The surface temperature of a star that emits twice the energy flux of the Sun would be 6900k.
What is energy?
Energy is the ability to do work. It can be found in a variety of forms, including thermal energy, kinetic energy, chemical energy, electrical energy, sound energy, and light energy. All of these forms of energy can be converted into other forms. Thermal energy is energy from heat, such as energy from a fire or from the sun.
Kinetic energy is the energy of movement, such as energy from a moving vehicle. Chemical energy is the energy stored in chemical bonds between atoms in a molecule. Electrical energy is energy from the movement of electrons, such as energy from a battery.
Given data:
Sun's temperature(Tsun) = 5800K
Energy flux of a star(Jstar) = 2J
Since,
Jstar/Jsun = T4sun/T4star
= 2 = (Tsun/Tstar)4
Tstar = T(2)[tex]^{1/4}[/tex]
= 5800 × 1.1897
= 6900k
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hurricanes are more destructive than tornados due to _______.
Hurricanes are more destructive than tornadoes due to the large area affected and the long attack duration.
A hurricane is a storm that forms over the ocean with winds up to 74 mph. The storm is accompanied by rain, lightning, and thunder and occurs within a few days to a month. Meanwhile, tornadoes only occur in the span of about a few seconds to an hour.
Wind speeds generated by a hurricane are 131 miles per hour or more, less than a tornado which has wind speeds of more than 207 miles per hour. But the Hurricane attack area is quite wide, which is about 300 miles. The center of the storm itself was 20 to 40 miles wide. Whereas a tornado strikes only about 500 feet and will recede at a distance of about 5 miles before finally stopping.
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When an object is placed farther from a convex mirror than the focal length, the image is:
A)smaller and real
B)larger and virtual
C)larger and real
D)smaller and inverted
E)smaller and virtual
When an object is placed farther from a convex mirror than the focal length, the image is smaller and virtual.
The image produced by a convex mirror is always virtual, and located behind the mirror. When the object is far away from the mirror the image is upright and located at the focal point. As the object approaches the mirror the image also approaches the mirror and grows until its height equals that of the object. A convex mirror always creates a virtual image which is diminished. So, magnification produced by convex mirror is always less than one. So, When an object is placed farther from a convex mirror than the focal length, the image is smaller and virtual.
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14. the source of a sound wave has a power of 1.00 mw. if it is a point source, (a) what is the intensity 3.00 m away and (b) what is the sound level in decibels at that distance? (c) another identical source is located the same distance away (you are equidistant from both sources). what will the sound level be at your location when both sources play?
The source of a sound wave has a power of 1.00 mw. if it is a point source, below calculations are based on an ideal point source, which is a theoretical concept that describes a point in space from in an isotropic way(uniform) .
A) The intensity of a sound wave at a distance r from a point source is given by the formula I = P / (4πr^2), where P is the power of the source and r is the distance from the source. So, at a distance of 3.00 m from the source, the intensity would be I = 1.00 mW / (4π(3.00 m)^2) = 0.079 mW/m^2.
B) The sound level in decibels (dB) at a distance of 3.00 m from the source can be calculated using the formula:
L = 10 log(I / I_o)
So, L = 10 log(0.079mW/m^2 / 10^-12 W/m^2) = 70.5 dB
C) when two identical sound sources are located equidistant from a listener, the sound level increases by 3 dB. So, the sound level at your location when both sources play would be 70.5 dB + 3 dB = 73.5 dB
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How will adding additional nickel–paper towel–penny layers affect the voltage generated by the voltaic pile? Will the change in voltage be constant, or will voltage changes vary as the number of layers increases?
(urgent)
Adding additional nickel-paper towel-penny layers to a voltaic pile will increase the voltage generated by the pile.
What is voltage?The difference in electric potential between two points is known as voltage, also referred to as electric pressure, electric tension, or potential difference. It relates to the amount of work required to move a test charge between two points in a static electric field.
Simply put, voltage also known as electromotive forceis the amount of energy in one charge. Voltage, then, is the variation in electric potential between two points.
The change in voltage will not be constant, but rather will increase as the number of layers increases. This is due to the fact that each additional layer increases the total surface area of the electrodes and the number of electron transfer reactions that can occur, leading to a greater overall voltage generated by the pile.
