To calculate the distance between Pluto and the Sun given the gravitational force between them, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
m1 and m2 are the masses of the two objects (Sun and Pluto in this case)
r is the distance between the centers of the two objects
We can rearrange the formula to solve for the distance (r):
r = sqrt((G * m1 * m2) / F)
Let's substitute the given values into the formula and calculate the distance:
r = sqrt((6.67430 × 10^-11 m^3 kg^-1 s^-2 * (1.309 × 10^22 kg) * (1.989 × 10^30 kg)) / (3.911 × 10^32 N))
Calculating this expression:
r ≈ 5.917 × 10^12 meters
Therefore, the distance between Pluto and the Sun is approximately 5.917 × 10^12 meters.
The distance between Pluto and the Sun is estimated to be approximately 5.917 × 10^12 meters, based on the given gravitational force between the two objects.
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a 0.11-kg tin can is resting on top of a 1.7-m high fence post. a 0.0020-kg bullet is fired horizontally at the can. it strikes the can with a speed of 900.0 m/s, passes through it, and emerges with a speed of 720 m/s. when the can hits the ground, how far is it from the fencepost? disregard friction while the can is in contact with the post.
It is 1.93 metres away from the post.
for vertical motion
\(S= u t + \frac{1}{2} g t^{2}\)
S = 0 + \(\frac{1}{2} g t^{2}\)
1.7 = \(\frac{1}{2} 9.8 t^{2}\)
t = 0.589 sec
using law of conservation of momentum, on the horizontal motion
\(m_{bullet} \ v_{bullet i} = m_{bullet} \ v_{bullet f} + m_{tin} \ v_{tin}\)
\(0.0020 = 0.0020 \ 3 \ 720 + 0.11 \ v_{tin}\)
\(v_{tin}\) = 3.273 m/s
S = \(v_{tin} \ t\)
= 3.273 m/s * 0.589 s
= 1.93 m
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An ocean scientist plans to spend several days underwater in a submarine. Doctors on land will monitor her body to make sure she is healthy during her trip. What is one way doctors will be able to tell whether her body is healthy enough to do all her tasks while she is in the submarine?
Answer:
The doctors could see if her cells are getting the molecules they need from food and air
Explanation:
The doctors could see if her cells are getting the molecules they need from food and air. Doing so allows the doctors a general overview of how well her body's biological systems are performing since the basic necessities of the human system are food and oxygen. Therefore if the body is receiving both food and oxygen properly and distributing it properly and efficiently as well without any problems then the most likely outcome is that she is healthy enough to perform her tasks in the submarine under more pressure.
Answer:
The doctors could see if her cells are getting the molecules they need from food and air
Explanation:
The charges of two particles are as follows: Q1=2 x 10 -8 C and Q2 = 3 x 10 -7 C. Find the magnitude of the force between these charges if Q1 is located at (2, 5, 1) and Q2 is located at (3, 2, 3).
Answer:
F = 3.86 x 10⁻⁶ N
Explanation:
First, we will find the distance between the two particles:
\(r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}\\\)
where,
r = distance between the particles = ?
(x₁, y₁, z₁) = (2, 5, 1)
(x₂, y₂, z₂) = (3, 2, 3)
Therefore,
\(r = \sqrt{(3-2)^2+(2-5)^2+(3-1)^2}\\r = 3.741\ m\\\)
Now, we will calculate the magnitude of the force between the charges by using Coulomb's Law:
\(F = \frac{kq_{1}q_{2}}{r^2}\\\)
where,
F = magnitude of force = ?
k = Coulomb's Constant = 9 x 10⁹ Nm²/C²
q₁ = magnitude of first charge = 2 x 10⁻⁸ C
q₂ = magnitude of second charge = 3 x 10⁻⁷ C
r = distance between the charges = 3.741 m
Therefore,
\(F = \frac{(9\ x\ 10^9\ Nm^2/C^2)(2\ x\ 10^{-8}\ C)(3\ x\ 10^{-7}\ C)}{(3.741\ m)^2}\\\)
F = 3.86 x 10⁻⁶ N
2.One car with a mass of 400kg is traveling east at 20m/s and collides with a car of mass 800kg traveling west at 15m/s. Assuming the collision is completely inellastic, what is velocity of the first car after the collision?
