According to Newton's law of gravitation, the new gravitational force will be F/9
Newton's Law of GravitationIt states that, the force of attraction between two masses is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.
When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. That is,
F = GMm/d²
Where
M = mass of the earthm = mass of the satelliteG = universal gravitational constantThe magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d can be expresses as follow
f = GMm/(3d)²
f = GMm/9d²
f = GMm/d² × 1/9
Since GMm/d² = F
f = F × 1/9
f = F/9
Therefore, the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d is F/9 Newton
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Suppose you have a set of spheres of various sizes. The formula below shows a possible relationship between the surface area (S) and volume for the spheres (V).
The formula that shows the relationship between the surface area (S) and volume (V) for spheres is S = 4πr² and V = (4/3)πr³ where r is the radius of the sphere.
This formula shows that the surface area of a sphere is directly proportional to the radius squared, and the volume is directly proportional to the radius cubed. This means that as the radius of a sphere increases, the surface area and volume will increase at a much faster rate. For example, a sphere with a radius of 2 will have four times the surface area and eight times the volume of a sphere with a radius of 1.
The question is incomplete, hence the answer is general.
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What factors interact with one another to keep a satellite in orbit. Describe two physics concepts and the effects each has on satellite orbit.
Two physics concepts that interact with one another to keep a satellite in orbit are the gravitational force and the centrifugal force.
The apparent outward force that a rotating mass experiences is known as centrifugal force. Imagine a ball being whirled around on a string or the outward motion you experience when driving around a curve. Since the system is not rotating in an inertial frame, there is no outward acceleration. The ball or your body just continues to go in the same direction that they did at first. However, they seem to be accelerating away in the rotating reference frame of the string or the car. The direction of centrifugal force is always outward and away from the axis because the Earth revolves around a fixed axis. Thus, in the equator and at the poles of the Earth, it is the opposite of the direction of gravity.It is zero at the poles of the Earth.
One of the four fundamental forces of the universe is gravity. A centripetal force is necessary in nonlinear motions like the planetary motion. In the study of disciplines like astronomy, physics, space exploration, cosmology, and many others, both of these forces are crucial.
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A sound wave generated by a musical note has the characteristics presented in the table. What is the missing value?
Air 346 55 6. 3
Glass 5,640 55 102
Brass 4,700 55 ?
A.
112
B.
100
C.
85
D.
98
The missing value is D. 98
The table provides information about the speed (m/s), frequency (Hz), and wavelength (m) of a sound wave generated by a musical note, in different mediums (air, glass, and brass). The frequency of the sound wave is constant across the three mediums, but the speed and wavelength will vary depending on the medium. Since we know the frequency and wavelength, we can use the formula:
Speed = Frequency x Wavelength
to find the missing value of the speed of the sound wave in brass.
4,700 = 55 x Wavelength
Wavelength = 4,700/55 = 85.818...
So the missing value is 98 (approximately) in the table.
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If I raise the temperature of a material by 5 K, what is the corresponding change in temperature on the Fahrenheit scale?
The corresponding change in temperature on the Fahrenheit scale More than 5°F.
In the Celsius scale, a temperature change of 5 degrees K corresponds to a shift of 50 degrees C. This is due to the fact that a temperature change of one degree Celsius is equivalent to a temperature change of one degree Kelvin. Tk = TC +273.15. We can observe that the relationship between the two temperature scales is linear and that its slope is the same for each.
The degree Celsius, denoted by the symbol °C, is the unit of temperature in Celsius and is by definition equal in magnitude to the kelvin unit. A temperature difference or interval can be stated in either kelvin or degrees Celsius, and in both cases the numerical value of the temperature difference is the same. However, the relationship between the numerical value of a thermodynamic temperature represented in kelvin and a Celsius temperature expressed in degrees Celsius exists.
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Jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline Which statement best describes the effect this had on the springs? A The springs maintained the same amount of displacement B The springs stretched to double the original displacement, C The spring displacement reduced to half of the original displacement
B. The springs stretched to double the original displacement, is the the statement that best describe the effect this had on the springs.
What is displacement?The displacement is the shortest distance in geometry and mechanics between the initial and final positions of a point P. From the starting position to the ending position of the point trajectory, it measures the length and direction of the net motion, or total motion, in a straight line. A displacement can be discovered by using the translation that joins the starting point and ending point.
Another way to define a displacement as a relative position is the relationship between a point's final position, or xf, and its starting position, or xi (resulting from motion). The corresponding displacement vector can be defined by the difference between the starting and final positions:
[tex]$ s=x_{\textrm {f}}-x_{\textrm {i}}=\Delta {x}}$[/tex]
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You need a capacitance of 50 µF , but you don't happen to have a 50 µF capacitor. You do have a 90 µF capacitor. What additional capacitor do you need to produce a total capacitance of 50 µF?