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an airplane pilot is moving with a velocity \displaystyle v and drops a package. in the absence of air resistance where is the package relative to the airplane at the moment it hits the ground?
When it was dropped the cargo was traveling at the same speed as the aircraft according to Newton's First Law force is acting on it a moving item will tend to continue and velocity moving in a straight path its speed
When a box is dropped from an airplane where will velocity its land?As seen in the animation up above the package follows a parabolic path and always stays below the plane as the package falls, it encounters a vertical acceleration that alters its vertical velocity.
Where on the plane will the velocity aid cargo land?The object will immediately touch down underneath the aircraft The falling object is constantly moving horizontally therefore the package will always be right underneath the plane even though the package is falling owing to gravity its horizontal motions is unaffected.
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A 1710 kg truck traveling at 10.1 m/s west smashes into a car moving at 15.5 m/s west. after the collision, the truck is traveling at 3.55 m/s west and the car is traveling at 22.6 m/s west. what is the mass of the car?
The mass of the car is 1577.5 kg, when the mass of truck is 1710 kg.
What is mass?To determine an object's mass on Earth, we weigh it. Things will weigh more as there is more matter present. Though not always, the relationship between something's mass and size is frequently present. Even if a balloon is inflated to be larger than your head, it will still contain less matter and have a lower mass.
Weight is distinct from mass in that it is determined by the gravitational pull on an object. On Earth, gravity pulls two different objects in the same direction, so the one with more mass will weigh more if we compare them side by side. However, since gravity has a very weak pull in space, nothing can have much weight.
Law of conservation of momentum:
m₁u₁ + m₂u₂ =m₁v₁ + m₂v₂
Here,
m₁ = 1710 kg
m₂ = mass of car
u₁ = 10.1 m/s
u₂ = 15.5 m/s
v₁ = 3.55 m/s
v₂ = 22.6 m/s
Putting the values in formula
1710·10.1 + m₂·15.5 = 1710·3.55 + m₂·22.6
17271 + m₂·15.5 = 6070.5 + m₂·22.6
17271 - 6070.5 = m₂·22.6 - m₂·15.5
11200.5 = m₂(22.6 - 15.5)
m₂(7.1) = 11200.5
m₂ = 11200.5/7.1
m₂ = 1577.5
Thus, The mass of the car is 1577.5 kg, when the mass of truck is 1710 kg.
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what would happen to a roller coaster if the weight of the people increased (in terms of kinetic energy, potential energy, friction)
Answer:
I hope my answer is good!
Kinetic energy: The increase in weight of the people would result in an increase in the kinetic energy of the roller coaster. As the roller coaster moves through the track, it gains kinetic energy as it goes downhill, and this energy would be greater if the people were heavier.
Potential energy: The increase in weight of the people would result in an increase in the potential energy of the roller coaster. As the roller coaster climbs uphill, it gains potential energy, and this energy would be greater if the people were heavier.
Friction: The increase in weight of the people would result in an increase in the friction between the roller coaster and the track. More weight would create more wear and tear on the track and would make the roller coaster ride less smooth.
an object has an initial velocity of 2.0 m/s and moves with a constant acceleration of 3.0 m/s2. what is the velocity of the object after 4 seconds?
an object with an initial velocity of 2.0 m/s and a constant acceleration of 3.0 m/s 2. The velocity of the object after 4 seconds is 14 m/sec.
Velocity after time t
Vf = Vi + at
Vf = 2 +(3×4) =14 m/sec
So velocity after time t= 4 sec
Vf = 14 m/sec
Velocity is a measure of how fast and in which direction a point is moving. A point always moves in a direction that is tangent to its path; for example, a circular path's direction at any instant is perpendicular to a line connecting the point to the circle's centre (a radius). The magnitude of the velocity (or speed) is the rate at which the point moves along its path in time.
If a point moves a certain distance along its path in a given time interval, its average speed is equal to the distance moved divided by the time taken. A train that travels 100 kilometres in two hours, for example, has an average speed of 50 kilometres per hour.
