Answer:
Near the black hole, The gravitational pull is so strong and the black hole has a lot of stress energy. This causes the clock to tick slower than usual and due to this , Time slows down to a great extent.
Using the free-body diagram, calculate the net force acting on the sled. Is the sled in a state of dynamic equilibrium?
The net force acting on the sled is zero. The sled is in a state of dynamic equilibrium.
Explanation:
The two vertical forces, Fg and Fn, cancel each other out, but I choose to "ignore" them in my explenation, although they remain present at all times.
Since the net force acting on the sled is zero, the sled is in some state of equilibrium...
Whether the sled or a stationary equilibrium or in a dynamic equilibrium, depends on the the motion of the object. If the object is moving then it is a dynamic equilibrium and if the object is not moving, then there is a stationary equilibrium.
Look closely at the picture of the sled and the dogs, and try to find out if the sled is standing still or if the sled is moving with a constant speed.
From the movement of snow around the dogs, you can tell, the sled is moving. It clearly is not stationary or left standing still.
So in this case it must be a dynamic equilibrium. The combined pull of all dogs is shown by Ft = 225 N.
Apparently, the friction is displayed as an opposite force shown as Ff = - 225 N. These two horizontal forces cancel each other out.
Strangely enough, this can be compared with a situation like a "tug of war", in which both sides pull with equal force. Although there can be an enormous tension in the cord, nothing moves.... The same is true here although the sled is moving with a constant speed...
EXTRA
Given is that the sled is moving with a constant speed.
No imagine two situations and try to predict what will happen.... Here we go...
Situation 1 The friction force remains Ff = - 225 N but the dogs suddenly start to pull harder, say with a force of 275 N.
Now the net Force will be greater then zero. In that case it will be 275 - 225 = 50 N in favour of the dogs, which would result in an exeleration of the sled, and thus an increase of the speed...
Situation 2 The friction force becomes greater Ff = - 300 N, but the dogs pull with the same force of 225 N.
Now the net Force will be less then zero. In that case it will be 225 - 300 = -75 N in favour of the friction Force, which would result in slowing down the sled. Perhaps the sled operator applied the brake on the sled, which caused a deceleration of the sled, and thus the speed decreases.
Answer:
yes
Explanation:
edg 2020
Neptune moves in an elliptical orbit with the sun at one of the foci. The length of half of the major axis is kilometers, and the eccentricity is 0.0086. Find the perihelion distance of Neptune from the sun. Round your answer to the nearest kilometers.
Given that,
Eccentricity = 0.0086
Suppose, The length of half of the major axis is [tex]1\times10^{9}\ km[/tex]
We need to calculate the distance from the center to the foci
Using formula of eccentricity
[tex]e=\dfrac{c}{a}[/tex]
[tex]c=e\times a[/tex]
Where, e = eccentricity
a = major axis
c = the distance from the center to the foci
Put the value in to the formula
[tex]c=0.0086\times1\times10^{9}[/tex]
[tex]c=8600000[/tex]
We need to calculate the perihelion distance of Neptune from the sun
Using formula of distance
[tex]d=a-c[/tex]
Put the value into the formula
[tex]d=1\times10^{9}-0.0086\times10^{9}[/tex]
[tex]d=991400000\ km[/tex]
Hence, The perihelion distance of Neptune from the sun is 991400000 km.
What is the magnitude of these two vectors: 101 m 60.0 degrees 85.0 m
Answer:
85.0 please I don't understand
Which vector has an x-component with a length of 4?
Answer:
C.) vector C
Explanation:
From the graph provided:
Four vectors are present :
Vectors a, b, c and d.
The x-component of the vector is its magnitude along the x-axis.
Taking the coordinate of each vector:
Vector a = (1,4) : length of x- component = 1
Vector b = (1, 1) : length of x- component = 1
Vector c = (4, -4) : length of x- component = 4
Vector d = (-3, 4) : length of x- component = - 3
Therefore, vector c has an x-component length of 4
HURRY!!!!
Fred and Ted are racing cars down a frictionless track with a jump at the bottom
when suddenly an argument breaks out. Fred says, “If we release the cars from a
point twice as high as we are currently doing so, the cars will have twice the
gravitational potential energy, and therefore be travelling twice fast when they hit
the jump." Ted says, “In order to double the speed of the cars when they hit the
ramp, I think we will have to more than double the height!" Who is right? Prove it!
