Final answer:
The Moon orbits Earth instead of the Sun because it is closer to Earth. The strength of gravitational attraction is greater with proximity, despite the Sun's larger mass. The close distance to Earth thus ensures the Moon's stable orbit around it.
Explanation:
Even though the Sun has a greater mass than Earth, the Moon orbits Earth because it's closer to Earth than to the Sun. The gravitational force that an object experiences from another object is not just dependent on the mass but also on the distance between the two objects. In the Earth-Moon system, despite the Moon and the Sun both exerting gravitational forces on each other, the Moon remains in orbit around the Earth because it is much closer to Earth than it is to the Sun.
While the Sun is 27 million times more massive than the Moon, its gravitational pull on the Moon is lesser because it is 387 times farther away from the Earth than the Moon is. The gravitational force decreases with the square of the distance, which means that even a massive object like the Sun exerts a weaker force on the Moon compared to Earth, which is much closer.
Therefore, the Moon's orbit around Earth is stable because the Earth's gravitational pull on the Moon is significantly stronger than that of the Sun's due to the close proximity of the Moon to Earth. In the context of gravitational interactions, this proximity is the key factor in the Moon being Earth's natural satellite.
The diagram shows a heat engine. In which area of the diagram is unusable thermal energy detected?
W
X
Y
Z
Z is the area of the diagram which has unusable thermal energy
detected.
What is Thermal energy?This is also referred to as heat energy and it is responsible for
temperature differences in a body or area.
The Z region which is denoted by blue is referred to as the cold
region while the W region is the hot region. We know that since
heat is usually lost to the surroundings , then heat has been lost
to the Z region which is unusable and detected
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An airplane is flying with constant speed of 300 m/s along a horizontal circle with a radius of 15,000 m. if the lift force of the air on the wings is perpendicular to the wings, at what angle relative to the horizontal should the wings be banked?
Angle; θ ≈ 31. 5°
This question involves centripetal motion and angle of elevation.
We are told that the lift force of the air on the wings is perpendicular to the wings.This means, from centripetal motion we can write the force as;
F•sin θ = mv²/r - - - (1)
Where θ is the angle relative to the horizontal if the wings are banked.
r is radius
v is speed
Similarly, resolving the force Component along the horizontal x-axis, we will have;F•cos θ = mg - - - (eq 2)
We are given radius and speed but we don't have force (F) and mass(M). Thus, we can eliminate them by dividing equation 1 by equation 2 to get;(F•sin θ)/(F•cos θ) = (mv²/r)/mg
tan θ = v²/rg
Plugging in the relevant values L, we have;
tan θ = 300²/(15000 × 9.8)
tan θ = 0.6122
θ = tan^(-1) 0.6122
θ ≈ 31. 5°
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A wave is propagating from left to right in a medium. The particles in the medium are also vibrating from left to right. What kind of wave does this describe?
Answer:
answer is A.
Explanation:
Why are volcanoes on mars taller than those on earth?
Jerry is a successful businessman and father of three children. He has adequately resolved the ______ crisis.
Two cars both start from rest and have the same constant acceleration. when radar is used to measure the velocity of each car, car a is found to be moving twice as fast as car
b. at the instant the radar is used, car a has a displacement that is ______ times as great as the displacement of car
b.
Given that two cars, starting from rest, have the same acceleration and one reaches twice the velocity of the other, the car moving twice as fast will have a displacement that is four times greater.
Explanation:The subject matter of this question is related to the physics concept known as kinematics, which is a branch of classical physics that studies the motion of objects without considering the causes of their motion. Specifically, this question deals with the concepts of velocity, acceleration, and displacement.