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a solid sphere is placed on a frictionless floor in a very long corridor and is given a quick push so that it begins to slide, without rotating, along the corridor. how would the angular speed of the sphere be changing if the floor were not frictionless?
If there was friction between both the sphere and indeed the floor, the angular speed of the sphere would alter and rise until the sliding stopped. The appropriate choice, then, is C.
What is friction, and what part does it play in this situation?Friction occurs when something slides over or rolls above another solid object. Despite the fact that friction force has its benefits, such as providing the traction necessary to move while slipping, it also poses a significant amount of impediment to motion.
How is angular speed determined?The force of attraction, also known as adhesive, between the contact surfaces of the areas of skin, which are constantly microscopically uneven, appear to be the main contributors to friction between alloys. As a result of the rough surface's flaws
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Two cars a and b of masses 1600kg and 1200kg are moving with 5m/s and 3m/s respectively.if they colide and after colliding the velocity of car b is 4m/s.calculate with what velocity car a moves after collision
The velocity of car a is 4.25m/s.
This is the situation of a direct head-on collision. so there is no loss of kinetic energy. Hence these types of situations fall under the elastic collision. Momentum remains conserved in an elastic collision.
According to the Law of conservation of momentum,
m1*u1 + m2*u2=m1*v1+m2*v2
Here u1=5m/s ,u2=3m/s, m1=1600kg, m2=1200kg,v2=4m/s
1600*5+1200*3=1600*v1+1200*4
v1=4.25m/s
The velocity of car a is 4.25m/s.
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a hockey stick hitting a 0.5 kg puck is in contact with the puck for a time of 0.05 s. the puck travels in a straight line as it approaches and then leaves the hockey stick. if the puck arrives at the stick with a speed of 6.4 m/s and leaves with a speed of 3.6 m/s, what is the magnitude of the change in momentum of the puck?
The magnitude of the change in momentum of the puck is 5 kg m/s.
What does momentum actually mean?The concept of momentum is "mass in motion." Because every item has mass, when it is moving, it has to have momentum since its mass has been in motion. The amount of motion and the speed of a motion are the two factors that influence how much momentum an item generates.
the solution is -
Let us assume that the direction away from hockey stick be +x axis(that is +î) and towards hockey stick be -ve x-axis(that is -î).
The puck's initial speed is then Vi = -6.4 î m/s ( that is towards hockey stick)
Final velocity of the puck, Vf = + 3.6 î m/s ( that is away from the hockey stick)
puck's mass , m = 0.5 kg
Time of contact of puck with hockey stick = Time required in change in momentum of puck to take place,∆T= 0.05 s
Initial momentum, Pi = m × Vi = 0.5 × -6.4 î kg m/s =-3.2 î kg m/s
Final momentum, Pf = m × Vf = 0.5 × + 3.6 î kg m/s= +1.8 î kg m/s
Change in momentum = ∆P= Pf - Pi =+1.8 î -(-3.2 î) kg m/s = + 5 î kg m/s
Therefore, the magnitude of change in momentum = 5 kg m/s.
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wo systems are in oscillation: a simple pendulum swinging back and forth through a very small angle and a block oscillating on a spring. The block-spring system takes twice as much time as the pendulum to complete one oscillation. Which of the following changes could make the two systems oscillate with the same period
Decreasing the mass of both the block and the pendulum bob could make the two systems oscillate with the same period. Thus, the correct option C.
What is pendulum bob?The weight at the end of a pendulum, known as a "bob," is most frequently but not always used in pendulum clocks. Despite the fact that a pendulum can theoretically take on any shape and consist of any rigid object that swings on a pivot, clock pendulums are typically constructed with a weight or bob fastened to the bottom end of a rod and a pivot at the top to allow it to swing.
The benefit of this design is that the centre of mass is situated farthest from the pivot, near the actual end of the pendulum. The length of the pendulum needed for a specific period is reduced, and the moment of inertia is maximised. In addition to reducing the air resistance of the pendulum, shorter pendulums enable smaller clock cases.