Answer:
3.33 m/s west
Explanation:
East is the positive direction.
400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v
-4000kgm/s=1200kg*v
v=-3.33
400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v. -4000kgm/s=1200kg*v and v=-3.33.
What is Collision?Collision, which is also known as impact, is the abrupt, powerful coming together in close proximity of two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when linked, or a falling object and a floor.
Two factors—the force and the amount of time the items are in contact—affect the outcome of impact in addition to the characteristics of the two objects' materials.
A hard steel ball dropped on a steel plate will typically rebound to almost the same location from whence it was dropped, while a putty or lead ball would not.
Therefore, 400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v. -4000kgm/s=1200kg*v and v=-3.33.
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Which property of the water molecule causes two water molecules to be attracted to each other? (2 points)
Polar bonds between H and O atoms
Ionic bonding between water molecules
Hydrogen bonds between H atoms
Ionic bonding between O atoms
Answer:
hydrogen bonding between H atoms.
Explanation:
A racing car can be slowed with a deceleration of -11 m/s2. If it is moving with 55 m/s. How far will it travel to stop, express your answer in scientific notation?.
Answer: 137.5m
Explanation:
We are given the acceleration, the initial velocity, and implicitly given the final velocity. It wasn't stated, but the final velocity is zero. The car will eventually come to a stop. We can use the kinematic formula below to find the displacement given the initial conditions:
\(v_f^2=v_i^2+2ad\)
\(0^2=55^2+2(-11)(d)\)
\(-55^2=-22d\)
\(55^2=22d\)
\(3025=22d\)
\(d=137.5m\)
7. A car travels a certain distance with a speed of
50 km/h and returns with a speed of 40 km/h.
Calculate the average speed
Plz help
The drawing shows a skateboarder moving at v = 5.4 m/s along a horizontal section of a track that is slanted upward by 48° above the horizontal at its end, which is h = 0.54 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.
Ignoring friction and air resistance, the skateboarder will reach a maximum height of 0.97 m above the end of the track.
The skateboarder's motion can be modeled as a projectile motion problem. The initial velocity of the skateboarder, v, is 5.4 m/s and the angle of the inclined track is 48° above the horizontal.
Ignoring air resistance and friction, the equation for the maximum height H that the skateboarder can reach can be derived from the formula for the vertical component of the initial velocity, which is
vy = v sin θ.
Therefore, the equation for the maximum height H is:
H = v2sin2(θ)/2g, where g is the acceleration due to gravity (9.8 m/s2).
Substituting the values for the initial velocity (v = 5.4 m/s) and the angle of the inclined track (θ = 48°), the maximum height that the skateboarder can reach is:
H = (5.42)(sin2(48°))/(2*9.8)
H = 0.97 m
The maximum height that the skateboarder can reach is 0.97 m above the end of the track.
This is because the skateboarder's initial velocity is 5.4 m/s and the inclined track has an angle of 48° above the horizontal. Since air resistance and friction are not taken into consideration, the skateboarder will reach a maximum height of 0.97 m above the end of the track.
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Rauol's friend Johnny sets out from his house in the city. His displacement is 900 m 80° North of west. What is the x component of his displacement vector?
Answer:
156.28m
Explanation:
Given;
His displacement is 900 m 80° North of west
Let North and South represent y axis and west east represent axis.
the x component of his displacement vector can be written as;
dx = dcosθ
Where d is the resultant displacement = 900m
θ is the angle with the x axis = 80°
Substituting the values;
dx = 900cos80°
dx = 156.2833599002 m
dx = 156.28 m
the x component of his displacement vector is 156.28m
not sure on what to write in the blank spots.
Answer:
Explanation:
I hope this was all you wanted. Everything else seems finished correctly.
Is Potential energy
the energy of gravity moving an object down."
Answer:
no
Explanation:
because of the potential difference
When you rub two sticks together, it causes friction. What does the friction produce? A. sound energy B. heat energy C. electrical energy D. light energy
Answer:
B
Explanation:
When rubbing two sticks together it causes friction witch at fast enough friction rate produces heat energy
A dog walks 12 meters to the west and then 16 meters back
to the east.
The dog covered 28 m of distance, magnitude of displacement is 4m and direction is in east.