Both cars start from rest and have the same constant acceleration. But when the radar measures their velocities, car A is found to be moving twice as fast as car B. In physics, it is known that the relationship between displacement, initial velocity, acceleration, and time is given by: displacement = initial velocity * time + 0.5 * acceleration * time^2. Since the initial velocities are zero and the accelerations are the same, the displacements will be directly related to the square of the time it took for the cars to reach the measured velocities. If Car A is moving twice as fast as Car B, it would have taken longer to reach its velocity, resulting in a greater displacement.
Thus, if car A is moving twice as fast as car B, it must have taken twice the time, and because displacement is proportional to the square of time, car A's displacement is four times greater than car B's displacement.
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The gravitational force of a star on an orbiting planet 1 is f1. planet 2, which is four times as massive as planet 1 and orbits at three times larger distance from the star, experiences gravitational force f2
Final answer:
The gravitational force on Planet 2, which is four times more massive but orbits at three times the distance from a star compared to Planet 1, would be 4/9 of the gravitational force on Planet 1, according to Newton's law of universal gravitation.
Explanation:
The question pertains to the gravitational force exerted by a star on two different planets in orbit. According to the provided scenario, Planet 1 experiences a gravitational force denoted as f1. Planet 2 is four times as massive as Planet 1 and orbits at a distance that is three times larger from the star, resulting in gravitational force f2. To compare f1 and f2, one can use Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. For Planet 2, which has four times the mass (4M), but is at three times the distance (3d), the force of gravity, f2, can be calculated as follows:
f2 = (G * (4M) * M_star) / (3d)^2 = (4/9) * (G * M * M_star) / d^2
Where:
G represents the gravitational constant
M is the mass of Planet 1
M_star is the mass of the star
d is the original distance between Planet 1 and the star
Comparing f2 with f1, which is (G * M * M_star) / d^2, it becomes clear that f2 = (4/9)f1. Therefore, the gravitational force acting on Planet 2 is 4/9 that of the gravitational force acting on Planet 1.
What do the different colors in a line spectrum represent? why are the spectra for each element unique?
The different colors in a line spectrum represent the different wavelengths of light emitted or absorbed by an element. Each element has a unique line spectrum because of the arrangement of electrons in its atoms.
Explanation:The different colors in a line spectrum represent the different wavelengths of light emitted or absorbed by an element. Each element has a unique line spectrum because the wavelengths of light it emits or absorbs are specific to that element. This uniqueness is due to the arrangement of electrons in the element's atoms and the energy levels they occupy.
The different colors in a line spectrum represent the different wavelengths of light emitted or absorbed by an element. Each element has a unique line spectrum because of the arrangement of electrons in its atoms.
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The difference in climate between venus, earth, and mars is primarily caused by
What is true about isolines on a weather map?
Answer: Hi, isolines refer to lines where some quantity maintains constant.
For example, an "istoremal line" is a line where the temperature is constant, an "isobaric line" is a line where the pressure is constant.
Where constant means that, in the two examples i give you, in all the line the temperature or the pressure has the same value.
A thing that you usually can see in a whether map, is that the isolines are "closed" curves. And other thing, maybe more obvious, is that a line cant pass over other line (because this will mean that a point in the space has 2 different values of something).
A ball is thrown horizontally from the top of a tall cliff. Neglecting air drag, what vertical distance will the ball have fallen after 3 seconds?
The ball will have fallen a vertical distance of 44.1 meters after 3 seconds.
To find the vertical distance the ball will have fallen after 3 seconds, we can use the equation for vertical displacement in free fall:
y = 0.5 * g * t²
where y is the vertical distance, g is the acceleration due to gravity, and t is the time.
The equation for vertical displacement is y = 0.5 * g * t².
Plugging in the values, we have:
y = 0.5 * 9.8 m/s² * (3 s)²
y = 0.5 * 9.8 m/s² * 9 s
y = 44.1 m
Therefore, the ball will have fallen a vertical distance of 44.1 meters after 3 seconds.
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The vertical distance a ball will fall after 3 seconds when thrown horizontally from a cliff can be calculated using the kinematic equation for gravity, resulting in 45 meters.