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Full question:
Which of the following changes could make the two systems oscillate with the same period?
a) increase the mass of the pendulum bob
b) increasing the angle through which the pendulum swings by a small amount
c) decreasing the mass of both the block and the pendulum bob
d) shortening the pendulum
Identify the following as electromagnetic (E) or mechanical (M) waves.sound waveswater wavesradio wavesultraviolet waveswaves in a wheat field
The electromagnetic waves are radio waves and ultraviolet, whereas the mechanical waves are sound waves, waves in a wheat field, water waves, and electromagnetic waves.
A disturbance is transmitted from its source, or one location, to another by means of a wave.
Depending on the need for a physical medium, waves can be classed as electromagnetic or mechanical waves.
Sound waves, water waves, and other mechanical waves are those that must travel through a material medium in order to be transmitted. These waves are transmitted via the medium by the medium's particle's vibration.
The waves that may be transmitted without the use of a physical medium are known as electromagnetic waves. They comprise all electromagnetic waves, including radio waves, microwaves, and others.
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Between which adjacent pairs of positions is the change in kinetic energy of the ball the greatest?
The greatest change in kinetic energy of the ball will be between Position 1 and Position 2.
What is kinetic energy?Kinetic energy is the energy an object has due to its motion. It is the energy an object has as a result of its mass and velocity. Kinetic energy is measured in units of joules (J). Kinetic energy is one of the two main forms of energy, the other being potential energy. Kinetic energy can be converted into other forms of energy such as thermal energy and potential energy.
Kinetic energy is transferable and can be used to do work, such as in a car engine. Kinetic energy can also be converted into heat, sound, and light. Kinetic energy increases as the velocity of an object increases. As an object’s velocity increases, its kinetic energy also increases. The kinetic energy of an object is also affected by its mass. The greater the mass of an object, the greater its kinetic energy.
Gravitational potential energy
W = mgh
The height and gravity in Position 1 is greatest
So from 1 to 2 the outcome will be greatest too
Thus, The greatest change in kinetic energy of the ball will be between Position 1 and Position 2.
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Complete Question:
A ball is suspended by a lightweight string, as shown in the figure above. The ball is displaced to position 1 and released. The four labeled positions are evenly spaced along the arc of the ball’s motion. Between which adjacent pairs of positions is the change in potential energy of the ball greatest?
A. Position 1 and Position 2
B. Position 2 and Position 3
C. Position 3 and Position 4
D. The change is the same for all adjacent pairs
Concrete sidewalks are always laid in sections, with gaps between each section. For example, the drawing shows three identical 2.4-m sections, the outer two of which are against immovable walls. The two identical gaps between the sections are provided so that thermal expansion will not create the thermal stress that could lead to cracks. What is the minimum gap width necessary to account for an increase in temperature of 41° C?
Three sections will lengthen the total by 3 mm; hence, the total length of the two gaps should be equal displacement to or larger than 3 mm, making each gap 1.5 mm or greater.
What does physics mean by displacement?
The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.
In physics, how do you express displacement?
Displacement in physics is denoted by the symbol s. The Greek word for "change in" is "delta," which is shaped like a triangle. Spatial position is indicated by the letter "s." It stands for "so"
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An object at 20∘C absorbs 25.0 J of heat. What is the change in entropy ΔS of the object? Express your answer numerically in joules per kelvin.
An object at 500 K dissipates 25.0 kJ of heat into the surroundings. What is the change in entropy ΔS of the object? Assume that the temperature of the object does not change appreciably in the process. Express your answer numerically in joules per kelvin.
An object at 400 K absorbs 25.0 kJ of heat from the surroundings. What is the change in entropy ΔS of the object? Assume that the temperature of the object does not change appreciably in the process. Express your answer numerically in joules per kelvin.
Two objects form a closed system. One object, which is at 400 K, absorbs 25.0 kJ of heat from the other object,which is at 500 K. What is the net change in entropy ΔSsys of the system? Assume that the temperatures of the objects do not change appreciably in the process. Express your answer numerically in joules per kelvin.
The change in entropy ΔS of the object when the object is 20∘C absorbs 25.0 J of heat is 85 J/K. The change in entropy ΔS of the object at 500 K dissipates 25.0 kJ of heat into the surroundings is - 50 J/K. The change in entropy ΔS of the object at 400 K absorbs 25.0 kJ of heat from the surroundings is 62.5 J/K. The net change in entropy ΔSsys of the system which is at 400 K, absorbs 25.0 kJ of heat from the other object, which is at 500 K is 12.5 J/K.