Answer:
Ted is correct
Explanation:
The equation for gravitational potential energy is PE = m·g·h
The equation for gravitational kinetic energy is KE = 1/2·m·v²
Where:
m = Mass of the object (The racing car)
g = Acceleration due to gravity
h = The height to which the object is raised
v = Velocity of motion of the object
From the principle of conservation of energy, energy can neither be created nor destroyed but changes from one form to another, we have;
Potential energy gained from location at height h = Kinetic energy gained as the object moves down the level ground
m·g·h = 1/2·m·v² canceling like terms gives
g·h = 1/2·v²
v = (√2·g·h)
If the speed is doubled, we have
2·v = 2× (√2·g·h) = (√2·g·4·h)
Therefore, if 2·v = v₂ then v₂ = (√2·g·4·h)
Since g, the acceleration due to gravity, is constant, it means that the initial height must be multiplied or increased 4 times to get the new height, that is we have;
v₂ = (√2·g·4·h) = (√2·g·h₂)
Where:
4·h = h₂
Which gives;
v₂² = 2·g·h₂
1/2·v₂² = g·h₂
1/2·m·v₂² = m·g·h₂ Just like in the first relation
Therefore, Ted is correct s they need to go up four times the initial height to double the speed.
Wood has chemical energy which can be used to generate thermal and radiant energy when burned in a fire place which best explains what happens to the total amount of energy in this scenario
Answer:
c i took the test
Explanation:
The total amount of energy in this scenario is transformed into other forms of energy because of the burning process of the wood.
What happens to the total amount of energy in this scenario?The energy present in the wood change into other forms of energy such as heat and radiant energy. We know that during a reaction, matter is transformed into another form with the release of different types of energy.
So we can conclude that he total amount of energy in this scenario is transformed into other forms of energy because of the burning process of the wood.
Learn more about energy here: https://brainly.com/question/13881533
What is the overall charge of the wall?
Answer:
The overall charge on the wall is zero.
Explanation:
Because the atoms making the wall are neutral i.e. number of positive charges are equal to number of negative charges.
PLEASE HELP, THANK YOU!.. :)
Answer:
First Reaction:
[tex]^{234}U[/tex] => [tex]^{230} Th + ^{4}He[/tex]
Second Reaction:
[tex]^{230} Th[/tex] => [tex]^{226} Ra + ^{4}He[/tex]
Combined Reaction:
[tex]^{234} U[/tex] => [tex]^{226}Ra + 2( ^{4} He)[/tex]
A projectile is fired with an initial speed of 60.3 m/s at an angle of 34.2 above the horizontal on a long flat firing range.
Part A: Determine the maximum height reached by the projectile.
Part B: Determine the total time in the air.
Part C: Determine the total horizontal distance covered (this is, the range).
Part D: Determine the speed of the projectile 1.20 s after firing.
Part E: Determine the direction of the projectile 1.20 s after firing.
Answer:
A.) H = 58.6 m
B.) T = 6.92 s
C.) 345.12 m
D.) V = 22.13 m/s
E.) Ø = 32.1 degree
Explanation:
Given that the
initial speed U = 60.3 m/s
Angle Ø = 34.2 degree
A.) At maximum height, final velocity V is equal to zero.
Using the third equation of motion under gravity.
V^2 = U sin Ø^2 - 2gH
Substitute for U and g. Where g = 9.8 m/s^2
0 = (60.3 sin 34.2)^2 - 2 × 9.8 × H
1148.78 = 19.6 H
H = 1148.78/19.6
H = 58.6 m
B.) To Determine the total time in the air, let us use the formula
V = UsinØ - gt
At maximum height, V = 0
t = UsinØ/g
Total time T = 2t
Therefore, T = 2UsinØ/g
T = (2 × 60.3 × sin 34.2)/9.8
T = 67.79/9.8
T = 6.92 s
C.) To determine the total horizontal distance covered which is the range, we will use second equation of motion.
S = UcosØT - 1/2gt^2
Where S = range R
g = 0, since the range is not a vertical distance
T = total time
Substitute all the parameters into the formula
R = 60.3 cos 34.2 × 6.92
R = 345.12 m
D.) After 1.2 s firing,
V = UsinØ - gt
Where t = 1.2 s
Substitute into the formula
V = 60.3 × sin34.2 - 9.8 × 1.2
V = 33.89 - 11.76
V = 22.13 m/s
Therefore the speed of the projectile 1.20 s after firing is 22.13 m/s
E.) The direction will be determined by using the formula
t = VsinØ/ g
Cross multiply
VsinØ = gt
Make SinØ the subject of formula
SinØ = gt/V
SinØ = (9.8×1.2)/22.13
Sin Ø = 11.76/22.13
Sin Ø = 0.53
Ø = sin^-1( 0.53 )
Ø = 32.1 degree
A friend of yours who has not taken an astronomy class looks at your textbook and really likes the picture of the Pleiades, a cluster of stars surrounded by a bluish reflection nebula. She wants to know what causes that beautiful blue glow. To explain it to her, you want to compare the process that causes the blue glow to something that is in your friend's everyday experience. Which of the following terrestrial phenomena is the result of the same type of process that makes a reflection nebula in space?