According to the physics of free-fall motion, the only acceleration acting on the ball is due to gravity, which is a constant 9.8 m/s² (though for the purpose of this problem, we approximate it to 10 m/s²).
The vertical distance fallen by the ball can be calculated using the kinematic equation for constant acceleration:
distance = 0.5 * acceleration * time²
Plugging in our values, we have:
distance = 0.5 * 10 m/s² * (3 s)²
distance = 0.5 * 10 * 9
distance = 5 * 9
distance = 45 meters
Thus, after 3 seconds, the ball will have fallen a vertical distance of 45 meters.
What is the centripetal force that would be required to keep a 4.0 kg mass moving in a horizontal circle with a radius of 0.80 meters at a speed of 6.0 meters/second?
Answer:
1.8 × 102 newtons radially inward
Answer:
The centripetal force will be 180 N inward.
Explanation:
Given that,
Mass = 4.0 kg
Radius = 0.80 m
Speed = 6.0 m/s
The centripetal force is define as the mass multiplied by tangential velocity squared, divided by the radius.
The formula of the centripetal force
[tex]F = \dfrac{mv^2}{r}[/tex]
Where, m = mass
v = velocity
r = distance
We substitute the value into formula
[tex]F = \dfrac{4.0\times6.0\times6.0}{0.80}[/tex]
[tex]F= 180 N[/tex]
Hence, The centripetal force will be 180 N inward.
The wavelength of an electron whose velocity is 1.7 Ã 104 m/s and whose mass is 9.1 Ã 10-28 g is ________ m. the wavelength of an electron whose velocity is 1.7 Ã 104 m/s and whose mass is 9.1 Ã 10-28 g is ________ m. 12 4.3 Ã 10-8 4.3 Ã 10-11 2.3 Ã 10-7 2.3 Ã 107
Scientific _____ must be supported by observations and results many investigations and are not absolute
Which pair of graphs represent the same motion of an object
Option C depicts the same motion of an object in both position-time (x-t) and velocity-time (v-t) graphs. The straight line in x-t corresponds to constant velocity, mirrored by a horizontal line in v-t.
The pair of graphs that represents the same motion of an object is option C. In this pair, both graphs depict uniform motion with a constant positive velocity. The position-time graph (x-t) shows a straight line with a constant slope, indicating consistent motion in one direction.
The velocity-time graph (v-t) is a horizontal line at a positive value, confirming the constant velocity. These graphs align with the principles of uniform motion, where an object maintains a steady speed and moves without acceleration. The symmetry between the two graphs in option C ensures they correspond to the same motion characteristics.
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The pair of graphs that represent the same motion will illustrate equal vertical displacement over equal time intervals for both balls, regardless of their horizontal motions. One graph will show a constant horizontal displacement for the ball with initial horizontal velocity, while the other will have no such displacement for the ball at rest horizontally.
Explanation:The question regarding which pair of graphs represent the same motion of an object relates to Physics, and the concept in focus is the independence of vertical and horizontal motions in two-dimensional motion.
According to the information provided, we are looking at a scenario with two balls.
One ball drops from rest while the other has an initial horizontal velocity. However, their vertical velocities and positions are identical over time, which illustrates that the vertical motion is unaffected by whether or not there is horizontal motion. Graphicals representations of such motions will show that the positions of the balls with respect to the vertical axis are the same when plotted against time.
Therefore, the graphs that represent their vertical motion will be the same (consistent vertical displacement over equal time intervals), while the horizontal motion of one ball will be represented as a constant horizontal displacement over time, and for the other ball at rest horizontally, the graph will show no horizontal displacement.