Let's make use of the entropy equation: ΔS = Q/T
Given:
(a) T = 20°C = 20 +273 = 293K
Q = 25.0 kJ
Entropy change will be:
ΔS = 25000/293 = 85 J/K.
(b) Given:
T = 500K
Q = -25.0 kJ
Entropy change will be:
ΔS = -25000/500
= - 50 J/K
Given:
T = 400K
Q = 25.0 kJ
Entropy change will be:
ΔS = 25000/400
= 62.5 J/K
Given:
T1 = 400K
T2 = 500K
Q = 25.0 kJ
The net entropy change will be
ΔS = (25000/400) + (-25000/500)
= 12.5 J/K
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the ___ begins to form in the centre of the nebula
Answer: Protostar.
Explanation: What is nebula?
A nebula is a giant cloud of dust and gas in space. Some nebulae (more than one nebula) come from gas and dust ejected by the explosion of a dying star, such as a supernova. Other nebulae are regions where new stars are beginning to form
A protostar forms in the center of the nebula. About 4.5 billion years ago, chunks of rock and ice accumulated more material until they grew into planets and moons.
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Two massive, positively charged particles are initially held a fixed distance apart. When they are moved farther apart, the magnitude of their mutual gravitational force changes by a factor of n. Which of the following indicates the factor by which the magnitude of their mutual electrostatic force changes
The magnitude of their mutual electrostatic force changes by factor n. The square of the distance is negatively correlated with both forces, as can be observed. In both instances, the factor is therefore the same.
Where may one find electrostatic force?Two charges positioned apart are subject to the electrostatic force. The size of each charge and the separation between them determine how much electrostatic force there will be. When two charges of the same type are brought together, whether positive or negative, they repel one another.
How does electrostatic force develop?Positive and negative charges can affect one another, as we are aware. The magnitude of the electrostatic force, however, serves as a gauge for this interaction's strength. The magnitude of the electric charges as well as their separation from one another are what generate this force.
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how does energy makes its way from the nuclear core of the sun to its atmosphere? choose the correct order for each layer.
That power increases. The sun's core can reach temperatures of 27 million degrees Fahrenheit. The convective zone, which is a sizable region, is where the energy moves outward.
What are wave amplitude and energy transport?
Transport of Energy and Wave Amplitude As was already explained, a wave is a phenomena that moves energy through a medium without moving any physical objects. When someone grips the first coil of a slinky and moves it back and forth, a pulse or wave is created.
What is the process of energy transfer in nature?
In nature, such just like in a coastal habitat, contains the details and transformations take place continuously. The sun's thermal radiation heats both the ground and the ocean.
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Predict the properties of substances required to answer each of the following questions. In each case, explain your answer by relating the intermolecular forces of the substances to their properties.
The non-polar properties of the alkanes propane (C3H8) and octane (C8H18) are present.
What is an alkene vs alkane?Alkanes are saturated hydrocarbons because they only have one bond between the carbons. So least double or bond exist between the carbon atoms of such an alkene. One or maybe more triple bonds exist between the carbon atoms in alkynes. Unsaturated hydrocarbons are the name given to alkenes and alkynes.
Van der Waals forces are the kind of intermolecular forces found in propane and octane.
The surface area of the molecules likewise grows as molecular weight (the length of the carbon chain) increases. As a result, both the boiling point and the strength of the Van der Waals force grow.
Therefore, when separating a mix of gas and octane from an oil refinery, propane will condense first at
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do-dodonpa at fuji-q in japan launches its riders from rest to 50 m/s in 80 meters. if the train has a mass of 4500 kg, what is the average force exerted
The average force exerted on the train is approximately 4,275,000 N.
How is force calculated?The force is calculated by using the formula force = mass x acceleration. In this case, the mass of the train is known (4500 kg) and the acceleration can be calculated by using the final velocity (50 m/s) and distance traveled (80 meters).