Distance is a scalar quantity that describes how much ground an object covers while moving, and displacement is a vector quantity that describes how far an object has travelled. This is the global change in the object's position.
We know that total distance travelled = 12 m + 16 m = 28 m.
First the dog walks 12m west, but then walks back 16m east. That means you have to subtract the distances to get the displacement.
Displacement = 12 - 16 = -4m (4m to the east, because the distance can never be negative)
Full question here :
Q. A dog walks 12 meters to the east and then 16 meters back to the west. For this motion, what is the distance moved? What is the magnitude and direction of the displacement?
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At am outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude of 29.8981 cm on spring with a spring constant
Answer:
Hello your question lacks some very vital information hence I will give you a general equation where you can input the missing values and get your answer
answer : mass of Bananas ( m ) = \(\frac{A^2}{V^2} * K\)
To calculate for weight of Bananas = m * g where g = 9.8
Explanation:
Given an amplitude ( A )= 29.8981
Spring constant = x ( unknown )
maximum speed of Bananas( v ) = wA ( unknown )
question : calculate the weight of the bananas
First step : calculate the period of oscillation
T = \(\frac{2\pi }{vA}\) --- ( 1 )
next step : express T in terms of mass ( m ) of the bananas
= \(2\pi \sqrt{\frac{m}{k} } = \frac{2\pi }{vA}\)
∴ m/k = A^2 / v^2
hence mass of Bananas ( m ) = \(\frac{A^2}{V^2} * K\)
To calculate for weight = m * g
clear workings please, quickly
Show workings What is the elasticity of demand for wheat bread for a price increase from \( \$ 7 \) to \( \$ 9 \) (using the mid-point method)? What does the elasticity coefficient means?
To calculate the elasticity of demand using the mid-point method, we can use the formula:
Elasticity of Demand = (Percentage change in quantity demanded) / (Percentage change in price)
First, let's calculate the percentage change in quantity demanded:
Change in quantity demanded = \( Q_2 - Q_1 \) = \( 0 - 100 \) = -100
Average quantity demanded = \( (Q_1 + Q_2) / 2 \) = \( (100 + 0) / 2 \) = 50
Percentage change in quantity demanded = (Change in quantity demanded / Average quantity demanded) * 100
Percentage change in quantity demanded = (-100 / 50) * 100 = -200%
Next, let's calculate the percentage change in price:
Change in price = \( P_2 - P_1 \) = \( 9 - 7 \) = 2
Average price = \( (P_1 + P_2) / 2 \) = \( (7 + 9) / 2 \) = 8
Percentage change in price = (Change in price / Average price) * 100
Percentage change in price = (2 / 8) * 100 = 25%
Now we can calculate the elasticity of demand:
Elasticity of Demand = (Percentage change in quantity demanded) / (Percentage change in price)
Elasticity of Demand = (-200% / 25%) = -8
The elasticity coefficient of -8 means that the demand for wheat bread is highly elastic. This means that a change in price will result in a proportionately larger change in quantity demanded. In this case, a 1% increase in price would lead to an 8% decrease in quantity demanded. Similarly, a 1% decrease in price would result in an 8% increase in quantity demanded.
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At a constant pressure, the volume of a gas varies as to the absolute temperature and at a constant volume the pressure of the gas varies directly with the absolute temperature. This is known as ____.
At a constant pressure, the volume of a gas varies as to the absolute temperature and at a constant volume the pressure of the gas varies directly with the absolute temperature. This is known as ideal gas law.
The statement describes two fundamental gas laws: Boyle's Law and Charles's Law. When combined, they form the ideal gas law.
According to Boyle's Law, the volume of a gas at constant temperature is inversely proportional to its pressure. It may be expressed mathematically as P₁V₁ = P₂V₂, where P₁ and V₁ are the beginning pressure and volume, and P₂ and V₂ are the final pressure and volume.
According to Charles' Law, the volume of a gas under constant pressure is exactly proportional to its absolute temperature. V₁ / T₁ = V₂ / T₂, where V₁ and T₁ are the beginning volume and temperature, and V₂ and T₂ are the final volume and temperature.