According to the question, you would need to add a 40 µF capacitor in order to produce a total capacitance of 50 µF.
What is the capacitor?
An electrical component known as a capacitor stores energy in an electric field. It is made up of two metal plates separated by an insulator, such as air, paper, plastic, or ceramic. When a voltage is applied to the plates, a charge is stored in the electric field. This charge can then be released when the voltage is removed. Capacitors are used in a variety of applications, such as providing energy storage in power supplies, filtering signals in electronic circuits, and providing energy to motors in electrical devices. They can also be used to balance out electrical loads in a circuit, and provide a steady current for the circuit. Capacitors can vary in size, shape, and material depending on the application.
In this case, 90 µF + 40 µF = 130 µF, and 130 µF - 90 µF = 40 µF. Therefore, you would need to add a 40 µF capacitor to the 90 µF capacitor to achieve a total capacitance of 50 µF.
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to the origin is its velocity is and it is subject to a force Find (a) the acceleration of the object, (b) the angular momentum of the object about the origin, (c) the torque about the origin acting on the object, and (d) the angle between the velocity of the object and the force acting on the object.
To find the acceleration, angular momentum, torque, and angle of an object subject to a force and moving towards the origin, we need to know the velocity and force vectors of the object.
(a) the acceleration of the objectThe acceleration of the object can be found by taking the derivative of the velocity vector with respect to time. If the object is moving towards the origin, the acceleration vector would be in the opposite direction of the velocity vector.
(b) the angular momentum of the object about the originThe angular momentum of the object about the origin can be found by taking the cross product of the position vector of the object and its velocity vector. The angular momentum is a vector quantity that is perpendicular to both the position and velocity vectors.
(c) the torque about the origin acting on the object(c) The torque about the origin acting on the object can be found by taking the cross product of the position vector of the object and the force vector acting on it. The torque is a vector quantity that is perpendicular to both the position and force vectors.
(d) the angle between the velocity of the object and the force acting on the object.The angle between the velocity of the object and the force acting on it can be found by taking the dot product of the velocity and force vectors and dividing by the magnitudes of both vectors. The angle between the two vectors is measured in radians and can be used to determine how much the force is affecting the velocity of the object.
It's important to note that all these calculations are vector calculations and they are all performed in three-dimensional space and require knowledge of vector calculus and physics.
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Two identical traveling waves, moving in the same direction, are out of phase by p/2 rad. What is the amplitude of the resultant wave in
the amplitude of the resultant is the amplitude of the two original waves times 1.85.
What transpires to the original two waves once they generate a new wave?The waves add together as a result, and the amplitude at any place is equal to the sum of the amplitudes of the individual waves at that point.
What frequency does the sum of two waves produce?The frequency of the wave produced by the superposition of two waves with comparable frequencies is equal to the average of the two. This wave's amplitude changes or beats at a frequency known as the beat frequency. By mathematically combining two waves, we can find the beat frequency.
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If we decided to make the length of one day equal to the time that it took the earth to complete a single revolution about its axis, what would change?
Our days would be a little bit shorter, and as a result, the sun would rise and set each day at later and later hours.
How long does it take the Earth to make a full rotation?Another method to determine how long a day is is to time how long it takes a planet to complete one full spin. A sidereal day is what is being described here. On Earth, a sidereal day is almost exactly 23 hours and 56 minutes long. The sidereal day occurs after every 360-degree rotation of the Earth. It takes 23 hours, 56 minutes to do that. When Earth rotates slightly more and the sun is at the same location in the sky as it was 24 hours earlier, the solar day—the one that people count in the calendar—occurs.
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Initial State: An 8-month old child is at rest at the bottom of a staircase. Final State: The 8-month old child is at rest at the top of the staircase. Notes: The system includes the child and earth. The child uses the steps to slowly crawl up the staircase
Fortunately, even those who have the most severe instances of GBS eventually recover. Some people will still have some weakness when they recover.
The peripheral nervous system, or the network of nerves outside the brain and spinal cord, is mistakenly attacked by the body's immune system in the rare neurological illness known as Guillain-Barré syndrome (GBS). A person with GBS may experience anything from a very mild case with transient weakness to a nearly fatal paralysis that prevents them from breathing on their own.
Anyone can develop Guillain-Barré syndrome. Both sexes are equally prone to the illness, which can affect anyone at any age (although it tends to affect adults and elderly persons more frequently). One in 100,000 people are thought to be affected with GBS each year.