To calculate the average force exerted on the train, we need to use the equation:
force = mass x acceleration
The acceleration of the train can be calculated by using the final velocity and distance traveled, which are 50 m/s and 80 meters respectively.
acceleration = (final velocity - initial velocity) / time
time = distance / final velocity
So, we can substitute the values in the equation and calculate the average force exerted on the train.
force = 4500 kg x (50 m/s - 0 m/s) / (80 m / 50 m/s)
It is important to note that the above calculations are based on assumptions that the train had no initial velocity and that there was no other forces acting on the train, and that the given distance is the distance of the ride.
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The fundamental frequency of a pipe that is open at both ends is 584 Hz .
How long is this pipe?
If one end is now closed, find the wavelength of the newfundamental.
If one end is now closed, find the frequency of the newfundamental.
A pipe that is open on both ends has a fundamental frequency of 584 Hz. There are 252451 meters in the Pipe.
What is the purpose of frequency?The frequency of oscillatory and granular phenomenon, such as mechanical energy, speech recordings (sound), radiofrequency, and light, is a major variable in engineering and sciences.
What is the sound frequency?The proportion of times every second that even a sound level wave repeats itself is known as frequency, often known as pitch. A bullfrog cry is significantly lower in speed than a whistle, while a cricket was so much lower in frequency than a drumbeat.
λ=c/ν
where λ = frequency,
λ= c/ν
= 2l
l = 252451m
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A 12-kg projectile is launched vertically upward with an initial speed of 35 m/s from a football field in Minneapolis, MN. (a) Calculate the magnitude and direction of the Coriolis force (see Multiple Choice question 8 and Section 5-6) on the projectile shortly after the projectile is launched. (b) What is the approximate direction of the Coriolis force on the projectile while the projectile is heading back toward the Earth? (c) Will the projectile return to the original launch point? If not, in which direction will it land relative to the launch point?
The projectile will not return to the original launch point. Instead, it will land to the right of the launch point due to the Coriolis force acting on it during its descent.
What is projectile?Projectile is an object that is launched or thrown and moves through the air under the action of gravity and/or its own momentum. Examples of projectiles include bullets, missiles, rocks, and arrows. In most cases, the trajectory of a projectile is affected by air resistance. If the air resistance is weak, the projectile will usually follow a parabolic path.
The magnitude of the Coriolis force on the projectile shortly after it is launched is equal to two times the mass (12 kg) times the speed (35 m/s) times the sine of the latitude of Minneapolis (44.98 degrees) times the Coriolis parameter (1.458 x 10^-4 s^-1). This gives a magnitude of 0.0517 N. The direction of the Coriolis force on the projectile will be to the right of the projectile's direction of motion.
(b) As the projectile is heading back toward the Earth, the Coriolis force will be to the left of the projectile's direction of motion.
(c) The projectile will not return to the original launch point. Instead, it will land to the right of the launch point due to the Coriolis force acting on it during its descent.
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The magnitude of the Coriolis force on the projectile shortly after it is launched is 0.035 N.
What do you mean by projectile motion?Projectile motion is the motion of an object that is projected into the air and then is subject to only the force of gravity. The motion of a projectile is described by a parabolic path and can be analyzed using the equations of motion, taking into account the initial velocity, angle, and time of flight. The horizontal and vertical components of the velocity can be found using trigonometry, and the distance traveled, maximum height, and time of flight can be calculated using kinematic equations. In many cases, it is also useful to analyze the motion of a projectile using a vector approach, treating the velocity and acceleration as vectors.
(a) The Coriolis force is a force that acts on objects moving in a rotating reference frame, such as the Earth. It is caused by the rotation of the Earth and is directed perpendicular to the direction of motion of the object and to the axis of rotation of the Earth. The magnitude of the Coriolis force (Fc) is given by the formula:
Fc = 2 * m * v * w
where m is the mass of the object, v is the velocity of the object, and w is the angular velocity of the Earth (7.27 x 10^-5 rad/s).
In this case, the mass of the projectile is 12 kg, the velocity of the projectile is 35 m/s, and the angular velocity of the Earth is 7.27 x 10^-5 rad/s. So the magnitude of the Coriolis force on the projectile shortly after it is launched is:
Fc = 2 * 12 kg * 35 m/s * 7.27 x 10^-5 rad/s = 0.035 N
The direction of the Coriolis force is perpendicular to the direction of motion of the projectile and to the axis of rotation of the Earth. If the projectile is launched vertically upward, the Coriolis force will be directed to the right of the projectile's motion, due to the Earth's rotation direction.