When these two laws are combined, we get the ideal gas law: PV = nRT, where P is pressure, V is volume, n is the number of moles, T is the absolute temperature, and R is the ideal gas constant. The connection between pressure, volume, temperature, and the quantity of gas molecules is described by this law.
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Which of the following best describes the relationship between frequency and wavelength of electromagnetic waves?
a
b
If the frequency remains constant, the wavelength increases.
The wavelength decreases as the frequency decreases.
The frequency increases as the wavelength decreases.
If the wavelength remains constant, the frequency increases.
С
d
Answer:
The option that best describes the relationship between frequency and wavelength of electromagnetic waves is the third option
c. The frequency increases as the wavelength decreases
Explanation:
The frequency of an electromagnetic wave, 'f', is given by the following formula;
\(Frequency, \, f = \dfrac{Wave \ Speed,v }{Wavelength, \ \lambda}\)
From the above formula, the frequency of an electromagnetic wave is inversely proportional to the wavelength, and therefore, a higher frequency, ('f', to increase), requires a lower wavelength, (λ, decreases)
The correct option is that the frequency of an electromagnetic increases as the wavelength of the wave decrease.
What is a scientific theory?
Answer:
Scientific theories are explanations of some aspect of the natural world based on repeated observations.
Hope this helps!!!!
Answer:
The way that scientists use the word 'theory' is a little different than how it is commonly used in the lay public," said Jaime Tanner, a professor of biology at Marlboro College. "Most people use the word 'theory' to mean an idea or hunch that someone has, but in science the word 'theory' refers to the way that we interpret facts.
Explanation:
the electromagnetic spectrum organizes electromagnetic waves based on their
All electromagnetic waves are organized into a continuum called the electromagnetic spectrum according to their frequency and wavelength.
What are frequency and wavelength?The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured on cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz). In this article, the relationship between frequency and wavelength is covered.
What is an example of a wavelength?Here are some wavelength examples: Yellow Light is a prime example. The wavelength range of all visible light is 400 to 700 nanometers (nm). The wavelength of yellow light is 570 nanometers or such. Wavelength (nm) (nm)
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Please round 1045.2 to three significant digits
Answer:
1040
Explanation:
The rules for significant digits is that non-zero digits are significant figures. The zero in between 1 and 4 is significant because any zeroes between two significant digits are significant. Trailing zeroes if there is no decimal point are insignificant.
The number 1045.2 rounded to three significant digits would be 1040 because the rightmost zero is not a significant digit.
What are significant figures?In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.
The definition of a significant digit according to the criteria is a non-zero digit. Any zeroes between two significant digits, such as the one between 1 and 4, are noteworthy. In the absence of a decimal point, trailing zeroes are not relevant.
According to the criteria for significant digits, non-zero digits are important numbers. The zero between 1 and 4 is crucial, as is any zero between two significant digits. The trailing zeroes are irrelevant if there is no decimal point.
Thus, the number 1045.2 rounded to three significant digits would be 1040.
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The series of wavelike contractions of the smooth muscles in a single direction is known as ____________________.
The series of wavelike contractions of the smooth muscles in a single direction is known as peristalsis
What is peristalsis?Muscles contract and relax in a radially symmetrical pattern during peristalsis, which travels anterogradely down a tube like a wave.The process of synchronized involuntary circular muscle contraction known as peristalsis is initiated by the simultaneous contraction of the longitudinal muscle and relaxation of the circular muscle in the stomach lining.The human gastrointestinal tract is an example of a digestive tract where smooth muscle tissue contracts sequentially to create a peristaltic wave, which drives a ball of food (referred to as a bolus before being converted into chyme in the stomach) along the tract.Circular smooth muscles relax first, then contract behind the chewed material to prevent it from traveling backward, and finally, longitudinal smooth muscles contract to push.To learn more about peristalsis with the given link
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wave is approaching the beach. As the wave travels from
the deep ocean to the shore where it is shallower, which of the following will be a
result? Circle all that apply.
a. The wave will have a longer wavelength.
b. The wave will have a lower frequency.
c. The wave will have a higher velocity.
d. The wave will have a greater amplitude.
As the wave travels from the deep ocean to the shore where it is shallower, the following which will be a result include the following:
a. The wave will have a longer wavelength.
b. The wave will have a lower frequency.
What is a Wave?This is referred to as the propagation of disturbances which carries energy without a net movement of the particles.