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At a _________ light, after checking to the rear, stop before entering the intersection or at the stop bar. If the stop cannot be made safely, proceed through the intersection with caution.
"At a yellow light, after checking to the rear, stop before entering the intersection or at the stop bar." If stopping safely is not possible, cautiously cross the junction.
Devices that are typically located at significant sites, such as busy junctions, are used to give out traffic signals in order to control the flow of traffic.
A yellow traffic light serves as a warning that the red signal will soon be shown. As a result, as soon as you notice a yellow light, you should begin to slow down in preparation for a red light. Additionally, if for some reason you are unable to stop, you should keep an eye out for any vehicles that may be approaching the intersection at the same moment.
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The power needed to accelerate a projectile from rest to its launch speed v in a time t is 39.4 W. How much power is needed to accelerate the same projectile from rest to a launch speed of 2v in a time of
The same projectile needs the power to accelerate from rest to a launch speed of 2v at a time of 219.6 W.
Calculation-power P = work/time
= ½mv² / t
P' = ½m(2v)²/t
= 4 * ½mv² / t
= 4 * P
so
P' = 4 * 54.9W
= 219.6 W (or 220 W rounded off)
What is the projectile's acceleration at the pinnacle of its trajectory?As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.
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It took the bike messenger 36 minutes to ride from the school to the blue house. If they are 2160 meters apart, what was the messenger's velocity
The bike messenger's velocity will be 1 m/s.
Given as per the question is,
Distance between school and the blue house is 2160 meters
Time taken by the bike messenger is 36 minutes
Velocity is to be calculated.
Converting minutes into seconds,
36 minutes = 36 X 60 = 2160 seconds.
Velocity of an object can be calculated by the formula as,
Velocity = Distance/ Time
Substituting the values as per the formula above,
Velocity = 2160/2160 = 1 m/s
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Two objects with negative charges of 6.2 nC each are separated by 0.3 m. What is the size and direction of the force between the two charges?
The force between the charges are [tex]3844*10^{3} N[/tex]
Before we try to calculate Coulomb's law for forces between multiple charges, we need to understand Coulomb's force between two charged particles. Coulomb’s law or Coulomb’s inverse square law was discovered in 1785 by French physicist Charles-Augustin de Coulomb. The experimentally proven law quantifies the force exerted by a static charged particle on another static charged particle.Assume two static charged particles with a charge of ‘q1’ and ‘q2’ respectively. The force exerted by one particle on the other, if they are separated by a distance of ‘r’ between their centers is given by:[tex]F = kQq/r^{2}[/tex]
Given, Q = q = 6.2 mC = [tex]6.2 * 10^{-3}[/tex]
r = distance = 0.3m
k = constant = [tex]9*10^{9}[/tex]
Putting these values in above equation we get F = [tex]3844*10^{3} N[/tex]
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a certain mass of neon is in a rigid steel container. the samew mass og helium is added, what happens to pressure
According to the question, the container's pressure increases but it doesn't double.
This word pressure, what is it?By dividing the force by the area, pressure is calculated. the use of force to oppose another force. a surface's area divided by a force applied over it. the force that the atmosphere's weight causes to be applied.
What is a good instance of pressure?Holding a knife against a fruit piece will demonstrate pressure in an easy way. It won't cut surface of the fruit if you press the flat side of a knife against it. A sizable area is affected by the force (low pressure).
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the driver of a 2000 kg car moving at 30 m/s presses on the break pedal. If the braking force is 10000 N, how far does the car travel before stopping
If the braking force is 10000 N, 90 meters is far the car travel before stopping.
What is force ?When an object interacts with another object, it experiences a push or pull known as a force. Every time two objects come into contact, a force is applied to each one of them. Actual forces can only be created by interaction.
What is energy ?The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.
Given that,
Mass of automobile = 2000 kg
speed = 30 m/s
Braking force = 10000 N
For, The acceleration is
Using newton's formula
Where, f = force
m= mass
a = acceleration
Put the value of F and m into the formula
-10000 = 2000*a
The braking force is visible in the negative sing.
It demonstrates that the force's direction is the inverse of the motion.
a = -10000/2000
a = -5m/s2
For the distance,
Using third equation of motion
[tex]v^{2} - u^{2} = 2as[/tex]
[tex]0- 30^{2} = 2 * (-5) *s[/tex]
s = 90m
Consequently, the automobile went 90 meters before coming to a stop.
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a boy pushes forward a cart of groceries with the total mass of 45kg. What is the acceleration of the cart if the net force on the cart is
If the net force on the cart is 66.0 N, the acceleration of the cart is 1.46 m/[tex]s^{2}[/tex] .