(b) As the projectile is heading back towards the Earth, the direction of the Coriolis force will be opposite of when it was launched, to the left of the projectile's motion.
(c) The projectile will not return to the original launch point due to the influence of the Coriolis force. The influence of the Coriolis force causes the projectile to deviate from its original path, and it will land to the right of the launch point, relative to the launch point direction.
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How much gravitational potential energy does a 165 kg roller coaster car have when it is at the top of a hill 42 meters above the ground
Answer: a 165 kg roller coaster car has 691,600 J of gravitational potential energy when it is at the top of a hill 42 meters above the ground.
Explanation:
Gravitational potential energy (GPE) is the energy an object possesses due to its position in a gravitational field. The formula for GPE is GPE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above a reference point.
Given that the mass of the roller coaster car is 165 kg and it's at the top of a hill 42 meters above the ground, we can substitute these values into the formula:
GPE = 165 kg * 9.8 m/s^2 * 42 m
GPE = 691,600 J (joules)
So a 165 kg roller coaster car has 691,600 J of gravitational potential energy when it is at the top of a hill 42 meters above the ground.
when it is closest to earth, the moon is 363,104 km away. its farthest distance from earth is 405,696 km. this variation in distance is responsible for annular eclipses. how many times larger does the moon appear in our sky when it is closest to earth as compared to when it is farthest?
The 1.12 times greater moon appear in our sky when it is closest to earth as compared to when it is farthest.
How far is the Moon, in millions of miles?The Moon is typically 384,400 kilometers (238,855 miles) distant. Thus, the Earth and the Moon could fit 30 planets the size of Earth. With each passing year, the Moon is steadily displacing Earth by around an inch.
One light-year equals how many years?The distance that light travels in a light-year is one year. At 186,000 miles (300,000 kilometers) per second and 5.88 trillion miles (9.46 trillion kilometers) per year, light travels through interstellar space.
One light-year journey is possible?This time frame presents a challenge because it makes space exploration very slow. Even if we boarded the 5 miles per second space shuttle Discovery, it would still take us nearly 37,200 years to travel one light-year.
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calculate the force needed to bring a 950-kg car to rest from a speed of 90.0 km/h in a distance of 120 m (a fairly typical distance for a non-panic stop).
Force 2.47×103 N is required to stop a 950 kg automobile traveling at 90.0 km/h over a distance of 120 m.
What is the easiest way to define a force?An external force is a substance that has the power to alter a body's resting or motion state. It has a direction and a magnitude. The application of force is the location where it occurs, and the force's direction is the direction in which it occurs.
What is a force unit?The newton, represented by the letter N,
is the SI unit of force.
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Kinetic Theory to explain Convection
Convection is a type of heat transfer that occurs when a fluid is heated and the resulting buoyancy forces cause the heated fluid to move.
What is buoyancy forces?Buoyancy force is the upward force exerted on an object immersed in a liquid or gas, due to the pressure of the liquid or gas pushing up on it. It is also known as the Archimedes principle, named after the famous Greek mathematician and inventor, Archimedes of Syracuse.
In order to explain convection, we can use kinetic theory, which states that all matter is composed of particles that are in constant motion. When the fluid is heated, the particles that make up the fluid gain energy and move faster. This faster movement causes the particles to move further apart, resulting in an increase in pressure. This pressure difference causes the hotter, less dense particles to move upward, while the cooler, denser particles move downward. This movement of fluid particles is convection.
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q1. let us assume that, s small balls, each of mass m hit a surface elastically each second with a velocity u m/s. calculate the force witnessed by the surface.
The force witnessed by the surface would be force = number of balls × mass of each ball × velocity of each ball
The force witnessed by the surface when small balls hit it elastically can be calculated by using the principle of momentum transfer. The force is equal to the rate at which momentum is transferred to the surface. Since the balls are hitting the surface elastically, this means that the balls will rebound with the same velocity that they hit the surface.
