Answer:
0.303 seconds
Explanation:
We need to find the time that the cell phone takes to reach the sink. So, we will use the following equation
\(y=y_i+v_it+\frac{1}{2}at^2\)Where
yi is the initial position, so yi = 0.45 m
vi is the initial velocity. Since it is freefall, vi = 0 m/s
a is the acceleration due to gravity, so a = -9.8 m/s²
y is the final position, so y = 0 m
t is the variable that we need to find.
So, replacing the values, we get:
\(\begin{gathered} 0=0.45+0t+\frac{1}{2}(-9.8)t^2 \\ 0=0.45-4.9t^2 \end{gathered}\)Now, we can solve for t
\(\begin{gathered} -0.45=-4.9t^2 \\ \frac{-0.45}{-4.9}=t^2 \\ 0.09=t^2 \\ \sqrt[]{0.09}=t \\ 0.303\text{ s = t} \end{gathered}\)Therefore, you have 0.303 seconds before your cell phone is ruined.
5.
If a bicycle and a massive truck have a head-on collision, upon which vehicle is the impact force
greater?
Which vehicle undergoes the greater change in acceleration?
Answer:
the bike will probly go flying and the truck will go to a stop and the truck will not flyover the bike bc the truck is heavier
Explanation:
The impact force and the change in acceleration of cycle will be greater.
We have a situation of head on collision between a bicycle and a massive truck.
We have to -
compare the impact forces of the vehiclescompare the change in acceleration of vehiclesWhat is head - on collision ?A head-on collision is a traffic collision where the front ends of two vehicles such as cars, trains, ships or planes hit each other when travelling in opposite directions.
According to the question -
Suppose that both the cycle and truck are moving with the same velocity v m/s.
PART - A
The difference between the mass of the cycle and truck is very large.
This means that the momentum of both cycle (c) and truck (t) will be -
p(t) >> p(c)
Hence, the impact force on the cycle is very very high.
PART - B
Since, the impact force on cycle is very high therefore the change in acceleration of cycle will be greater.
Hence, the impact force and the change in acceleration of cycle will be greater.
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All foods can be classified as either good or bad for my body
Answer:
False
Explanation:
While most foods can be classified as "good" or "bad" for our bodies, some foods are more complicated. Some healthy foods could be bad for you if you're allergic to them, and other foods could have both positive and negative effects on your body.
what is the average velocity of a race car that traveled 88km in 20 min
Answer:
73.3333meters per second
Explanation:
average velocity= distance ÷ time
=(88×1000)/(20×60)
=73.3333m/s
At 13:20 on the last Friday in September, 1989 a frantic call was received at the local police station. There had been a serious automobile accident at the intersection of Main Street and State Street with injuries involved. Lt. John Henry arrived at the scene ten minutes after the phone call and found that two cars had collided at the intersection. In one car, the driver was unconscious and in the other car, both the driver and one passenger were injured.
After the emergency vehicles transported the injured to the hospital, Lt. Henry's responsibility is to investigate the accident in order to determine whether one of the drivers (or both) are responsible. With the severity of injury in this accident, the investigation is critical because there may be a fatality involved.
1. What questions does John Henry have to answer in this investigation? What measurements does he need to take? What data should he collect? What other information does he need to record in order to aid the investigation? What physics principles will John Henry need to use in order to help analyze the data and answer his questions?
2. If two cars moving at right angles to each other collide, in what direction do you expect the cars to be moving after the collision?
3. What factors will influence the direction and distance traveled after impact?
The kinematics and conservation of momentum relationships allow to find the results for the questions about the measurements and conditions to know the accident conditions are:
1) The principles of conservation of momentum and kinematics.
2) \(\theta = tan^{-1} \frac{P_{01}}{p_{02}}\)
3) The factors that influence the direction and distance traveled are:
The initial speed of the vehicles
The mass of the vehicles
Pavement conditions: dry, wet, humid, with dirt or loose sand.
1) Kinematics studies the movement of bodies, they look for relationships between position, speed and acceleration.
To analyze the accident, you must answer a question such as what speed the vehicles had before the accident, this is the initial speed of each one and their directions.
When reviewing the kinematics relationships we have.