How do you calculate mass given acceleration and force?The formula used in the second law of motion to explain the connections between force, mass, and acceleration is Mass + acceleration equals force. F = ma Calculating force in Newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s2) may all be done using this formula.
It is show that,
Mass of cart, m = 45 kg
Net force acting on cart, F = 66 N
Let a represent the rate of acceleration of the cart being pushed. Using Newton's second rule of motion, it can be calculated as follows:
F = ma
a = F/m
a = 66 N/45 Kg
a = 1.46 m/[tex]s^{2}[/tex]
So, the acceleration of cart is = 1.46 m/[tex]s^{2}[/tex] .
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Which of the following is the law of action-reaction?
OA. Newton's first law
B. Newton's second lav
OC. Newton's third law
OD. Newton's fourth law
Answer:
OC.Newton's third law of motion which states that,"every action has equal and opposite reaction."
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Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100.0 m each. If Margy is walking at 1.4 m/s and accelerates at 0.20 m/s2 during one of the running portions, what is her final velocity at the end of the 100.0 m
She moves at 6.5 m/s as her final speed after running 100 meters.
Acceleration or velocity, according to m/s 2?The velocity change of an object per unit of time is known as acceleration. Amounts of acceleration are measured in meters per second squared (m/s2), the SI unit of acceleration. For instance, due to Earth's gravity, a falling object accelerates at a rate of 9.8 m/s2.
A straight-line motion issue looks something like this. These formulas are used to determine the final velocity:
s = Vo*t + (1/2)*a*at2, and Vf = Vo + at
Where:
Vf = = final speed =?
1.4 m/s is the initial velocity, and 0.20 m/s is the acceleration.
100m displacement in 2 seconds.
the first equation is changed by:
100 = 1.4t + (1/2)*0.2*t^2\st = 25.388s
Vf = 1.4 + 0.2 can be used as a replacement in the second equation.
Vf = 6.5m/s
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If the separation is decreased to 1.90 mm , what is the energy now stored if the capacitor was disconnected from the potential source before the separation of the plates was changed
When the distance between the plates is decreased to 1.90 mm, the capacitance of the capacitor will increase and the energy stored in the capacitor will also increase.
However, since the voltage across the plates is not given, it is not possible to calculate the energy stored in the capacitor after the separation of the plates has been changed
The below equation gives the capacitance of a parallel-plate capacitor.
C = ε * A / d
Where ε is the dielectric constant of the material between the plates, A is the area of the plates and d is the distance between the plates.
The energy stored in a capacitor is given by the equation:
Energy = 1/2 * C * V^2
where V is the voltage across the plates and C is the capacitance
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a book with a mass of 0.25 kg is lifted 2 m onto a bookshelf. how much gravitational potential energy does it gain? ( g = 10 N/kg)
What is the lever arm between F and the pivot point?
A revolving bar that pivots on a fixed point serves as the lever arm between F and the pivot point.
The pivot is the elbow, while the forearm acts as the lever arm. The biceps muscle exerts the effort and bends the forearm in spite of the forearm's weight and whatever additional weight the hand may be carrying. The weight is farther away from the pivot than the effort.
The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.
The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever arm generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.
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In which of the following situations is kinetic energy transformed into chemical energy by way of electrical energy?
A. wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.
B. wood is burned in a steam engine to drive an electrical generator that in turn provides energy for a motor.
C. charge separation caused by motion and friction among clouds produces lightning, which strikes a tree, setting it on fire.
D. the electric current from a battery is used to separate water molecules into their elemental oxygen and hydrogen components.
The situations is kinetic energy transformed into chemical energy by way of electrical energy is- wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.
Hence, option A is correct.
Wind turbines convert wind's mechanical energy into electrical energy. In this scenario, a turbine uses the kinetic energy of moving air to create a rotating motion. Wind causes a wind turbine's blades to move or rotate as it blows past them. An engine is powered by these blades.An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an object. After the job is finished, the object will be travelling at a new, constant speed because energy has been transferred to itTo know more about kinetic energy here
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In pan 1, you'll spray the sand with water. In pan 2, you'll set ice cubes on the sand to melt. Predict what will happen in each pan
In pan 1, when you spray the sand with water, the water will be absorbed by the sand and the sand will become more compact and dense. This is because water molecules will fill the spaces between sand particles and increase the weight of the sand.
In pan 2, when you set ice cubes on the sand, the ice cubes will begin to melt as they come into contact with the warmer sand. As the ice melts, the surrounding sand will become wet. The meltwater will also lower the temperature of the sand around the ice cubes.