Therefore, the force witnessed by the surface can be calculated by multiplying the number of small balls, mass of each small ball and the velocity of each small ball, by the equation:
force = number of balls × mass of each ball × velocity of each ball.
This equation assumes that all balls are identical and hit the surface at the same velocity.
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Consider the following question: A car moving at 10 m/s crashes into a tree and stops in 0.26 s. Calculate the force the seatbelt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg. Would the answer to this question be different if the car with the 70-kg passenger had collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed
The acceleration in this case will be (10-0)/0.52 = 19.23 m/s2 and the force exerted by the seatbelt will be 70 kg x 19.23 m/s2 = 1355.1 N.
What is accelaration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both direction and magnitude. It is typically measured in meters per second squared (m/s2). Acceleration can result from an increase in speed, a change in direction, or a combination of both. It is one of the fundamental concepts of physics and is used to describe the motion of objects in various conditions.
Assuming that the car and the passenger are in a perfectly inelastic collision, the force the seatbelt exerts on the passenger to bring him to a halt is calculated using the equation Force = Mass x Acceleration, where acceleration is calculated using the equation Acceleration = Change in Velocity/Time. In this case, the acceleration is (10-0)/0.26 = 38.46 m/s2, so the force exerted by the seatbelt is 70 kg x 38.46 m/s2 = 2711.2 N.
The answer to this question will be different if the car with the 70-kg passenger collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed. This is because the two cars will collide and then move away from each other at the same speed, and the passenger will experience a longer time to come to a halt. The time taken to come to a halt in this case will be twice the time taken for the car to come to a halt, i.e. 0.26 x 2 = 0.52 s. Therefore, the acceleration in this case will be (10-0)/0.52 = 19.23 m/s2 and the force exerted by the seatbelt will be 70 kg x 19.23 m/s2 = 1355.1 N.
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The force the seatbelt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg is -2640 N.
Describe mass?Mass is a scalar quantity that describes the amount of matter in an object. It is typically measured in units of grams (g) or kilograms (kg). The mass of an object does not change with its location or the presence of a gravitational field, unlike weight, which does change.
The force the seatbelt exerts on a passenger in the car to bring him to a halt can be calculated using the formula:
F = m ₓ a
where F is the force, m is the mass of the passenger, and a is the acceleration of the passenger during the collision. The acceleration of the passenger can be calculated using the formula:
a = Δv / t
where Δv is the change in velocity of the passenger and t is the time it takes for the passenger to come to a stop.
Given that the car is moving at 10 m/s and stops in 0.26 s, the change in velocity of the passenger is -10 m/s (because the velocity changes from positive to zero) and the time it takes for the passenger to come to a stop is 0.26 s.
So:
a = [tex]\frac{-10 m/s }{0.26 s}[/tex] = -38.46 m/s²
Substituting the mass of the passenger which is 70 kg and the acceleration, we get:
F = 70 kg ₓ -38.46 m/s² = -2640 N
The force exerted on the passenger would be -2640 N, which is directed towards the opposite direction of the car's motion, this force is the force exerted by the seatbelt on the passenger's chest.
If the car with the 70-kg passenger had collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed, the force the seatbelt exerts on the passenger would be the same. The force exerted on the passenger is dependent on the mass of the passenger and the acceleration experienced during the collision, not on the mass or velocity of the object the car collided with.
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a meter stick is found to balance at the 49.7-cm mark when placed on a fulcrum. when a 52.0-gram mass is attached at the 12.5-cm mark, the fulcrum must be moved to the 39.2-cm mark for balance. what is the mass of the meter stick?
The mass of the meter stick is 543.6g
What is mass?
Mass is the measure of an object's resistance to acceleration. It is a fundamental property of matter and is usually expressed in kilograms (kg). Mass is related to weight, which is the measure of an object's gravitational force.
Mass of meter stick = Mass of 52.0 g mass × (Distance moved by fulcrum) / (Distance of 52.0 g mass from fulcrum)
Mass of meter stick = (52.0 g × (39.2 cm - 49.7 cm)) / (12.5 cm - 49.7 cm)
Mass of meter stick = (52.0 g × (-10.5 cm)) / (-37.2 cm)
Mass of meter stick = 543.6 g
hence, The mass of the meter stick is 543.6g
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