12. The diameter of a circle is 2.42m. Calculate its
area in proper significant figure​

Answers

Answer 1

Answer:

A = 4.6 [m²]

Explanation:

The area of a circle can be calculated by means of the following equation.

[tex]A=\frac{\pi }{4} *D^{2}[/tex]

where:

A = area [m²]

D = diameter = 2.42 [m]

Now replacing:

[tex]A=\frac{\pi }{4} *(2.42)^{2} \\A = 4.6 [m^{2} ][/tex]


Related Questions

Choose the answer that is most descriptive of the Solar System. Sun, planets, moons, asteroids, comets Nebulas, star clusters, super nova, black holes, binary stars Jupiter, Neptune, Saturn, Uranus, dwarf planets Jupiter, Great Red Spot, 8 regular moons, ±58 irregular moons

Answers

Answer:

The correct option is;

Sun, planets, moons, asteroids, comets

Explanation:

The Solar System consists of the system of celestial bodies bound gravitationally to the Sun, which includes the 8 regular planets, 2 dwarf planets, 796, 354 known minor planets, 4,143 comets, moons, which are natural satellites, an asteroid belt, which consists of a belt of rock and metal containing celestial bodies moving in a belt round the Sun

How many significant figures are in the number 08.40001
07
3
O 6
O 5

Answers

Answer:

5

Explanation:

every number after the decimal

A plane lands and comes to a complete stop. If the plane covers 200 m and decelerates at 7.5 m/s2 , what was the planes initial velocity as it touched the runway?

Answers

Answer:

The initial velocity of the plane is 54.77 m/s

Explanation:

Given;

distance covered by the plane, d = 200 m

deceleration of the plane, a = - 7.5 m/s²

The initial velocity of the plane is given by the following kinematic equation;

v² = u² + 2ad

where;

v is the final velocity of the plane when the plane comes to a complete stop = 0

u is the initial velocity of the plane

0 = u² + 2(-7.5 x 200)

0 = u² - 3000

u² = 3000

u = √3000

u = 54.77 m/s

Therefore, the initial velocity of the plane is 54.77 m/s

I WILL GIVE U 100 POINTS IF U ANSWER THIS AND GET IT RIGHT!!!!!!!!!!!!!!

Answers

What am o supposed to answer

Answer:

Free points That's awesome Thanks Brainly User!

Explanation:


1) If a projectile launched at a speed of 20m/s above the horizontal axis of an angle 53 ;(usin g=10mls sin 53=0.8 cos 53=0.6)
find
a the displacement at 2sec
b) the velocity of 2sec
c) total time
d) maximum time
e) Range
f) maximum height

Answers

Answer:

(a) 26.83 m

(b) 12.65 m/s

(c) 3.2 seconds

(d) 3.2 seconds

(e) 38.4 m

(f) 12.8 m

Explanation:

Given that a projectile launched at a speed of 20m/s above the horizontal axis at an angle of 53 degrees.

The vertical component of the velocity in the upward direction,

u= 20 sin 53= 20 x 0.8 = 16 m/s.

The horizontal component of the initial velocity,

s=20 cos53 = 20x0.6=12 m/s.

As the gravitational force acts in the vertical direction, so it will only change the vertical component of the initial velocity while the horizontal component of the initial velocity remains unchanged.

(a) The displacement at 2 seconds:

The horizontal distance covered in 2 seconds = 12x2= 24 m

By using the equation of motion, s= ut +1/2 at²

Here, a= -10 m/s² (as g=10m/s² acts in the downward direction)

the vertical displacement s= 16x2- 1/2 x 10 x 2²=12 m

Hence, the displacement after 2 seconds = [tex]\sqrt{24^2+12^2}[/tex]=26.83 m

(b) The velocity at 2 seconds:

As the horizontal component of the velocity is not changing, so the horizontal component of the velocity = 12 m/s

By using the equation of motion, v=u+at

The vertical component of the velocity, v= 16 - 10x2=-4m/s

The negative sign shows that the vertical component of the velocity is in the downward direction.