Read the passage about the fluoridation of drinking water. Since the early 1960s, fluoride has been added to many sources of drinking water to prevent cavities in teeth. This is called fluoridation. There are some who say that this is unnecessary and increases the risk of cancer. In 1993, the Subcommittee on Health Effects of Ingested Fluoride of the National Research Council, part of the National Academy of Sciences, conducted an extensive study about the link between fluoridated drinking water and increased cancer risk. The study included data from more than 50 human disease studies and six animal studies. The Subcommittee concluded that none of the data showed a link between fluoridated drinking water and cancer. A 1999 report by the CDC supported these findings. The CDC report concluded that studies so far have produced "no credible evidence” of a link between fluoridated drinking water and an increased risk for cancer. Which information makes this article reliable? Fluoride has been added to drinking water since the 1960s. Some people doubt the necessity of fluoridation. More than 50 studies were conducted. Fluoride has been found to prevent cavities in teeth.
the answer is A. more than 50 studies were conducted and C. the us public health service was responsible for part of the study.
A climber is attached to a vertical rope that has a tension of 1875 N. If the climber has a mass of 113 kg, what is the net force on the climber? A. 542 N up B. 768 N up C. 1875 N down D. 768 N down
Answer:
768 N up
Explanation:
verified
An object at rest is suddenly broken apart into two fragments by an explosion one fragment acquires twice the kinetic energy of the other what is the ratio of their masses
What is bluetooth's rate of transmission?
Which states the purpose of an experiment?
A.) to prove scientific law
B.)to test a hypothesis
C.)to communicate data
D.)to randomly observe nature
With some manipulation, the rydberg equation can be rewritten in the form e=constant×(1nf2−1ni2) which allows you to calculate the energy of the emitted light. what is the value of the constant needed to complete this equation? express the constant in joules to three significant figures.
The value of the constant needed to complete the equation is the Rydberg constant for hydrogen, which has a value of 1.09737 × 10^7 m^-1. When expressed in joules with three significant figures, it is approximately 2.18 × 10^-18 J.
Explanation:
The constant needed to complete the equation e = constant × (1nf2−1ni2) is called the Rydberg constant for hydrogen. The Rydberg constant has a value of 1.09737 × 107 m-1. To express this constant in joules with three significant figures, we can use the conversion factor between meters and joules, which is provided as 1 meter = 1.99 × 10-25 joules. Multiplying the Rydberg constant by this conversion factor gives us a value of 2.18 × 10-18 joules.
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Which of the following is an example of a population?
a.
the cats and dogs in your neighborhood
b.
the bushes and grass in a park
c.
the rocks in a rock collection
d.
the gray wolves in a forest
((hurry))
What causes high and low tides?
A: The ocean's conveyor belt and refraction
B: Earthquakes and volcanoes
C: Cold and warm currents
D: The moon's gravity and Earth's rotation
If a capacitor has opposite 4.9 μc charges on the plates, and an electric field of 1.6 kv/mm is desired between the plates, what must each plate's area be?
To achieve an electric field of 1.6 kV/mm in a capacitor charged at ±4.9 µc, each plate of the capacitor must have a calculated area of 0.000345 square meters.
Explanation:This problem is best solved using the equation for the electric field in a capacitor, which is given by the formula E = Q / (ε × A), where Q is the charge on one of the capacitor's plates, A is the area of the plates, and ε is the permittivity of free space. Given that the desired electric field E is 1.6 kV/mm or 1.6 × 10^6 V/m and ε typically assumes the value of about 8.85 × 10^-12 F/m (farads per meter), we can rearrange this formula to solve for A, the plate area:
A = Q / (E × ε)
Plugging in the problem's given charge Q = 4.9 µc or 4.9 × 10^-6 C (coulombs), we find:
A = 4.9 × 10^-6 C / (1.6 × 10^6 V/m × 8.85 × 10^-12 F/m) = 0.000345 m²
Therefore, each of the capacitor's plates must have an area of 0.000345 square meters to achieve an electric field of 1.6 kV/mm when charged at ±4.9 µc.