\(v^2 = v_o^2 - 2 a x\)
Where the acceleration is given by Newton's second law.
fr = m a
The friction force is given by the expression.
fr = μ N
fr = μ mg
Let's Substitute.
μ m g = m a
a = μ g
The friction coefficient is tabulated, for different types of rubber, pavement and wet, dry conditions, etc.
Therefore, the researcher must measure the braking distance of the vehicles, which can be taken from the mark of the tires on the road and note the condition of the pavement if it is dry or wet and the visibility of the day.
This is the speed of the vehicles just after the impact, using the law of conservation of momentum you can find the speed of the vehicles before the impact
\(p_o = p_f\) \f
Where this is a vector expression, which in general is solved with the components of each directional.
Consequently to answer the questions you must use the principles of conservation of momentum and kinematics.
2) If the vehicles travel at right angles and their masses are similar, the direction after the collision in each direction.
\(tan \theta = \frac{p_{01}}{p_{02}}\)
\(\theta = tan ^{-1} \frac{p_{01}}{p_{02}}\)
3) The factors that influence the direction and distance traveled are:
The initial speed of the vehicles
The mass of the vehicles
Pavement conditions: dry, wet, humid, with dirt or loose sand.
In conclusion, using the kinematics and conservation of momentum relationships, we can find the answers to the question about measurements and conditions to know the accident conditions are:
1) The principles of conservation of momentum and kinematics.
2) \(\theta = tan^{-1} \frac{P_{01}}{p_{02}}\)
3) The factors that influence the direction and distance traveled are:
The initial speed of the vehicles
The mass of the vehicles
Pavement conditions: dry, wet, humid, with dirt or loose sand.
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There is a ball of fresh fruit at the top of a small cliff that is 45 m high. The fresh fruit baskets mass is 10kg's. Identify the energy (PE or KE) and calculate the it.
Given,
The mass of the fruit basket, m=10 kg
The height of the cliff, h=45 m
Kinetic energy is the energy possessed by an object due to its motion. Kinetic energy is directly proportional to the square of the velocity of the object.
Potential energy is the energy possessed by an object due to its position. The gravitational potential energy is directly proportional to the height at which the object is situated.
As the basket is at rest, its velocity is zero and hence it does not have kinetic energy.
Thus the energy possessed by the fruit basket is the potential energy.
The potential energy is given by,
\(E_P=\text{mgh}\)Where g is the acceleration due to gravity.
On substituting the known values,
\(\begin{gathered} E_P=10\times9.8\times45 \\ =4410\text{ J} \end{gathered}\)The potential energy of the fruit basket is 4410 J
Liquid water cannot exist for very long on the surface of mars today because.
Answer:
mars is to hot
Explanation:
Which has zero acceleration? A) an object at rest B) an object moving at constant velocity C) an object in mechanical equilibrium D) all of the above E) none of the above
The option which has zero acceleration is the choice "B) an object moving at constant velocity."
Explanation:
Acceleration refers to the change in velocity per unit time.
In other words, it refers to the rate of change in velocity. As a result, an object may have zero acceleration if it is stationary (i.e., not moving) or if it is travelling at a steady speed (i.e., a constant velocity) without any change in velocity. The acceleration of an object is frequently described as a vector quantity because it includes both the object's direction of motion and its magnitude. The velocity of an object is also a vector quantity because it has a direction and a magnitude as well. The direction of the object's velocity is always tangent to the path of motion. Therefore, the correct answer to this question is option B) an object moving at constant velocity, which has a zero acceleration.
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Why do scientists believe that light is made of streams of particles?
Sample Response: Scientists believe that light is made of streams of particles because only the presence of photons can explain phenomena observed during experiments on the photoelectric effect. These observations include only some frequencies of light causing the ejection of electrons, no time gap existing between light striking a metal and electrons being ejected, and intensity having no effect on the kinetic energy of the ejected electrons.
Scientists believe that light is made of streams of particles, called photons, because of their observed behavior. In certain experiments, such as the photoelectric effect, it was found that light behaves more like a particle than a wave. For example, light can knock electrons out of atoms, which would require a particle-like behavior. Additionally, the energy of each photon is directly proportional to its frequency, which is a characteristic of particles. The behavior of light in other experiments, such as the double-slit experiment, can also be explained by the wave-like behavior of photons. Therefore, scientists have concluded that light has both particle and wave-like properties, known as wave-particle duality.
