice finish once the paint job is done. To avoid cracks in the walls, do not use low-quality or expired paints.
what is the name of the part of the microscope that the objectives are attached to? (choose the best answer)
The part of the microscope that the objectives are attached to is called the (C) nosepiece.
The nosepiece is a rotating mechanism located below the microscope's body tube. It holds the objectives, which are the lenses responsible for magnifying the specimen. The nosepiece typically has multiple positions, allowing the user to switch between different objective lenses for varying levels of magnification.
This convenient feature eliminates the need to manually remove and replace objectives when changing magnification. By rotating the nosepiece, different objectives can be brought into position above the specimen. This allows for quick and efficient adjustments in magnification without disrupting the viewing process.
Hence, the nosepiece plays a critical role in the microscope's functionality by providing a convenient way to switch between objectives and adjust the magnification level.
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Here is the complete question:
What is the name of the part of the microscope that the objectives are attached to? (Choose the best answer)
A. Ocular
B. Stage
C. Nosepiece
D. Arm
Which resource can be included in a lightning component bundle?
The Lightning Component bundle framework is a UI framework for developing single page applications for mobile devices and desktop devices like for windows and laptops.
Which resource can be included in a lightning component bundle?A Lightning Component bundle developed with the Aura programming model can have three JavaScript files. A created lightning component is a bundle of code. The bundle contain all that resources related which are required to a component like java script controller, java script helper, renderer, CSS styles, etc. A basic lightning component bundle contains the design of a page with some kinds of lightning tags.
So we can conclude that: The Lightning Component bundle framework is a UI framework for developing single page applications for mobile devices and desktop devices like for windows and laptops.
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Name one process that requires a force in the human body. Hint: the question is asking about something happening inside of the body like muscle contractions.
Answer:
Movement
Explanation:
A rubber band has an un-stretched length of 0. 10m. If someone picks up a paper clip that has a mass of 10g (0. 010kg) and pulls back on it with a rubber band to a distance of. 25 m. With what speed would the paper clip be launched horizontally? The spring constant of the rubber band is 15 N/m
The speed at which the paper clip be launched horizontally, given that the paper clip has a mass of 0.01 Kg is 5.81 m/s
How do I determine the speed?We'll begin by obtaining the energy stored in the stored in rubber. This is shown below:
Initial length = 0.10 mNew length = 0.25 mExtension (e) = 0.25 - 0.10 = 0.15 mSpring constant (K) = 15 N/mEnergy stored (E) =?E = ½Ke²
E = ½ × 15× 0.15²
E = 7.5 × 0.0225
E = 0.16875 J
Finally, we shall determine the speed. Details below:
Mass (m) = 0.01 KgEnergy (E) = 0.16875 JSpeed (v) = ?KE = ½mv²
0.16875 = ½ × 0.01 × v²
0.16875 = 0.005 × v²
Divide both side by 0.005
v² = 0.16875 / 0.005
Take the square root of both side
v = √(0.16875 / 0.005)
v = 5.81 m/s
Thus, the speed is 5.81 m/s
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Br
A tow truck pulls a 1,500 kg car with a net force of 2,000 N. What is the
acceleration of the car? DO NOT FORGET CORRECT UNITS.
Answer:
a = F/m = 4000/1500 = 2.66m/s^2
Explanation:
A tow truck pulls a mass of 1500 kg with a force of 2000 N then the acceleration of the truck will be equal to 1.33 m/s².
What is Force?A force in physics is an input that has the power to change an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe forces.
Being such a vector quantity, a force does have magnitude and direction. The SI unit metric newton is used to measure it (N). The letter F stands for force.
According to Newton's second law's original formulation, an object's net force is equal to the speed that its momentum is changing over time.
As per the given information in the question,
Mass of car, m = 1500 kg
Force, F = 2000 N
Then, the acceleration will be,
F = m × a
a = 2000/1500
a = 1.33 m/s²
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A 2.5 –g bullet traveling at 350 m/s hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree’s trunk. What force was exerted on the bullet in bringing it to rest?
Answer:
A 2.5 g bullet traveling at 350 m/s hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree's trunk. What is the initial kinetic energy of the bullet? 153.125 J Correct: Your answer is correct.Jan 8, 2020
Explanation:
From the fundamental frequency on up, those frequencies that are capable of forming standing waves on a string attached at both ends are called
The harmonics are sometimes referred to as the overtone series.