A. the blueish glow of the flame on a gas stove
B. the blue light you see reflected from a blue sweater
C. the blue colour of the Earth's sky
D. the blue-white colour of the hottest stars
E. the blue feeling you get when you don't do well on an astronomy exam
Answer:
C. the blue colour of the Earth's sky
Explanation:
The Pleiades is a cluster of sister stars that are among the closest star cluster to earth.
The reflection nebula of the Pleiades is due to the scattering of the blue light from the hot blue luminous stars that dominate the star cluster. Th blue light is scattered from dust molecules, thought to be predominantly carbon compound like diamond dusts, and other compounds like iron.
The blue colour of the Earth's sky is the closest terrestrial phenomenon to the reflection nebula. On a clear cloudless day, molecules in the air scatter the blue component of light more than the other component colours of white light, giving the sky its characteristic blue coluor.
The common characteristics of the luminous nebula and the Earth's blue sky is that they both have their light scattered by the presence of small particles.
Indicar tipo de unión química que presentan los siguientes compuestos. Realizar a representación de Lewis, molecular o iónica, según corresponda: a-CH4 b-SrO c-HBr d-NH3 e-Cl2O f-Li2O g-CO2 h-MgCl2
Answer:
Explanation:
a. CH₄- Covalent bonding(ligação covalente)
b. SrO- ionic bonding (ligação iônica)
c. HBr- Polar Covalent bonding (ligação covalente polar)
d. NH₃ - covalent bonding(ligação covalente)
e. Cl₂O - Covalent bonding (ligação covalente)
f. Li₂O- ionic bonding (ligação iônica)
g. CO₂ - double covalent bonding (ligação covalente dupla)
h. MgCl₂- ionic bonding(ligação iônica)
Swamp coolers are effective because _____.
A. the water is colder than the air.
B. the water pulls heat from the room to undergo a phase change.
C. the thermal energy of the water is decreasing.
D. the water's latent heat of vaporization is being pulled from the air.
Answer:
D. the water's latent heat of vaporization is being pulled from the air.
Explanation:
A swamp cooler also generally referred to as the evaporative cooler is an electronic device that uses moisture to cool air. This simply means that, the electronic device works on the principle of evaporation of water to cool the surrounding air.
In swamp coolers, water absorbs large amount of warm air via the evaporative wet cooler pad, so as to evaporate and consequently cooling the air effectively and efficiently.
Swamp coolers are effective because the water's latent heat of vaporization is being pulled from the air.
The latent heat of vaporization can be defined as the energy that is being absorbed by water during evaporation.
The swamp coolers are typically made up of the following essential components, these are;
1. Float.
2. Blower.
3. Pump.
4. Evaporative pad.
5. Water supply valve.
Hence, through the principle of evaporative cooling (latent heat of vaporization), swamp coolers reduces or lower the air temperature in its surroundings.
Answer:
B and D
Explanation:
The speed of an electromagnetic wave is a constant, 3.0 × 108 m/s. The wavelength of a wave is 0.6 meters. What is the frequency?
Answer:
The answer to this should be: 5.0 x 10⁸ Hz
Explanation:
The speed, s, of a wave, equals the product of its frequency, ν, times its wavelength, λ:
s = νλ.
As the question states, the speed of an electromagnetic wave is a constant, c, equal to 3.0 × 10⁸ m/s.
Substituting this constant in the equation for the speed of the wave, you get:
c = νλ.
From that equation, you can solve for the frequency to show the inverse realation of frequency and wavelength:
ν = c / λ
Now, you just have to substitute values and compute, leaving you with:
5.0 x 10⁸ Hz
A test car is driving toward a solid crash-test barrier with a speed of 46 mi/h. Two seconds prior to impact, the car begins to brake, but it is still moving when it hits the wall. After the collision with the wall, the car crumples somewhat and comes to a complete stop. In order to estimate the average force exerted by the wall on the car, what information would you need to collect?