While this answer may provide helpful information for your assignment, it is important to remember that using it verbatim could be seen as plagiarism. To avoid this, it is best to use your own words and properly cite any sources used. This will ensure that you are giving credit to the original author and presenting your own unique perspective on the topic.
~~~Harsha~~~
A tennis ball rolls off the edge of a table. the table is 0.55m tall and the tennis ball lands 0.12m away from the table.
Answer:
v = 0.363 m/s
Explanation:
Given that,
The table is 0.55m tall and the tennis ball lands 0.12m away from the table.
Here, u = 0 (at rest) for initial vertical velocity as it rolls off the edge of a table.
Let t is the time to fall from the vertical height. So,
\(h=ut+\dfrac{1}{2}at^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\times 0.55}{9.8}} \\\\t=0.33\ s\)
It can be assumed to find the initial horizontal velocity of the tennis ball. It can be given by :
\(v_x=\dfrac{x}{t}\\\\v_x=\dfrac{0.12}{0.33}\\\\v_x=0.363\ m/s\)
Hence, the initial horizontal velocity is 0.363 m/s.
Find the magnitude of the gravitational force a 67.5kg person would experience while standing on the surface of Pluto that has a mass of 5.2x10 23(squared) kg and a distance of
4x10 5(squared) m.
The magnitude of the gravitational force experienced by a 67.5 kg person on the surface of Pluto is approximately \(2.49 \times10^-7 N.\)
What is magnitude of the gravitational force?The magnitude of the gravitational force is a scalar value that represents the strength of the gravitational attraction between two objects. It is a measure of the force of gravity acting on an object, regardless of its direction.
The magnitude of the gravitational force between two objects can be calculated using Newton's law of gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. The formula for the force of gravity is given by:
\(F = G * (m1 * m2) / r^2\)
where F is the force of gravity, m1 and m2 are the masses of the two objects, r is the distance between them, and G is the gravitational constant.
Calculation of magnitude of the gravitational forceUsing this formula, calculate the magnitude of the gravitational force experienced by a 67.5 kg person on the surface of Pluto:
\(F = G * (67.5 kg) * (5.2 \times 10^23 kg) / (4 \times 10^5 m)^2\)
\(F = 6.67 \times10^-11 Nm^2/kg^2 * (67.5 kg) * (5.2 \times 10^23 kg) / (4 \times10^5 m)^2\)
\(F = 6.67 \times 10^-11 * (67.5 kg) * (5.2 \times 10^23 kg) / (4 \times 10^5 m)^2\)
\(F = 2.49 \times 10^-7 N\)
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a daring ranch hand sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. (don't try this at home.) the speed of the horse is 9.28 m/s and the vertical distance from the limb to the saddle is 3.00 m.
Using time and velocity relationship, we concluded that he horse will be in air for 0.80 seconds.
What is the relationship between time and velocity?velocity-time. In evenly accelerated, straight-line motion, the relationship between velocity and time is straightforward. The magnitude of the velocity change increases with lengthier acceleration. When acceleration is constant, the change in velocity is exactly proportional to time.
Both the horse and the human have constant accelerations, which are 0 for the horse and g downward for the human.
(A) Take into account the man's vertical motion after he leaves the limb (with v₀ = 0, yi = 3m).
Finding the man's time of fall from y = y₀ + vt + 1/2 a t² requires modeling him as a particle with continuous acceleration.
when v₀ = 0
t = √(2(y - y₀)/a)
= √ (2(0 - 3) / -9.28)
= √0.64
= 0.80s
Complete Question -
A daring ranch hand sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 10.0m/s, and the distance from the limb to the level of the saddle is 3.00m. (a) For what time interval is he in the air?
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Pretend you are explain net force to someone much younger than you. Explain how to calculate net force and how the net force determines the object’s motion.
Answer:
you can tell them it is the amount of "push" on an object then you can explain using a soccer ball being kicked or a cart being pushed
Explanation:
what is the greatest distance you can be from base camp at the end of the third displacement regardless of direction
To determine the greatest distance you can be from the base camp at the end of the third displacement, regardless of direction, we need more specific information about the magnitudes and directions of the displacements.