So, the the velocity at 2 seconds = 12 i - 4 j m/s

The magnitude of the velocity = [tex]\sqrt{12^2+(-40^2}[/tex]=12.65 m/s

(c) Total time of flight:

Total time of flight = 2 x (time to reach the maximum height)

At maximum height, the vertical component of the velocity = 0

So, by using the equation of motion, v=u+at

0= 16-10 t

t= 16/10=1.6 seconds

Hence, the total time of flight= 2 x 1.6 = 3.2 seconds.

(d) Maximum time:

This is the same as the total time of flight, so the maximum time = 3.2 seconds.

(e) Range:

Range = Horizontal component of the velocity x total time of flight

= 12 x 3.2 = 38.4 m

(f) Maximum height:

As the time to reach the highest point = 1.6 seconds

So, by using the equation of motion s = ut + 1/2 at²

The maximum height, s = 16 x 1.6 + 1/2 (-10)1.6² =12.8 m

Hence, the maximum height is 12.8 m.

A 10kg box is sliding at 50m/s. Find the momentum

Answers

Answer:

The momentum of the ball is 500 kg·m/s

Explanation:

The momentum is given by Mass × Velocity

The given parameters are;

The mass of the box = 10 kg

The velocity by which the box is sliding = 50 m/s

Therefore, the momentum of the ball is given as follows;

The momentum of the ball = 10 kg × 50 m/s = 500 kg·m/s

The momentum of the ball = 500 kg·m/s

How does seeing an object compare with seeing a shadow?

Answers

Answer:  shadows are not parts of their objects—we can change a shadow without changing the object

Answer:

So we can see objects by seeing silhouettes. By contrast, shadows are not parts of their objects—we can change a shadow without changing the object (say, by putting another object in between the object and the light source). So we cannot see objects by seeing shadows.

How did Galileo increase public support for Copernicus’s model?

by publishing his work in Italian
by using data collected by Tycho Brahe
by explaining why planets appear to move backward
by arguing that Earth’s rotation makes objects appear to move in the sky

Answers

Galileo increases public support for Copernicus's model by publishing his work in Italian. Thus option a is correct.

Copernicus's model has been the heliocentric model of the universe given by Nicolaus Copernicus. According to the model, the sun has been the center of the universe, and the planets are revolving around the Sun in a circular path, and at a constant speed.

This idea of Copernicus has been against religious belief and thus has not been accepted. However, the development of Keplar's law helps in the better understanding of Copernicus's model.

Galileo increases public support for Copernicus's model by publishing his work in Italian. Thereby finally the model has been published in 1543. Thus option a is correct.

For more information about Copernicus's model, refer to the link:

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Answer: The answer is: by publishing his work in Italian

Explanation: credit to the guy above me!

Have a great day!

-Sunny

a traveller covers 1.2km distance in 5mins find it's average velocity​

Answers

Explanation:

Average Velocity = Displacement / Time

= 1.2km / 5 min

= 1200m / 300s

= 4m/s.

The average velocity of a moving body is the distance covered by time. The average velocity of the traveler covers 1.2 km in 5 min is 4 m/s.

What is velocity ?

Velocity is a physical quantity which measures the distance travelled per unit time. Velocity is a vector quantity thus having both magnitude and direction.

Velocity is the ratio of distance to the time. Given that the distance travelled by the man = 1.2 km = 1200 m

time = 5 min = (5 × 60 s) = 300 s.

Thus, velocity = distance/ time

                       = 1200 m / 300 s

                       = 4 m/s.

Therefore, the velocity of the traveler is  4 m/s.

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I need help
What should be done when the National Weather Service issues a severe weather watch?

Evacuate immediately.

Seek shelter immediately.

Take immediate action.

Begin to prepare.

Answers

I think in this situation, it depends on where you are. However, you should always be prepared in advance. But I think you should take immediate action and seek shelter. I hope this helps!
It depends but I think evacuate

hello, why do all electromagnetic waves travel at the same speed in vacuum?

Answers

Answer:

due to the magnetic field

Explanation:

magnetic field is the same in the vacuum

I need help in Physics pls help me!

20 points for CORRECT ANSWER!!!