Answer:
we have to measure distances and time, possibly with an automated system since the values are very small
Explanation:
For this exercise we can use the relationship between momentum and momentum
I = ∫ F dt = Δp
F t = m [tex]v_{f}[/tex] - mv₀
In the exercise they indicate that the final speed is zero
F t = - m v₀
F = -m v₀ / t
With this equation we can find what measurements should be carried out.
To find the speed with which the car collides with the wall, less measure the displacement and its time during the braking process before reaching the wall and from here find the speed with which it reaches the wall.
During the impact, we must find the time that the vehicle is in contact with the wall in the first approach is equal to the time that the car takes to reach the final speed of zero.
In summary we have to measure distances and time, possibly with an automated system since the values are very small
Two identical long wires of radius a = 2.80 mm are parallel and carry identical currents of i = 5.00 A in opposite directions. Their center-to-center separation is W = 19.0 cm. Neglect the flux within the wires but consider the flux in the region between the wires. What is the inductance per unit length of the wires?
Answer:
Inductance per unit length, [tex]\frac{L}{l} = 7.02 * 10^{-7} H/m[/tex]
Explanation:
Radius of the wire, a = 2.80 mm
Currents carried by each of the wires, i = 5.00 A
Center-to-Center Separation, W = 19.0 cm
The flux in the wires is given by the equation, ∅ = Li
The Net flux of the region between the wires is given by the equation:
[tex]\phi = \frac{l \mu_0 i}{\pi} ln(\frac{W-a}{a})[/tex]
Divide both sides by l to get the net flux per unit length
[tex]\phi/l = \frac{ \mu_0 i}{\pi} ln(\frac{W-a}{a})\\\phi/l = \frac{ 4 \pi * 10^{-7} i}{\pi} ln(\frac{0.019-0.0028}{0.0028})\\\phi/l = 7.02 * 10^{-7} i\\\frac{Li}{l} = 7.02 * 10^{-7} i\\\frac{L}{l} = 7.02 * 10^{-7} H/m[/tex]
The center of a bar magnet whose magnetic dipole moment is <6,0,0> A·m2 is located at the origin. A second bar magnet whose magnetic dipole moment is <7, 0, 0> A·m2 is located at 0.23 m. What is the vector force on the second magnet due to the first magnet? (Express your answer in vector form.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
The force is [tex]\= F = (-0.001089, 0 ,0)[/tex]
Explanation:
From the question we are told that
The magnetic dipole moment of first magnet is [tex]z_1 = (6,0,0) A \cdot m^2[/tex]
The magnetic dipole moment of second magnet is [tex]z_2 = (7,0,0) A \cdot m^2[/tex]
The location of the second magnetic dipole moment is [tex]x = 0.39 \ m[/tex]
Generally the vector force on the second magnet due to the first is mathematically evaluated as
[tex]\= F =- \frac{\mu_o }{4 \pi} * \frac{6 * z_1 * z_2}{x^4}[/tex]
Where [tex]\mu _o[/tex] is the permeability of free space with value [tex]4\pi * 10^{-7} N/A^2[/tex]
substituting values
[tex]\= F = - \frac{ 4\pi * 10^{-7} }{4 \pi} * \frac{6 * 6 * 7}{0.39^4}[/tex]
[tex]\= F = (-0.001089, 0 ,0)[/tex]
Note the negative sign show that the force is an attraction force
A car travels 500m in 50s, then 1,500m in 75s. Calculate its averages speed for the whole journey
Answer:
15m/s
Explanation:
500 ÷ 50 = 10m/s
1500 ÷ 75 = 20m/s
10 + 20 = 30
30 ÷ 2 = 15m/s
Answer: 16 miles per second
Explanation:
Find the total distance traveled and the total time.
[tex]\text{average rate}=\dfrac{1500+500}{75+50}=\dfrac{2000\ miles}{125\ second}=\large\boxed{16\ mps}[/tex]
Please someone to help me with this will be very grateful In a light bulb, how is electrical energy transformed into light? and in an LED, will it be the same?
Answer:
LED;
The energy of photons emitted by an LED is dictated by the band gap of the semiconductor used – the energy required to make an electron–hole pair. When an electron and hole recombine in a radiative process, a photon carries away the extra energy.