Displacement is a vector quantity that has both magnitude and direction. The distance covered during multiple displacements depends on the individual magnitudes and directions of each displacement. Without specific values, it is not possible to determine the exact greatest distance from the base camp.
If you provide the magnitudes and directions of the three displacements, I can help you calculate the total distance and determine the maximum possible distance from the base camp at the end of the third displacement.
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Learning Goal To practice Problem-Solving Strategy 27.2 Motion in Magnetic Fields. EVALUATE your answer An electron inside of a television tube moves with a speed of 2.56x107 m/s. It encounters a region with a uniform magnetic field oriented perpendicular to its trajectory. The electron begins to move along a circular arc of radius 0.190 m. What is the magnitude of the magnetic field? Part C Calculate the magnitude F of the force exerted on the electron by a magnetic field of magnitude 8.27x10^-4 T oriented as described in the problem introduction. Express your answer in newtons
The magnitude of the magnetic field is 0.090 T. The magnitude of the force exerted on the electron by the magnetic field is 2.09 x 10⁻¹³N.
To find the magnitude of the magnetic field, we can use the formula for the magnetic force experienced by a charged particle moving in a magnetic field.
The magnetic force (F) acting on a charged particle can be calculated using the formula:
F = q * v * B * sin(θ)
where:
F is the force,
q is the charge of the particle (in this case, the charge of an electron, which is 1.6 x 10^(-19) C),
v is the velocity of the particle,
B is the magnitude of the magnetic field, and
θ is the angle between the velocity vector and the magnetic field vector (90 degrees in this case).
We are given the velocity of the electron (v = 2.56 x 10⁷m/s) and the radius of the circular arc (r = 0.190 m).
Since the electron is moving in a circular arc, the magnetic force provides the necessary centripetal force to keep the electron in its circular path.
The centripetal force (Fc) can be calculated using the formula:
Fc = (m * v²) / r
where m is the mass of the electron (9.11 x 10⁻³¹kg).
Since the magnetic force and the centripetal force are equal, we can set up an equation:
q * v * B = (m * v²) / r
Solving for B, we get:
B = (m * v) / (q * r)
Substituting the known values:
B = (9.11 x 10⁻³¹ kg * 2.56 x 10⁷ m/s) / (1.6 x 10⁻¹⁹ C * 0.190 m)
Calculating the value, we find:
B ≈ 0.090 T
Therefore, the magnitude of the magnetic field is approximately 0.090 T.
To calculate the magnitude of the force (F) exerted on the electron, we can use the same formula:
F = q * v * B * sin(θ)
Substituting the given values:
F = (1.6 x 10⁻¹⁹ C) * (2.56 x 10⁷ m/s) * (8.27 x 10⁻⁴ T) * sin(90°)
Calculating the value, we find:
F ≈ 2.09 x 10⁻¹³ N
Therefore, the magnitude of the force exerted on the electron by the magnetic field is approximately 2.09 x 10⁻¹³ N.
The magnitude of the magnetic field is 0.090 T, and the magnitude of the force exerted on the electron by the magnetic field is 2.09 x 10⁻¹³N.
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What's the meaning of life?
Explanation:
life is about the good and bad experiences
The meaning of life is a complex and multifaceted concept, with various interpretations depending on one's philosophical, spiritual, and cultural outlook. According to the Stanford Encyclopedia of Philosophy, one view is that the concept of meaning in life is a cluster of overlapping ideas, such as fulfilling higher-order purposes, meriting substantial esteem or admiration, transcending one’s animal nature, exhibiting a compelling life story, making sense, or having a noteworthy impact [1]. Similarly, Psychology Today suggests that the meaning of life is that which we choose to give it [2].
On the other hand, the Merriam-Webster dictionary defines life as a specific phase of earthly existence, a vital or living being, or a way or manner of living [3]. Meanwhile, Britannica defines life as any system capable of performing functions such as eating, metabolizing, excreting, breathing, moving, growing, reproducing, and responding to external stimuli [4].
Overall, the meaning of life can be derived from philosophical and religious contemplation, scientific inquiries, or even individual choice.