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A substance that produces hydroxide ions when placed in water is a(n) _____.
acid
solution
base
solvent
Mary and Jim find an unusual rock in their backyard. Which question about the rock cannot be answered through scientific investigation
1. How old is the rock
2.What minerals make up the rock
3.Is it the most unusual rock in the area
4.Is it the heaviest rock in the backyard
Answer:
correct answer is 3(Is it the most unusual rock in the area)
Explanation:
Option 1:
During the formation of a rock some quantity of radioactive elements mixed with it. By measuring the quantity of this radioactive element scientist can determine the age of the rock which is known as absolute age.
option 2:
Throgh scientific investigation scientist can determine the types of minerals which make up the rock
option 3:
Through scientific investigation scientist cannot determine whether the rock is the most unusual or not. It can be determine by just looking all the rock in the area.
Option 4
Through scientific investigation the weight of the rock can be determine and it can be determine whether it is the heaviest rock in the backyard.
A bush baby, an african primate, is capable of leaping vertical to the remarkable height of 2.3 m. to jump this high, the bush baby accelerates over a distance of 0.16 m while rapidly extending its legs. the acceleration during the jump is approximately constant. what is the acceleration in m/s2 and in gâs
The magnitude of his accelerations of the bush baby is about 140 m/s² or 14g
Further explanationAcceleration is rate of change of velocity.
[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]
[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]
a = acceleration ( m/s² )
v = final velocity ( m/s )
u = initial velocity ( m/s )
t = time taken ( s )
d = distance ( m )
Let us now tackle the problem!
Given:
h = 2.3 m
d = 0.16 m
Unknown:
a = ?
Solution:
At first we can calculate the takeoff speed of the bush baby.
[tex]v^2 = u^2 - 2gh[/tex]
[tex]0^2 = u^2 - 2 \times 9.8 \times 2.3[/tex]
[tex]u^2 = 45.08[/tex]
Next, we can calculate the acceleration in order to reach this takeoff speed.
[tex]v^2 = u^2 + 2ad[/tex]
[tex]45.08 = 0^2 + 2 \times a \times 0.16[/tex]
[tex]a = 45.08 \div 0.32[/tex]
[tex]a = 140.875 ~ m/s^2 \approx 140 ~ m/s^2[/tex]
[tex]a = 140.875 / 9.8 ~g = 14.375g \approx 14g[/tex]
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Subject: Physics
Chapter: Kinematics
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle
which would cause the greatest increase in the acceleration of a satellite?
Answer:
A decrease in the radius and an increase in the tangential speed
Explanation:
As we know that in circular motion the acceleration towards the center of the circular path is given by the formula
[tex]a_c = \frac{v^2}{R}[/tex]
now we can say that in order to increase the acceleration of the circular motion we can change the value of speed v and radius R both
here we know that
v = tangential speed
R = radius of path
so here since speed is directly dependent on the acceleration while radius is inversely depends on the acceleration so correct answer must be
A decrease in the radius and an increase in the tangential speed
What are the advantages and disadvantages of viewing a specimen with a high power objective lens?
It doesn't flip the image, it's incredibly affordable, and the photograph is in three dimensions. The limited resolution, low amplification, and solely intended for exterior assessment are drawbacks.
What is a lens?A lens is a transmissive optical tool that employs refraction to focus or disperse a light beam. The power of the lens is expressed in the dioptre which is the reciprocal of the focal length of the lens.
The image formation through the lens is calculated with the help of the lens formula given as follows
1/f = 1/v - 1/u
With a high-power optical viewfinder, you can "zoom" in closer to the item being observed and observe more detail thanks to the increased degree of magnifying it offers. A lower power lens will, however, offer a larger field of view.
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Consider a rocket that is in deep space and at rest relative to an inertial reference frame. the rocket's engine is to be fired for a certain interval. (a) what must be the rocket's mass ratio (ratio of initial to final mass) over that interval if the rocket's original speed relative to the inertial reference frame is to be equal to the exhaust speed