Answers

Answer:

V = 3.65 m/s

Explanation:

The answer is 4.157 m/s

2. What is the power rating of an engine capable of lifting a 100 kg object 5 m vertically
in 4 seconds?

Answers

Work=f.d
Work=100*50 = 500
Power = work/time = 500/4
=125 watt
The power rating of an engine will be "125 watt".

Given values are:

Force,

f = 100

Time,

t = 4 seconds

Now,

→ [tex]Work \ done= f\times d[/tex]

                     [tex]= 100\times 50[/tex]

                     [tex]= 500[/tex]

hence,

The power will be:

= [tex]\frac{Work}{time}[/tex]

= [tex]\frac{500}{4}[/tex]

= [tex]125 \ watt[/tex]

Thus the response above is right.

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---Spring Question---
A 0.84 kg ball is held at rest against a spring (k = 142 N/m) that has been compressed 0.06 m. The ball and spring are on a table and the ball is 2.0 m above the ground. If friction between the ball and the table is negligible, then how far from the edge of the table (in meters) will the ball hit the ground?

Answers

Answer:

The distance from the edge of the table at which the ball will hit the ground is approximately 0.49 meters

Explanation:

The mass of the ball = 0.84 kg

The spring constant k = 142 N/m

The compression of the spring = 0.06

Therefore, by conservation of energy, we have;

The potential energy of the spring = The kinetic energy given to the ball

The potential energy of the spring = 1/2 × k × x² = 1/2 × 142 × 0.06² = 0.2556

The potential energy of the spring = 0.2556 J

The kinetic energy given to the ball = 1/2 × m × v²

Where;

v = The final velocity of the ball

Substituting gives;

1/2 × 0.84 × v² = 0.2556

∴ v = √(0.2556/(1/2 × 0.84)) ≈ 0.78

The final velocity of the ball = v ≈ 0.78 m/s

The height of the ball above the ground, h = 2.0 m

Therefore, we have;

The time, t, it takes the ball to touch the ground from the 2.0 m height, h, is given as follows;

h = 1/2·g·t²

t = √(2·h/g)

Where;

g = The acceleration due to gravity = 9.81 m/s²

∴ By substitution, we have;

t = √(2 × 2/9.81) ≈ 0.63855

t ≈ 0.63855 s

The distance from the edge of the table at which the ball will hit the ground = The horizontal distance covered during before the ball hits the ground

The horizontal distance covered during before the ball hits the ground = The (horizontal) velocity of the ball × The time it takes the ball to touch the ground

∴ The horizontal distance covered during before the ball hits the ground = 0.78 × 0.62855 ≈ 0.490269 ≈ 0.49

The distance from the edge of the table at which the ball will hit the ground = The horizontal distance covered during before the ball hits the ground  ≈ 0.49 m

Why must the rockets use great force to get into outer space?

Answers

Because of the gravity that is weighing down the rocket

1. A book is at rest on a tabletop. Diagram the forces acting on the book. ​

Answers

When you place a book on a table, the book exerts a downward force on the table and the table exerts an upward force on the book.

The free-body diagram of the forces acting on a book resting on a table is shown in the figure.

When a body is at rest, the net force on the body is zero. So, no acceleration is produced in it. If a body is in contact with another body or surface, a normal contact force acts on it perpendicular to the surface in contact.

So, the forces acting on a book resting on a tabletop are:

1. Weight of the book, W(downward)

2. Normal force (N) perpendicular to the surface in contact.

Therefore, the free-body diagram of the forces acting on a book resting on a table is shown in the figure.

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Your family is going to drive to your grandma's house for Christmas dinner. You set the car's odometer to 0 before you leave. When you arrive, the odometer reads 42.6 miles. Looking at a map, you see the direct, straight-line distance is 30 miles due east. When you return home, what will be your distance and displacement for the round trip, in that order?

Answers

Answer:

Distance = 85.3 miles

displacement = 0

Explanation:

The total distance covered to grandma's house is 42.6 miles as recorded by the odometer. The same distance would be covered when returning to the base. Hence;

Total distance for the round trip = 42.6 + 42.6 = 85.2 miles

Since the trip was a round trip, the displacement is zero because the family returned to their initial location.