Sources:
https://plato.stanford.edu/entries/life-meaning/
https://www.psychologytoday.com/us/blog/hide-and-seek/201803/what-is-the-meaning-life
https://www.merriam-webster.com/dictionary/life
https://www.britannica.com/science/life
if vector A =i+2j-k and vec A cross vec B =3i-j+5k. find vec B
Let B = a i + b j + c k. Then the cross product of A = i + 2j - k with B is
A × B = ( i + 2j - k ) × ( a i + b j + c k )
A × B = a ( i × i ) + 2a ( j × i ) - a ( k × i )
… … … + b ( i × j ) + 2b ( j × j ) - b ( k × j )
… … … + c ( i × k ) + 2c ( j × k ) - c ( k × k )
A × B = 0 - 2a k - a j
… … … + b k + 0 + b i
… … … - c j + 2c i - 0
A × B = (b + 2c) i + (-a - c) j + (b - 2a) k
So we have
3 i - j + 5 k = (b + 2c) i + (c - a) j + (b - 2a) k
which gives us the system of equations,
{ b + 2c = 3
{ -a - c = -1
{ -2a + b = 5
Solve for a, b, and c.
• Eliminate c from the first two equations:
(b + 2c) + 2 (-a - c) = 3 + 2 (-1)
-2a + b = 1
But -2a + b = 5, and 5 ≠ 1, so there is no such vector B that satisfies the cross product!
5.40×10^21 electrons flow through another appliance in 3.0minutes.
How much charge goes through the appliance?
Identify trends in physical properties based on intermolecular forces
The Boiling point,melting point, surface tension and viscousity will increase while the Vapor pressure will decrease.
What are intermolecular forces?Intermolecular forces are the forces that bind two molecules together. Physical properties are affected by the strength of intermolecular forces
An increase in the strength of intermolecular forces increases will lead to an increase in force applied to break the barriers posed by the strength of the molecules.
This increased intermolecular strength will cause a rise in boiling point,melting point, viscousity and surface tension.
The Vapor pressure reduces with increasing intermolecular strength. Vapor pressure is the amount of vapor that is equilibrium with its own liquid or solid. Hence,with increasing intermolecular strength the amount of vapor that is in equilibrium with its own liquid will reduce.
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You're driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. You reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration of your car is 10 \mathrm { m } / \mathrm { s } ^ { 2 }10m/s 2 . a. How much distance is between you and the deer when you come to a stop
Answer:
Explanation:
Discount the time here; it's not important. It doesn't tell you how long it takes the car to stop, it only refers to reaction time, which means nothing in the scheme of things.
The useful info is as follows:
initial velocity = 20 m/s
final velocity = 0 m/s
a = -10 m/s/s
and we are looking for the displacement. Use the following equation:
\(v^2=v_0^2+2a\)Δx
where v is the final velocity, v₀ is the initial velocity, a is the deceleration (since it's negative), and Δx is displacement. Filling in:
\(0^2=(20)^2+2(-10)\)Δx and
0 = 400 - 20Δx and
-400 = -20Δx so
Δ = 20 meters
A frictionless piston-cylinder device as shown in Figure Q4 contains 7.5 liters of saturated liquid water at 275kPa. An electric resistance is installed in it and is being turned on until 3050 kJ of energy is transferred to the water. Assume the piston-cylinder device is well insulated, determine i) the mass of water, kg, ii) the final enthalpy of water, k J/kg, iii) the final state and the quality (x) of water, iv) the change in entropy of water, kJ/kg, and v) whether the process is reversible, irreversible, or impossible. Sketch the process on P−v diagram with respect to the saturation lines.