BULB
In the light bulb, the flow of charge through the filament heats it up and causes it to glow. In this way, the light bulb converts electrical energy to heat energy and light energy. ... 1, chemical potential energy is converted to electrical energy, which is immediately converted to light energy and heat energy
This flow of charge converts chemical potential energy into electrical energy. In the light bulb, the flow of charge through the filament heats it up and causes it to glow. In this way, the light bulb converts electrical energy to heat energy and light energy. bulb have a fillament but LED have no filament they produce energy through clod process but bulb have a filament and they produce energy through hot process
Explanation:
This progression of charge changes over substance expected vitality into electrical vitality. In the light, the progression of charge through the fiber warms it up and makes it shine. Along these lines, the light believers electrical vitality to warm vitality and light vitality.
hope soo u can understand my point
A hydrogen bond is a special form of a(n)
a. covalent bond.
b. dipole-dipole force.
C. ionic bond.
d. London dispersion force.
Answer:
B
Explanation:
What do you observe as you immerse the empty jug in a bucket which contains water? Explain why you observe this phenomenon.
Answer:
The jug drowns because the density of the jug is more than that of the density of water.
Answer:
it gets force upwards .
as there is presence of atmospheric pressure in it which causes upthrust and push upwards.
A runner starts from rest and speeds up with constant acceleration. If she
has gone a distance of 30 m at the point when she reaches a speed of 8 m/s,
what is her acceleration?
A. 7.5 m/s2
B. 3.8 m/s2
C. 9.1 m/s2
D. 1.1 m/s2
Answer:
a = 1.07 m/s^2
Explanation:
The computation of the acceleration is shown below:
As we know that
[tex]v_f^{2} - v_i^{2} = 2 ad[/tex]
where,
v_i = 0 m/s = initial speed
v f = 8 m/s = final speed
d = 30m = distance
Now placing these values to the above equation
[tex]8^{2} - 0 = 2 \times a \times 30[/tex]
64 = 60a
a = 1.07 m/s^2
We simply applied the above formula so that we could able to determine the acceleration
How is it possible to blow a balloon?
Explanation:
To blow up a balloon, start by pinching the neck of the balloon with your index finger and thumb. Then, take a deep breath and put the opening of the balloon in between your lips. When you're ready, loosen your grip on the neck and blow into the balloon opening so the balloon starts to fill with air.May
I NEED HELP PLEASE, THANKS! :)
Generate an explanation for the following formula: P = I²R . Explain.
Answer:
P = VI = (IR)I = I2R
Explanation:
What the equation means is that if you double the current you end up with 4 times the power loss. It's like the area of carpet you need for a room - if you make the room twice as long and twice as wide you need 4x as much carpet. The physical explanation is that the voltage difference along a wire depends on the current - more current flowing with a resistance means more voltage (pressure of electricity if you like) is built up.
This extra voltage means more power. So if you double the current your would double the power, but you also double the voltage which doubles the power again = 4x as much power. P = VI = (IR)I = I2R
I hope this helps you out, if I'm wrong, just tell me.
As I mentioned earlier, Ohm's law gives us the formula P = IV, where V is the voltage ( also known as the electrical potential difference ) and I is the current. It is confusing that P = I²R and P = IV are one in the same - so I want to go a bit deeper on that.
We have three formulas, P = IV, P = I²R, and P = V² / R. Each are considered the same. The two formulas P = I²R, and P = V² / R are derived from the statement that P = IV, under the condition V = IR. Substitute the value of V from this second condition V = IR into P = IV. You would get the following -
P = I( IR ),
P = I²R
That is how one can derive the formula P = I²R, and how P = IV and P = I²R are thought to be one in the same. If you would like, take a look at how to get the formula " P = V² / R, "
V = IR, P = IV
I = V / R, P = IV
P = ( V / R )V,
P = V² / R
Hope that helps!
N2 + O2 → 2NO N-N triple bond: 941 kJ/mol O-O double bond: 495 kJ/mol N-O bond: 201 kJ/mol
Answer:
[tex]\large \boxed{\text{761 kJ}}[/tex]
Explanation:
You calculate the energy required to break all the bonds in the reactants.
Then you subtract the energy needed to break all the bonds in the products.
N₂ + O₂ ⟶ 2NO
N≡N + O=O ⟶ 2O-N=O
Bonds: 2N≡N 1O=O 2N-O + 2N=O
D/kJ·mol⁻¹: 941 495 201 607
[tex]\begin{array}{rcl}\Delta H & = & \sum{D_{\text{reactants}}} - \sum{D_{\text{products}}}\\& = & 2 \times 941 +1 \times 495 - (2 \times 201 + 2\times 607)\\&=& 2377 - 1616\\&=&\textbf{761 kJ}\\\end{array}\\\text{The enthalpy of reaction is $\large \boxed{\textbf{761 kJ}}$}.[/tex]
Differences Between light year and astronomical unit in two points .