I WILL GIVE U 100 POINTS IF U COMPLETE THIS AND GET RIGHT!!!!!!!!!!!!

Answers

Answer:

A.

1. when the butter was placed on the spoon it slowly started to boil then began to melt.

2.the order was to heat the bowl, let it boil, then place the butter in.

3.The heat got from the water to the butter by placing it on the spoon then physically moving it into the hot bowl.

4.objects that do not conduct heat are called insulators.

B.

1. When the ice cube got placed into the water it immediately melted.

2.the water from the ice cube to the warm water as soon as it got laced it immediately melted.

3. the heat flowed straight up which made the ice melt really fast.

TABLE A: when I placed the butter in it melted a little bit slower than the ice cube but it still melted very fast.

TABLE B: when I put the colored one in the color slowly dissolved and pushed the color to the middle and the cube melted.

TABLE C: room temp water:75 degrees

cold water:50

hot water:315 degrees

TABLE D: when I blew out the candle the flame went but the smoke started to rise up.

TABLE E: the small beaker heated up quicker and I observed that the less amount of mass the faster it will heat up.

TABLE F: the black piece of paper heated up quicker and I believe its because the darker color the more mount of heat is attracted.

Explanation: I HOPE THIS HELPED! BRAINLESS?

Cuatro niños jalan de manera separada un mismo carrito de baleros con un mismo desplazamiento, pero uno con un ángulo de 45°, otro con un ángulo de 35°, otro de 20° y el ultimo con un ángulo de 0°, medidos con respecto al eje horizontal. ¿Cuál de los cuatro realiza un mayor trabajo, si la fuerza que se aplica cada uno de ellos es la misma? Selecciona el ángulo:

Answers

Answer:

El niño que aplica una fuerza a un ángulo de 0º realiza el mayor trabajo.

Explanation:

Si consideramos que las fuerzas aplicadas en el carrito de baleros es constante tanto en magnitud como en dirección, el trabajo realizado por cada niño ([tex]W[/tex]), medido en joules, puede definirse mediante la siguiente expresión:

[tex]W =F\cdot x\cdot \cos \alpha[/tex] (1)

Donde:

[tex]F[/tex] - Magnitud de la fuerza aplicada por el niño, medida en newtons.

[tex]x[/tex] - Distancia desplazada por el carrito de baleros, medida en metros.

[tex]\alpha[/tex] - Dirección de la fuerza aplicada, medida en grados sexagesimales.

De (1) tenemos que la fuerza efectiva que empuja el carro es:

[tex]F_{e} = F\cdot \cos \alpha[/tex]

La fuerza aplicada por cada niño es despejada:

[tex]F = \frac{F_{e}}{\cos \alpha}[/tex]

A mayor ángulo, tenemos un menor valor del coseno y, por ende, mayor valor de la fuerza aplicada. Ahora, el mayor trabajo realizado se realiza con el menor ángulo posible y bajo esta consideración, el niño que aplica una fuerza a un ángulo de 0º realiza el mayor trabajo.

TRUE or FALSE: During a collision between objects of different mass, there is a greater force applied to the less massive object.

Answers

If they are moving at the same speed then it would be true because the larger object would have more mass and would have more momentum then the smaller object that has less mass! Hope this helps!

The diagrams show objects' gravitational pull toward each other. Which statement describes the relationship between diagram X and Y? х Gravity attracts only larger objects toward one another. Gravity attracts larger objects only if they are close to one another. If the masses of the objects increase, then the force between them also increases. If distance between the objects increases, then the amount of force also increases. Y Z​

Answers

Answer:

you are right Gravity attracts larger objects only if they are close to one another. If the masses of the objects increase, then the force between them also increases. If distance between the objects increases, then the amount of force also increases. Y Z​ this is the answer .

Explanation:

Answer:

If distance between the objects increases, then the amount of force also increases.

Explanation:

Hurricane or typhoons occur when large areas of the open ocean soak up heat from the sun t or f​

Answers

Answer: true

Explanation:

If Earth orbited the Sun in 9 months instead of 12, then, compared with a sidereal day, a solar day would be

Answers

Answer:

longer

Explanation:

The relationship between the solar day and sidereal is as follows:

The length of the sidereal day is

= (Solar day) (solar year ÷ solar year +  1 day)

As it can be seen that the day i.e. solar its length would be greater as compared with the sidereal day.