The ice cubes will continue to melt until they are fully melted, and the water will be absorbed by the sand. The wet sand will be cooler than the dry sand. This process will cause a change in the temperature and moisture content of sand which can be observed and studied.
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ethe earth takes 1 day to rotate once about its axis. what is the angular v elocity of a point on the surface of the earth studentroom physics ocr a
The angular velocity of a point on the surface of the earth is [tex]7.3 * 10^{-5} rad/s[/tex]
What is angular velocity?
Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.
What is angular velocity and write its formula?
Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.
Every point on the earth's surface completes one circular orbit (centered at a point on the axis) in 1 day
1 day = 24x60x60
1 day=86400s
Angular velocity is given by :
[tex]w =2\pi /86400\\ w =7.3*10^{-5} rad/s[/tex]
Thus, [tex]7.3 * 10^{-5} rad/s[/tex] is the correct answer.
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Think of another topic in science that would lend itself to creating a word web. What is the main topic and list six subtopics you would include under it. You could use a whole subject area like chemistry or the desert. Pick a topic you know something about. Help me with this please
The study of computers and computing, encompassing the theoretical and algorithmic underpinnings, hardware and software, and applications for information processing, is known as computer science.
Uses and advantages:The study of algorithms and data structures, computer and network design, the modelling of data and information processes, and artificial intelligence are all included in the field of computer science. Since mathematics and engineering provide some of the underpinnings for computer science, it integrates concepts from those fields as well as queueing theory, probability and statistics, and electrical circuit design. As new algorithms, information structures, and computer architectures are conceptualised, designed, measured, and improved in computer science, extensive use of hypothesis testing and experimentation is also used.
Computer science is regarded as one of five distinct but related fields, including computer engineering, information systems, information technology, and software engineering. This family has come to be known collectively as the discipline of computing.
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Which statement best describes how the gravitational attraction between objects is related to their distance from each other: A) The objects always attract each other.
B) The objects repel each other only if they have very different masses.
C) The objects always repel each other.
D) The objects attract each other only if they are moving toward each other.
Correct option is A) The objects always attract each other.
There is always a pull from gravity. It won't repel.
A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.
A rise in one quantity causes a fall in the value of the other since the two values are inversely proportionate. In other words, as the separation distance increases, the force of gravity decreases, and as the separation distance decreases, the force of gravity increases.
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What is the acceleration at t 2?
The formula x(t) = 4t3 + 6sin(t) provides the location of an item. Discover the object's acceleration at time t=2. The variation in velocity called the acceleration.
If x(t) = 4t3 + 6sin(t), then its derivative, v(t) = 12t2 + 6cos(t), provides the velocity (t). Then, the derivative of velocity, a(t) = 24t 6sin, gives the acceleration (t) Therefore, a(2) = 24 2 6sin(2) = 42 6sin(2) gives the acceleration at time t = 2. The overall change in velocity during the specified interval divided by the total amount of time required for the change is the definition of average acceleration over a particular period of time. It is represented as for a specific amount of time. Where is the average acceleration and v2 and v1 are the instantaneous velocities at time t2 and t1, respectively.
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When a satellite is a distance R from the center of the Earth, the force of gravity on the satellite is F. What is the gravitational force on the satellite when its distance from the center of the Earth is 3R
When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.
What do you mean by gravitational force?Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.
Given that the foece on the satellite due to earth gravity is F
(At a distance R from center of Earth)
Initial separation between the satallite and Earth is R
Final separation between the satallite and Earth is 3R
The force on the satallite due to earth is
F= [tex]\frac{GMm}{r^{2} }[/tex]
Here M is mass of earth and m is mass of satellite
if the distance between satellite and earth changed to 3R
the force on the satellite due to earth is
F'=[tex]\frac{GMm}{3R^{2} }[/tex]
F'=[tex]\frac{GMm}{9R^{2} }[/tex]
F'=F/9
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A mass of 0.343 kg moves down a 5 meter ramp in 5.8 seconds. What is its velocity and kinetic energy
According to the given information the velocity is .0148 m/s2 and the kinetic energy is 3.78 J.
What is the straightforward meaning of velocity?The movement that an item or particle experiences with regard to time is expressed vectorially as velocity. One metre per second (m/s) is the accepted unit of flow speed (also known as speed).
What does velocity in SI mean?The metric speed unit is the meter per minute (m/s). A different way to express velocity magnitude is in centimeters per second (cm/s).
vilocity = 5/(5.8×5.8)
= 0.148
kinetic energy = 1/2mv^2
= 1/2 × (0343 × 0.148×0.148)
= 3.78 J
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