Answer:
A light year is the distance light travels in a year. ... And an astronomical unit is the average distance between the earth and the sun. So the distance to the sun is by definition one AU. A parsec is the distance at which one astronomical unit subtends an angle of one second of arc.
Answer: A light year is the distance light travels in a year. ... And an astronomical unit is the average distance between the earth and the sun. So the distance to the sun is by definition one AU. A parsec is the distance at which one astronomical unit subtends an angle of one second of arc
Explanation:
The leaning tower of Pisa is about 56 meters tall. A ball released from the top takes 3.4 seconds to reach the ground. The final velocity of the ball before it hits the ground is 33 meters/second. Assuming that the ball experienced a constant acceleration throughout this descent, calculate the magnitude of the acceleration. A. 0.24 g
Answer:
Magnitude of the acceleration(g) = 9.7 meters/second²
Explanation:
Given:
Height of tower = 56 meter
Time taken = 3.4 second
Final velocity (v) = 33 meters/second
Initial velocity (u) = 0 meters/second
Find:
Magnitude of the acceleration(g)
Computation:
Using first equation of motion:
v = u + at
Magnitude of the acceleration(g)
v = u + gt
33 = 0 + g(3.4)
g = 33 / 3.4
g = 9.7 meters/second²
Magnitude of the acceleration(g) = 9.7 meters/second²
why is urbanization a contribution to pollution?
Answer:
people in urban areas strip the soil of nutrition and makes it difficult to grow crops. people of urban areas consume more energy,food,and water. people in urban areas remove minerals and metals from the ground so, urbanization is a contribution to pollution .
Explanation:
it may help you and give me brainliest
Answer:
pollution and loss of trees not to mention how much electricity we use which doesnt benefit the world.
Explanation: because when we urbanize things we get rid of natural resources around us
water is a nonpolar molecule true or false
Answer:
Water is non-polar molecule False
Water is polar molecule because the electronegativity of Oxygen is much greater than electronegativity of hydrogen and it has also a bend shape that is why it is polar molecule.
Explanation:
I hope this will help you :)
False. Water is a polar molecule.
About waterWater (H2O) consists of two hydrogen atoms and one oxygen atom. The oxygen atom has a higher electronegativity, meaning it attracts electrons more strongly than hydrogen.
As a result, the shared electrons in the covalent bonds between hydrogen and oxygen are pulled closer to the oxygen atom, creating an uneven distribution of charge.
This leads to a partial negative charge (δ-) on the oxygen atom and partial positive charges (δ+) on the hydrogen atoms, making water a polar molecule.
More on polarity of water can be found here: https://brainly.com/question/30530422
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If It took 40 Seconds for a vehicle of weight 40,000 Newton to move round a 7 metres, What time will it achieve same feat for another circular path Of radius 21 metres given the Condition of the vehicle remains the same.
Answer:
t = 376.99 s
Explanation:
We must solve this problem with the equations and kinematics, let's start by looking for the speed of the vehicle,
v = d / t
v = 7/40
v = 0.175 m / s
Since the speed e remains constant, we must find the length of the circle is
L = 2π r
L = 2π 21
L = 131.95 m
In the problem it does not specify clearly, but in general the curves of the road correspond to half a circle, so the length of the road is
L ’= L / 2
L ’= 131.95 / 2 = 65.97 m
as the speed is constant
t = L ’/ v
t = 65.97 / 0.175
t = 376.99 s
How far away from the surface of earth does the acceleration due to gravity will be inclined by 36% of its value on the surface of earth? Radius of earth is 6400 km
Answer:
1,600 km
Explanation:
since the acceleration due to gravity reduces by 36%, it means that (1 - 36%) of acceleration still remains:
g' = 64g/100
using the acceleration formula:
g' = g x [R² / (R + height)²]
64g/100 = g x [R² / (R + height)²]
64/100 = R² / (R + height)²
√(64/100) = √[R² / (R + height)²]
8/10 = R / (R + height)
8 (R + height) = 10R
8R + 8height = 10R
8height = 2R
height = 2R / 8 = R / 4
R = 6,400 km
height = 6,400 km / 4 = 1,600 km
Answer:
The acceleration due to gravity will be inclined 1600 KM by 36% of its value on the surface of earth