In the case when the earn orbited the sun in 9 months rather than 12 so here the sidereal day would be the similar but the solar day would be longer as compared with the original one

You are standing on a moving bus, facing forward, and you suddenly fall forward. You can imply form this that the bus’s

Answers

I think has stopped maybe

Jack travelled 360 km at an average speed of 80 km/h. Elaine took 1.5 hours more to complete the same amount of distance. What was Elaine’s average speed for the whole journey? _____km/h and m/s

Answers

Wish I could help this looks hard

A 1500 kg car has an applied forward force of 5000 N and experiences an air resistance of 1250 N. What is the car's acceleration?

Answers

Answer:

[tex]2.33\ m/s^2[/tex]

Explanation:

Net Force

According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:

Fn = m.a

Where a is the acceleration of the object.  The net force is the sum of the individual vector forces applied to the object.

The m=1500 Kg car has two horizontal forces applied: the forward force of 5000 N that causes the movement and the air resistance force of 1250 N that opposes motion.

The net force is Fn = 5000 N - 1500 N = 3500 N

To find the acceleration, we solve the equation for a:

[tex]\displaystyle a=\frac{Fn}{m}[/tex]

[tex]\displaystyle a=\frac{3500}{1500}[/tex]

[tex]\boxed{a = 2.33\ m/s^2}[/tex]

The car's acceleration is [tex]a = 2.33\ m/s^2[/tex]

A 50.0kg skydiver experience a 740newton air resistance force determine her acceleration

please someone help me

Answers

Answer:

a = - 5 [m/s²].

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

∑F = m*a

where:

F = resultant force [N] (units of Newtons)

m = mass = 50 [kg]

a = acceleration = 9.81 [m/s²]

For this particular problem, the only forces acting are the force of gravity acting down with negative sign, while the force of air opposes the fall, in this way it is positive.

[tex]f_{air}-F_{grav}=-m*a[/tex]

As the movement is pointing down the acceleration will be taken as negative.

[tex]740-(50*9.81)=-50*a\\740-490.5 = -50*a\\249.5 = -50*a\\a = - 5 [m/s^{2} ][/tex]

We should note that in this case, the acceleration has a negative sign, this means that the force of the air makes the skydiver move upwards.

1 point
A leak in a swimming pool allows 2.50 liters to flow out every minute. How
many gallons leak out in week? (There are 0.946 liters per quart and 4
quarts per gallon.) *
O 910. gallons
O 12 700 gallons
0 7 140 gallons
6 660 gallons

Answers

Answer:

66.6 G

Explanation:

A block of concrete weights 1200 N. It’s base is a square with sides 4m long. what pressure does the concrete block exert on the ground ?

Answers

Explanation:

pressure=force/area

area =4×4=16 m^2

therefore p= 1200÷16

= 75 Nm^-2/Pa

an astronaut with mass ma is within a satellite that orbits earth at a height h above its surface

Answers

Answer:

i really dont know why its such a big deal

Explanation:

An astronaut with mass ma is within a satellite that orbits earth at a height h above its surface. The correct expression for the gravitational force exerted on the astronaut by Earth on the basis described can be,

Fg=G MeMa/r²e

What is gravitational force?

Gravity is a basic interaction in physics that produces mutual attraction between all entities that have mass or energy.

Gravity maintains the planets around the sun and the moon orbiting the Earth. The moon's gravitational pull attracts water, causing ocean tides. Gravity creates stars and planets by attracting the elements that go into their formation.

Gravity waves are 'ripples' in space-time caused by some of the most destructive and powerful occurrences in the Universe. In the year 1916, Albert Einstein used to predicted the existence of gravitational waves which can be popularly known as general theory of relativity.

The gravitational force has the lowest non-contact strength in nature. It adheres to the inverse square law. It is always positive. It is directly proportional to the product of the two bodies' masses.

Thus, the equation can be written as,

Fg=G MeMa/r²e

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