The frequencies that are capable of forming standing waves on a string attached at both ends from the fundamental frequency on up are called harmonics. In music, harmonics are overtones that accompany a sound wave's fundamental frequency.
These waves are at frequencies that are whole number multiples of the fundamental frequency (f₀).
These waves are at frequencies that are whole number multiples of the fundamental frequency (f₀).
2f₀ is twice f₀, 3f₀ is three times f₀, and so on.
These harmonics exist in a series of discrete frequencies that are proportional to the frequency of the fundamental pitch. Therefore, the harmonics are sometimes referred to as the overtone series.
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When do (object distance) is very large, what does the thin lens equation predict for the value of 1/f?
Similarly, when do (object distance) is very small and less, what does the thin lens equation predict for the value of 1/f?
Please explain your answer properly, especially for the first question. Thank you
Answer:
1 / f = 1 / o + 1 / i
1 / image distance + 1 / object distance = 1 focal length
If the object distance is large the image will be at about the focal length
The value of 1 / f is fixed for any one particular lense
As the object distance decreases the image must increase
The above equation can also be written as
o i / (i + o) = f or i / (i / o + 1) = f
If for instance o was very large the image would be at the focal length
five words that comes to your mind whenever you hear the word energy
Answer: power, renewable, extinct, solar, wind
Would appreciate brainliest <3
Answer:
chemical
mechanical
electrical
nuclear
thermal
brainliest ?
Three 7-ohm resistors are connected in parallel with an ideal 12-volt battery. What is the equivalent resistance of the circuit?
Answer:
Equivalent Resistance of Resistors in Parallel is
1/R = 1/r1 + 1/r2 .....
1/R = 1/7 + 1/7 + 1/7
R= 7/3
R=2.33ohms
A long distance runner running a 5.0km track is pacing himself by running 4.5km at 9.0km/h and the rest at 12.5km/h. What is his average speed?
Answer:
9.26 km/h
Explanation:
Applying,
V' = D'/t'............... Equation 1
Where V' = Average speed, D' = Total distance, t' = total time.
Given: D' = 5 km
But,
v = d/t............ Equation 2
Where v = speed , d = distance, t = time
t = d/v............ Equation 3
Given: d = 4.5 km, v = 9 km/h, and d = 0.5 km, v = 12.5 km/h
Therefore,
t₁ = 4.5/9 = 0.5 hours
t₂ = 0.5/12.5
t₂ = 0.04 hours
Therefore,
V' = 5/(0.5+0.04)
V' = 5/0.54
V' = 9.26 km/h
A rock is dropped from the top of a 370 meter tall vertical cliff. Calculate A) the velocity and B) the elevation of the rock after 9.4 seconds. GIVE THE ANSWER IN METRIC UNITS. 15. A small rocket moving to the right with initial velocity of 2360 m/s decelerates at the rate of 16.7 m/s². Find the vector velocity at a).- 20 sec and b) t-80 sec. (By vector velocity, I mean include the direction,+ or -)
A. The velocity of the rock after 9.4 seconds is 92.12 m/s.
B. The elevation of the rock after 9.4 seconds is 4396.72 m.
a) The velocity of the rocket at t = 20 sec is 2026 m/s to the right.
b) The velocity of the rocket at t = 80 sec is 1024 m/s to the right.
Given, Height, h = 370 meters Time, t = 9.4 seconds Acceleration, a = g = 9.8 m/s².
Formula Used:
The equations of motion for a freely falling body are,
v = u + gt (Initial velocity) u = 0m/s(initially at rest)
v² = u² + 2gh (final velocity)
h = ut + 1/2 gt².
We have to calculate the velocity and elevation of the rock after 9.4 seconds.
A) Calculation of Velocity Using the equation of motion v = u + gt where u = 0 (as the rock is dropped from rest)v = gt.
Now, putting the value of g and t, we get v = 9.8 m/s² × 9.4 s= 92.12 m/s. Therefore, the velocity of the rock after 9.4 seconds is 92.12 m/s.
B) Calculation of Elevation. Using the equation of motion
h = ut + 1/2 gt² where u = 0 (as the rock is dropped from rest)
h = 1/2 gt²
Putting the value of g and t, we get h = 1/2 × 9.8 m/s² × (9.4 s)²= 4396.72 m. Therefore, the elevation of the rock after 9.4 seconds is 4396.72 m.