Wavelength and frequency have an inverse relationship and we were told that the wave traveled from the deep ocean to the shore means it has a long wavelength which therefore means that it will also have a low frequency.
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The earth's atmosphere has about \( 10^{-4} \% \) helium and about \( 10^{-5} \% \) hydrogen Can this be explained from kinetic theory considerations?
The presence of helium and hydrogen in the Earth's atmosphere can be explained through kinetic theory considerations. The different masses and velocities of gas particles lead to variations in their distribution, resulting in the observed concentrations of helium and hydrogen.
According to the kinetic theory of gases, gases consist of numerous particles in constant random motion. The average kinetic energy of gas particles is directly proportional to the temperature. However, the speed and mass of particles also play a role in determining their distribution in the atmosphere.
Helium (He) has a lower mass compared to other gases, including nitrogen and oxygen, which are the primary components of the Earth's atmosphere. Due to its lower mass, helium atoms have higher average velocities at a given temperature.
Consequently, helium tends to have a higher probability of reaching escape velocity and escaping the Earth's gravitational field. This results in a relatively low concentration of helium in the atmosphere.
Similarly, hydrogen (H₂) has an even lower mass than helium, making it more likely to have higher average velocities and escape the atmosphere.
However, hydrogen is also highly reactive and tends to react with other elements, forming compounds or escaping into space. This leads to a very low concentration of hydrogen in the Earth's atmosphere.
In contrast, gases like nitrogen (N₂) and oxygen (O₂) have higher molecular masses and lower velocities, making them less likely to escape and allowing them to accumulate in larger quantities in the atmosphere.
Therefore, the variations in the mass and velocity of gas particles, as explained by kinetic theory considerations, help us understand the relatively low concentrations of helium and hydrogen in the Earth's atmosphere.
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if a person were traveling at 1/2 the speed of light, how long would it take them to travel a light-year from their own point of view?
It would take a human little more than 22 years to cross the same distance if they could move at half the speed of light.
How much time does light need to traverse one second?The speed of light is 300,000 kilometres (186,000 mi) per second. In other words, light covers the same distance in a single second as it would take you to circle the Earth 7.5 times! About one light second separates you from the moon.
What happens if you move at a speed that is half that of light?Even time is a relative concept. This led scientists to conclude that the speed of light is constant and unaffected by the observer.
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blank is the equation that relates wave speed, frequency and
wavelength (wave speed = frequency x wavelength).
Answer:
i'm pretty sure it is wave speed or wave
found at the higher frequency end of the radio spectrum, but they are commonly distinguished from radio waves because of the technologies used to access them
what wave is this called
Answer:
stealing my points back
Explanation:
Four forces are acting on the block in the diagram. One of the forces is unknown. If the block is in equilibrium, what is the correct unknown force?
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how does a distance-time graph show you which direction the runner is moving? Use your own words and science vocabulary.
Please help will give brainliest to whoever does a 4 setence answer
In a distance time graph, when the x and y values are positive (in first quadrant), the runner is moving forward.
While, if the distance value ( in the y axis) is negative, the runner is moving backwards ( towards the start) .
Hope it helps :)
A distance-time graph shows how far an object has travelled in a certain time. This is a simple line graph that plots observations by distance versus time.
The distance is transferred to the Y axis.
Time is plotted on the X-axis.
The distance-time graph when we study the motion of bodies. If you set the distance and time of the movement of the object and transfer the same data to a rectangular graph, you will get a distance-time graph corresponding to the movement of the object.
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4. for an object in uniform circular motion, on what parameters does the determination of the centripetal force depend when we use f = ma?
When we use f = ma, the centripetal force is dependent on the parameters mass, acceleration, and frequency.
The centripetal force that a car needs to turn around a curve comes from where?Friction between the tires and the road is the cause of the centripetal force that causes the car to turn in a circle. The car must have a minimum coefficient of friction or it will travel in a larger-radius curve and leave the road.
Is the centripetal force zero moving in a straight line?Because in a circular motion, the particle always moves in a direction that is perpendicular to the radial direction. As a result, the centripetal force's work in a circular motion is always zero, and the dot product is always zero.
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Someone help me with this
Answer:
I can't read the questions they aren't in the photo