A frictionless piston-cylinder device contains 7.5 liters of saturated liquid water at 275 kPa. An electric resistance is turned on until 3050 kJ of energy is transferred to the water.
i) The mass of water can be determined by using the specific volume of saturated liquid water at the given pressure and volume. By using the specific volume data from the steam tables, the mass of water is calculated to be 6.66 kg.
ii) To find the final enthalpy of water, we need to consider the energy added to the water. The change in enthalpy can be calculated using the energy equation Q = m(h2 - h1), where Q is the energy transferred, m is the mass of water, and h1 and h2 are the initial and final enthalpies, respectively. Rearranging the equation, we find that the final enthalpy of water is 454.55 kJ/kg.
iii) The final state and the quality (x) of water can be determined by using the final enthalpy value. The final enthalpy falls within the region of superheated vapor, indicating that the water has completely evaporated. Therefore, the final state is a superheated vapor and the quality is 1 (x = 1).
iv) The change in entropy of water can be obtained by using the entropy equation ΔS = m(s2 - s1), where ΔS is the change in entropy, m is the mass of water, and s1 and s2 are the initial and final entropies, respectively. The change in entropy is found to be 10.13 kJ/kg.
v) The process described is irreversible because the water started as a saturated liquid and ended up as a superheated vapor, indicating that irreversibilities such as heat transfer across a finite temperature difference and friction have occurred. Therefore, the process is irreversible.
On a P-v diagram, the process can be represented as a vertical line from the initial saturated liquid state to the final superheated vapor state, crossing the saturation lines.
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What is the net force in the following diagram?
Explain the law of conservation of mass. How is energy converted?
The law of conservation of mass states that the mass in an isolated system can neither be created nor be destroyed but can be transformed from one form to another.
How is energy converted?In the conversion of any form of energy, it obeys the law of conservation. That is to say that energy is not lost but can be converted from one form to another.
A form of energy can transform to another form when there is a change in its state.
For example, light energy in bulbs is being converted to heat energy with the bulb is lit.
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A jewelry thief needs to jump across a 3-meter-wide alleyway as she makes her escape. If she has a horizontal velocity of 6 m/s, how long will it take her to land on the other side? A jewelry thief needs to jump across a 3-meter-wide alleyway as she makes her escape. If she has a horizontal velocity of 6 m/s, how long will it take her to land on the other side? 0.6 s 0.5 s 1.1 s 1.2 s
The time it will take her to land on the other side is 0.5 seconds.
What is the hypotenuse's length in the triangle below that measures 30 60 90?In a triangle with three angles of 30°, 60°, and 90°, the hypotenuse is twice as long as the shorter leg and three times as long as the latter. To understand why this is the case, consider that the triangle is a right triangle given these numbers according to the Converse of the Pythagorean Theorem. The lengths of the three sides in a triangle of this kind are referred to as a Pythagorean triple.
distance = velocity x time
In this case, the distance is 3 meters and the velocity is 6 m/s, so:
3 = 6 x time
Solving for time, we get:
time = 3/6 = 0.5 seconds
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Calculate the gravitational attraction between 2 bricks with their centers of mass 4 m apart if each has a mass of 80 kg. Explain why the bricks do not move toward each other
The gravitational force between the two bricks is approximately 1.33686 × 10⁻⁷ N (Newton). The bricks do not move toward each other significantly because the gravitational force between them is relatively weak compared to other forces at play.
To calculate the gravitational attraction between two objects, we 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 of mass.
In this case, the mass of each brick is 80 kg, and the distance between their centers of mass is 4 m. We can calculate the gravitational force using the formula:
F = G * (m1 * m2) / r²
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.67430 × 10⁻¹¹ m³ kg⁻¹ s⁻²
m1 and m2 are the masses of the bricks (80 kg in this case)
r is the distance between their centers of mass (4 m in this case)
Plugging in the values, we get:
F = (6.67430 × 10⁻¹¹ m³ kg⁻¹ s⁻² * (80 kg * 80 kg) / (4 m)²
Calculating this, we find that the gravitational force between the two bricks is approximately 1.33686 × 10⁻⁷ N (Newton).
Although there is a gravitational force between the two bricks, its magnitude is extremely small compared to other forces acting on the bricks, such as the electromagnetic forces between the atoms and molecules that make up the bricks, and the normal force exerted by the surface on which the bricks are placed.
In everyday situations, these other forces overpower the gravitational force, making it negligible. The gravitational force between two small objects like bricks is typically much weaker than the forces that hold the objects together or the forces present in the immediate environment.
Therefore, the bricks do not move toward each other significantly because the gravitational force between them is relatively weak compared to other forces at play.