Given,Initial velocity, u = 2360 m/s Deceleration, a = 16.7 m/s² Velocity at (a) t = 20 sec and
(b) t = 80 sec is to be calculated.Formula Used:
The velocity-time relationship is given by, v = u - at Where,v = final velocity u = initial velocity a = acceleration t = time elapsed.
We have to calculate the velocity at (a) t = 20 sec and (b) t = 80 sec.
a) Calculation of Velocity at t = 20 sec
Using the formula of velocity-time relationship,
v = u - at where u = 2360 m/sa = -16.7 m/s² (as the rocket is decelerating)v = ? (to be calculated)t = 20 s.
Putting the values,
we get,v = 2360 m/s - (16.7 m/s²) × 20 s= 2360 - 334= 2026 m/s.
Therefore, the velocity of the rocket at t = 20 sec is 2026 m/s to the right.
b) Calculation of Velocity at t = 80 sec.
Using the formula of velocity-time relationship,v = u - at where u = 2360 m/s a = -16.7 m/s² (as the rocket is decelerating)v = ? (to be calculated)t = 80 s.
Putting the values, we get,v = 2360 m/s - (16.7 m/s²) × 80 s= 2360 - 1336= 1024 m/s.
Therefore, the velocity of the rocket at t = 80 sec is 1024 m/s to the right.
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Find the center of mass of the region bounded by y=9-x^2 y=5/2x , and the z-axis. Center of Mass = __?
Note: You can earn partial credit on this problem.
The centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8). Formulae used to find the centre of mass are as follows:x bar = (1/M)*∫∫∫x*dV, where M is the total mass of the system y bar = (1/M)*∫∫∫y*dVwhere M is the total mass of the system z bar = (1/M)*∫∫∫z*dV, where M is the total mass of the systemThe region bounded by y=9-x^2 and y=5/2x, and the z-axis is shown in the attached figure.
The two curves intersect at (-3, 15/2) and (3, 15/2). Thus, the total mass of the region is given by M = ∫∫ρ*dA, where ρ = density. We can assume ρ = 1 since no density is given.M = ∫[5/2x, 9-x^2]∫[0, x^2+5/2x]dAy bar = (1/M)*∫∫∫y*dVTherefore,y bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]y*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]ydA...[1].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore,y bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]y*dxdy...[2].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.Substituting the values and evaluating the integral, we get y bar = (1/M)*[(9-5/2)^2/2 - (9-(15/2))^2/2]= (1/M)*(25/2)...[3].
Also, the x coordinate of the center of mass is given by,x bar = (1/M)*∫∫∫x*dVTherefore,x bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]x*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]xdA...[4].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore, x bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]xy*dxdy...[5].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.
Substituting the values and evaluating the integral, we get x bar = (1/M)*[63/8]= (1/M)*(63/8)...[6]Thus, the centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8).
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a 74 kg man jumps from a window 1.6 m above a sidewalk. the acceleration of gravity is 9.81 m/s 2 . a) what is his speed just before his feet strike the pavement? answer in units of m/s
Answer:
5.60 m/s
Explanation:
His initial potential energy is equal to his final kinetic energy.
mgh = 1/2mv^2
2gh = v^2 . . . . . . . multiply by 2/m
v = √(2gh) = √(2(9.81 m/s²)(1.6 m)) = √(31.392 m²/s²)
v ≈ 5.60 m/s
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Additional comment
The mass is irrelevant in the equations we typically use for this purpose.
A dog runs to the left for 20 meters and five seconds. then the dog runs to the right 35 meters in 10 seconds , stands still for 30 seconds and finally runs 15 meters right in 10 seconds. write a title for the graph and correctly label and scale
The accurate title for the graph is; "A graph of distance against time" and the scale on the x axis is 2cm:1 unit while the scale on the y axis is 2cm: 5 units.
What is a scale?The term scale has to do with the way that we can be able to represent information on paper. It is common that the information that we are trying to depict is too large that we can not easily show the information on paper. This is why we need a graph so that it can be compressed and still be readable by all.
In this case, we are being asked to get a good title for the graph and also to suggest a scale that would be very good for us to be able to present the information and make it intelligible. We must consider the magnitude pf the data so as to do this.
Learn more about scale diagrams:https://brainly.com/question/21804002
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