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The Doppler technique can be used to estimate the semimajor axis of a planet's orbit by
A. measuring the time it takes for the star's line-of-sight velocity to cycle from peak to peak, and using Newton's version of Kepler's Third law.
B. measuring the amount by which the starlight is reduced when the planet transits.
C. measuring the speed at which the star orbits the mutual center-of-mass of the star and planet, and using Newton's theory of gravity.
D. measuring the asymmetries in the velocity curve.
The Doppler technique can be used to estimate the semimajor axis of a planet's orbit by measuring the speed at which the star orbits the mutual center-of-mass of the star and planet, and using Newton's theory of gravity.
The Doppler technique, also known as the radial velocity method, is a common method for detecting exoplanets by measuring the slight wobble of a star caused by the gravitational pull of an orbiting planet. This wobble induces shifts in the star's spectral lines, which can be detected as changes in the star's line-of-sight velocity. By observing these velocity changes, astronomers can determine the speed at which the star is moving toward or away from us. This velocity change is directly related to the mass and orbital properties of the planet, including the semimajor axis of its orbit. Newton's theory of gravity provides the necessary mathematical framework to relate the observed velocity changes to the orbital parameters of the planet. By analyzing the pattern of the star's line-of-sight velocity changes over time, astronomers can estimate the semimajor axis of the planet's orbit, which represents the average distance between the planet and its host star. This information is crucial for understanding the orbital dynamics and characteristics of exoplanetary systems.
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If you throw a 0.3kg ball straight up with an initial speed of 39m/s, how fast will it be moving when it’s 21m above the release point?
The question relies on conservation of energy
2 Energy equations:
Kinetic Energy = 1/2mv^2
Gravitational potential energy = mgh
Initial energy = final energy
1/2m(v0)^2 = mgh + 1/2m(vf)^2
Divide mass out to save time
1/2(v0)^2 = gh + 1/2(vf)^2
PLug in what we know:
v0 = 39 m/s
h = 21 meters
1/2(39)^2 = 9.8(21) + 1/2(vf)^2
1/2(39)^2 - 9.8(21) = 1/2(vf)^2
554.7 = 1/2(vf)^2
1109.4 = (vf)^2
vf = 33.3076 m/s
Please help !!!! Asap
Answer:
(a) electrical energy or chemical energy
(b) sound energy, potential energy, light energy.
(c) Work (J) = Force (N) * Distance (m)
= 80 * 15
= 1200 Joules.
When the Sun’s radiant energy falls on Earth’s oceans, it causes water to change state by evaporating. Which form of energy does water vapor have?
Answer:
water vapor is a type of gas
Explanation:
all gas are in air state of form
hope this helps
Answer:
chemical potential energy
Explanation:
When the sun's radiant energy falls on Earth's oceans, it causes water to change state by evaporating. The form of energy water vapor have is chemical potential energy. when heat energy of sun falls on water surface, its state change from liquid to gas. This gas rises above in the form of water vapor. Its a chemical change. If this vapor get condense/ cool, it will turn into liquid again. We can say that vapor has potential to transform into water again. Thus, the energy stored in water vapor is called chemical potential energy.
the earth’s tilt changes its position relative to the stars and constellations as the earth rotates and orbits.
That's correct. The Earth's tilt, known as axial tilt or obliquity, causes its position relative to the stars and constellations to change as the Earth rotates and orbits the Sun.
The Earth's axis of rotation is tilted at an angle of approximately 23.5 degrees with respect to its orbital plane. This tilt remains constant throughout the year as the Earth orbits the Sun. As a result, different parts of the Earth receive varying amounts of sunlight at different times of the year, leading to the changing of seasons.
Due to this tilt, as the Earth orbits the Sun, the position of the North and South Poles and the equator relative to the stars and constellations appears to shift. This phenomenon is known as precession. Over a period of approximately 26,000 years, the Earth's axis traces out a cone shape, causing the position of the celestial poles to change. This means that the North Star (Polaris) is not a fixed point but changes over time.
The motion of precession and the Earth's tilt contribute to the changing positions of the stars and constellations relative to an observer on Earth throughout the year.
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name two powers of the president
Answer:
The President can issue executive orders, which direct executive officers or clarify and further existing laws.
The President also has the power to extend pardons and clemencies for federal crimes.
Explanation: