The distance of planet X from the sun is 8 times greater than that of planet Y.
The time period of a planet around the sun is directly proportional to the distance of the planet from the sun. The relationship between the time period and distance of a planet around the sun is given by the formula T^2 = k*r^3, where T is the time period, r is the distance of the planet from the sun and k is a constant.
Given that the time period of planet X around the sun is 8 times that of planet Y.
T_x = 8 * T_y
We can square the equation, we have:
T_x^2 = 8^2 * T_y^2
We can divide the above equation by the constant k, we have:
r_x^3 = 8^2 * r_y^3
We can take the cube root of both sides, we have:
r_x = (8^2 * r_y^3)^(1/3)
r_x = 8 * r_y
So the distance of planet X from the sun is 8 times greater than that of planet Y.
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When the torque acting on a system is zero Which of the following is constant?
When the torque acting on a system is zero then angular momentum is constant.
The principle of inertia says that a body having constant mass will continue to move with constant velocity with respect to an inertial frame, unless an external force acts on it. A familiar example is a hockey puck on a freshly- resurfaced ice rink.
In addition, Newton’s second law tells us what will be the effect of an external force on the motion of a body: the force is the time rate of change of the linear momentum.
The first term is zero because the cross product of a vector with itself is zero. We used Newton’s law to arrive at the second term, which is called the torque of the force about the point from which the position is measured.
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when a head light on a car has to be replaced do the two lights have to be tested to be in proper aignment?
Yes, it is recommended to align both headlights of a car after replacing one of them. Proper headlight alignment is important for ensuring safe driving and optimal visibility on the road.
what is the importance of headlights in cars ?
headlights are a crucial component of a vehicle's lighting system, serving both functional and aesthetic purposes. Properly functioning headlights are essential for safe and efficient driving, especially in low-light conditions.
Yes, it is recommended to align both headlights of a car after replacing one of them. Proper headlight alignment is important for ensuring safe driving and optimal visibility on the road. When one headlight is replaced, the alignment of the headlights may change, affecting the way light is projected on the road ahead. By aligning both headlights, you can ensure that the beam pattern is symmetrical and that the lights are aimed correctly, providing better visibility and avoiding glare for other drivers on the road. This is especially important for vehicles with bi-xenon or adaptive lighting systems. A professional mechanic or a service centre with the proper equipment can perform the headlight alignment.
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the same dc motor and spool from problem 3 lifts a 3 kilogram mass while its output shaft rotates at 150 degrees per second. what is the motor torque in n-m? what is the shaft angular velocity in radians per second? in revolutions per minute?
First, we need to calculate the torque of the motor. The torque (τ) is given by the formula:
τ = F x r
Where:
τ = torque (N-m)
F = force (N)
r = radius (m)
The force (F) is the weight of the mass being lifted (3 kg) multiplied by the acceleration due to gravity (9.8 m/s^2):
F = m x g = (3 kg) x (9.8 m/s^2) = 29.4 N
The radius (r) is the distance from the centre of the spool to the point where the force is applied:
r = ? (distance not given)
So, we can't calculate the torque without the radius value.
Next, we can calculate the angular velocity of the shaft in radians per second. The angular velocity (ω) is given by the formula:
ω = (θ/t)
Where:
ω = angular velocity (rad/s)
θ = angular displacement (degrees)
t = time (s)
The angular displacement is 150 degrees, and we assume that the time is 1 second, so:
ω = (150/1) = 150 rad/s
Finally, we can calculate the shaft angular velocity in revolutions per minute (RPM). To convert radians per second to revolutions per minute, we can use the formula:
RPM = (ω x 60) / (2π)
RPM = (150 x 60) / (2π) = 2550/6.28 = 406.45 RPM
So the shaft angular velocity in revolutions per minute is 406.45 RPM.
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What is the formula of principle of lever?
The formula of principle of lever IMA = Force Output / Force Input where F1D1 = F2D2 which means Work in = Work out.
A lever is a device that changes the force and distance of mechanical motion, input, fulcrum, and an output.
Classes of levers:
Class 1, fulcrum in the middle (teeter-totter)
Class 2, fulcrum on one end and output in the middle (wheel-barrel)
Class 3, fulcrum on one end and input in the middle (car jack)
First law is known as the Law of Conservation of Energy which states that energy can neither be created nor destroyed: energy can only be transferred from one form to another. Thus, if there is work in terms of energy transformation in a system, there is equivalent loss of energy transformation around the system. This fact balances the first law of thermodynamics.
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What are two types of “non-contact forces”?
Answer:
Gravitational force and Electrostatic force
Explanation:
These, as well as magnetic force, are the 3 non-contact forces.
Two types of non-contact forces are Gravitational force and Magnetic force.
A non-contact force is a force acting between two different objects, placed at a distance from each other. It is a force applied to an object without any physical contact with it. The most well-known non-contact force is gravity, which relates to weight.
The force that causes a ball that is thrown in the air to fall down after reaching a height is known as gravitational force. It is an attractive force that the earth exerts on every object in the universe.
Magnetic force is the attraction or repulsion arising between electrically charged particles because of their motion. This force results in the magnets attracting and repelling each other. Magnetic poles always exist in pairs.
Examples where magnetic force is used, are; a magnetic compass a motor, and making a tight seal on the doors to refrigerators and freezers, etc.
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A 2 kg bird exerts 9 joules of kinetic energy. How fast is it flying?
kinetic energy of the bird of mass 2 kg is given 9 J. Then the velocity with which the bird is flying is 3 m/s
What is kinetic energy?The kinetic energy of an object is the energy generated by virtue of its motion. It is related to its mass and velocity by the expression written below:
Ke = 1/2 m v²
Thus, kinetic energy increases with mas and velocity. When a body starts moving from rest, its potential energy starts converting to kinetic energy.
Given that, mass of the bird = 2 kg
then Ke = 1/2 ×2 kg × v² =9 J.
v = √2 Ke/m
v = √(2× 9J/2Kg) = 3 m/s
Therefore, the velocity flying of the bird weighing 2 kg to exerts a kinetic energy of 9 joules is 3 m/s.
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What is the kinetic energy of a girl who has a mass of 50 kg and a velocity of 4 ms?
The kinetic energy of the girl is 400 Joule. The result is obtained by using the formula for the kinetic energy of an object.
What is kinetic energy?Kinetic energy is the energy of an object due to its motion. The energy is equal to half mass of an object multiplied by the square of its velocity.
The statement can be expressed as
KE = ½ mv²
Where
KE = kinetic energy (J)m = mass of object (kg) v = velocity of object (m/s)A girl with a mass of 50 kg has a velocity of 4 m/s. Find the kinetic energy!
The kinetic energy would be
KE = ½ mv²
KE = ½ (50) (4)²
KE = 25 (16)
KE = 400 Joule
Hence, the girl moving has the kinetic energy of 400 Joule.
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SHOW WORK FOR BRAINLIST
The diagram shows a student seated on a rotating circular platform, holding a
2.0-kilogram block with a spring scale. The block is 1.2 meters from the center
of the platform. The block has a constant speed of 8.0 meters per second.
[Frictional forces on the block are negligible.] What is the centripetal force?
The centripetal force acting on the block is 106.7 N.
What is the centripetal force?
The centripetal force acting on the block is calculated by applying the following formula.
F = ( mv² ) / r
where;
m is the mass of the blockv is the speed of the blockr is the radius of the circular pathThe centripetal force acting on the block is calculated as;
F = [ ( 2 kg x ( 8 m/s )² ] / ( 1.2 m )
F = 106.7 N
Thus, the centripetal force acting on the block is a function of the mass and speed of the block.
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If a bowling fall drops for 5 seconds how far does it fall?
Answer:
122.5 m
Bonus:
If it drop for 6 seconds = 176.4 which is not a lot but when you first look at it, it looks a lot
considering the phase relationship between current and voltage in a parallel rlc circuit, the resistive current is ? .
In a parallel RLC circuit, the resistive current is in phase with the voltage.
In a parallel RLC circuit, the current is determined by the resistance, inductance, and capacitance. The current flowing through the resistor is in phase with the voltage, meaning that the maximum current and the maximum voltage occur at the same time. This is because the resistance does not introduce any phase shift between the voltage and current. On the other hand, the current flowing through the inductor leads the voltage by 90 degrees, and the current flowing through the capacitor lags the voltage by 90 degrees. Thus, the resistive current is in phase with the voltage, meaning that when the voltage is at its maximum, the resistive current is also at its maximum, and vice versa.
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gold, which has a density of 19.32 g/cm 3 , is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber, (a) if a sample of gold, with a mass of 27.63 g, is pressed into a leaf of 1.000 ^m thickness, what is the area of the leaf? (b) if, instead, the gold is drawn out into a cylindrical fiber of radius 2.500 fjl m, what is the length of the fiber?
So, the length of the cylindrical gold fiber is 1.36 x 10⁻⁴m.
define length ?
Length is a measure of the extent of an object or distance along its longest dimension. It is typically defined as the distance between two points or the size of an object in the direction of its length. Length can be measured in units such as meters, centimeters, inches, or feet, depending on the specific application or field of study.
(a) To find the area of the gold leaf, we can use the formula:
A = m/d * t
where m is the mass of the gold (27.63 g), d is the density of gold (19.32 g/cm^3), and t is the thickness of the leaf (1.000 m).
A = 27.63 g / (19.32 g/cm³) * (1.000 m)
A = 1.42 x 10⁻⁴ m²
So, the area of the gold leaf is 1.42 x 10⁻⁴ m².
(b) To find the length of the cylindrical gold fiber, we can use the formula:
L = m/d * (4/3) * π* r²
where m is the mass of the gold (27.63 g), d is the density of gold (19.32 g/cm^3), and r is the radius of the cylindrical fiber (2.500 fjl m).
L = 27.63 g / (19.32 g/cm³) * (4/3) * π * (2.500 fjl m)²
L = 1.36 x 10⁻⁴ m
So, the length of the cylindrical gold fiber is 1.36 x 10⁻⁴ m.
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what is the volume of the cone to the nearest whole number? responses a 283 m3283 m 3 b 94 m394 m 3 c 31 m331 m 3 d 188 m3
So, the volume of cone of whole number is 94.
Frist step should be: To find the volume First, take the measurement of the diameter (broad measurement you can take of the base), then measure or evaluate the height. If you earlier have plans or schematics, just get the lengths from there.
change the length units to the same base, e.g., centimeters or inches, then follow the formula above or use our online volume of a cone calculator.
The output is all the time in cubic units, e.g., cubic feet, cubic inches, cubic yards, cubic mm, cubic cm, cubic meters, and so on.
The cone is not as famous as some other bodies in construction and engineering, but it has its uses.
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Create 5 test questions that are biased and give a reason for the question being biased
This phrase describes the several circumstances and biases that may affect survey results.
What is Response Bias?Survey data that contains biased responses is less useful because it is erroneous, whether the bias was intentional or not.Self-reporting participant surveys are especially prone to this problem.Any survey's core problem is bias replies, which determine the data's quality. If you want insightful survey responses, bias avoidance is absolutely crucial.One of the more typical kinds is leading bias. As an illustration, imagine that your question is about customer happiness and that the response possibilities are Very Satisfied, Satisfied, and Dissatisfied. Bias exists in this situation, which could impact the outcome.By including two of each of the positive and negative answers in the survey questions, you may avoid bias in this situation.To Learn more About biases refer To:
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What happens to the potential energy in the system of magnets?
When two magnets attract or repel each other, potential energy can be stored in their relative positions. For example, two magnets have potential energy when they are brought together, when released they move apart.
Potential energy is the energy possessed by an object due to its position. Potential energy is also called rest energy because objects that are at rest can have energy.
If this object moves, then the object undergoes a change in potential energy which becomes the energy of motion.
Magnetic energy also includes potential energy. When we hold something made of iron near a magnet, the magnetic potential energy works on the object. When we let go of an object we are holding (a nail, for example), in a short time the nail moves toward the magnet and sticks to the magnet. It should be understood that a nail has magnetic potential energy when it is at a certain distance from the magnet; when attached to a magnet, the energy potential is zero.
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When angle between force and displacement is 90 then work done is?
When Angle between force and displacement is 90, then Work done is by the force is zero.
Work done is a scalar quantity and it is given by the dot product of force and displacement vectors, which is defined as:
Work = force * displacement * cos(theta)
where theta is the angle between force and displacement vectors. When the angle between the vectors is 90 degrees, the dot product becomes zero as cos(90) = 0 and the work done is zero.
This means that if the force is applied perpendicular to the displacement then no work is done, as the force does not have any component in the direction of displacement. This can be visualized with a simple example like pushing a wall. If you push a wall perpendicular to it, no work is done on the wall, as the wall does not move in the direction of the force.
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a c o mputer hard disk stores data on a rotating cylindrical disk. consider such a disk with a radius of 6 em and a mass of 0.02 kg. (a) what i s the moment of inertia of the disk? (b) if the disk drive motor provides a torque of 0.1 n - m during spin-up, what i s the rotational speed of the disk after 5 seconds? (c) a new disk design uses composite materials to m a ke a disk of the same mass but with a radius 1 . 5 times that of the original disk. what i s the inertia of the new disk? what motor torque would be required to spin the new disk to the same speed as the original i n 5 seconds?
a) 0.18[tex]kgcm^2[/tex] is the moment of inertia of the disk.
b) 2.8 rad/s is the rotational speed of the disk after 5 seconds.
c) 0.675[tex]kg*cm^2[/tex] is the inertia of the new disk
(a) The moment of inertia of a disk is given by the formula I = [tex](1/2) * m * r^2[/tex]. Using this formula, the moment of inertia of the disk is [tex](1/2) * 0.02 kg * (6 cm)^2[/tex] = 0.18 [tex]kg*cm^2.[/tex]
(b) To find the rotational speed of the disk after 5 seconds, we can use the equation [tex]\omega = \alpha * t[/tex], where [tex]\omega[/tex] is the angular velocity, [tex]\alpha[/tex] is the angular acceleration, and t is the time. Since we don't have a value for [tex]\alpha[/tex], we can use the equation [tex]\alpha[/tex]= torque / I, where torque is the torque applied and I is the moment of inertia. So we can first find the angular acceleration with: [tex]\alpha[/tex]= 0.1 Nm / 0.18 [tex]kgcm^2[/tex] = 0.56 [tex]rad/s^2[/tex]
then we can find the angular velocity with: [tex]\omega = \alpha * t[/tex] = 0.56 [tex]rad/s^2[/tex] * 5 s = 2.8 rad/s
(c) The moment of inertia of the new disk can be found using the same formula[tex]I = (1/2) * m * r^2[/tex], but with the radius of the new disk, which is 1.5 times that of the original. So the moment of inertia would be (1/2) * 0.02 kg * (1.5 * 6 cm)^2 = 0.675[tex]kg*cm^2[/tex].
To find the torque required to spin the new disk to the same speed as the original in 5 seconds, we can use the equation torque = I * [tex]\alpha[/tex], where alpha is the angular acceleration. Since we want the same angular velocity as before, we know that the angular acceleration will be the same. So we can use the same value for alpha as before (0.56 [tex]rad/s^2[/tex]) and plug it into the equation: torque = 0.675 [tex]kgcm^2[/tex] * 0.56 [tex]rad/s^2[/tex] = 0.378 Nm.
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If you melt a metamorphic rock and let it cool what type of rock will you have ?
If you melt a metamorphic rock and let it cool, you would have an igneous rock.
Metamorphic rocks are formed from the alteration of existing rocks due to heat, pressure, and chemical processes. When a metamorphic rock is melted, the minerals that compose it are broken down and can re-crystallize into new minerals as the rock cools.
The process of solidification of molten material to form a solid rock is called igneous rock formation.
It's important to note that the process of melting and solidifying can also change the texture and structure of the rock. For example, a metamorphic rock that was originally a fine-grained rock may become a coarse-grained rock after the process of melting and solidifying.
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A 8.43-newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. what is the value of the mystery displacement?
The value of the mystery displacement, according to the principles of work, is 44.6m as work is the scalar product of force and displacement.
Displacement is the smallest distance between a body's initial position, and it's final position. It is a vector quantity thus meaning it has a magnitude and a direction. It is represented as an arrow which points from the starting point in the direction of the final point. For example, if an object moves from A to B, then it's displacement would be the length of a straight line joining two points, with direction of arrow pointing from A towards B.
Force is an influence that tends to change the motion or state of a moving body or tends to produce motion or stress in a stationary body. The value of Force is often calculated by the product of mass of the body and acceleration of the body. It is a vector quantity having both magnitude and direction.
Work is the amount of energy transfer to or from an object on subjection to a force along a displacement. Work is a scalar quantity, thus only having a magnitude no direction. It is the scalar product of the force vector and the displacement vector.
Thus, in simpler terms. along a straight line, we get the equation: Work = Force × Displacement
As from the given information,
Work = 376 Joules, and
Force = 8.43 Newton
Hence putting the values in the equation,
Displacement = Work / Force = 376 J / 8.43 N
= 44.6 m
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consider burning wood at a bonfire. how does the mass of the reactants (substances before the fire) compare to the mass of the products (substances after the fire)?
When wood burns, the mass of the gases, soot, and ashes is equal to the mass of the charcoal and oxygen before the reaction began. Thus, the mass of the reactant and the mass of the product are equal. According to the rule of conservation of mass, a chemical process cannot generate or destroy matter.
According to the rule of conservation of mass, mass is neither generated nor destroyed during a chemical process. For instance, when coal is burned, the carbon atom in it transforms into carbon dioxide. The carbon atom transforms from a solid to a gas, yet its mass remains constant.
A cornerstone of physics is the law of conservation of mass. This law states that matter cannot be generated or destroyed. In other words, regardless of how the components are reorganized, an object's mass remains constant. That is to say, the mass of any one element at the start of a reaction will be equal to that element's mass at the conclusion of the reaction.
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Once the depth of snow and ice reaches more than 30 to 40 meters, the force of friction begins to pull a glacier downhill.
The given statement is true that Once the depth of snow and ice reaches more than 30 to 40 meters, the force of friction begins to pull a glacier down.
The magnitude of friction is merely the product of μ and N, where μ is the coefficient of friction and N is the normal or perpendicular force mentioned above, referenced to the plane of action.
The coefficient of friction is a dimensionless quantity generally between zero and one which describes the stickiness between two surfaces, zero being not sticky at all and one being very sticky.
It is a quality of the interface of the two surfaces. Ice and sand have a particular , while ice and steel have another, depends on the smoothness of the interface and the adhesion or cohesion between the substances (adhesion for unlike materials, cohesion for like materials, primarily electronic attraction).
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What is the kinetic energy of a 20 kg object with a velocity of 5 m s?
The kinetic energy of the object is 250 Joule. The result is obtained by using the formula for the kinetic energy of an object.
What is kinetic energy?Kinetic energy is the energy of an object due to its motion. The energy is equal to half mass of an object multiplied by the square of its velocity.
The statement can be expressed as
KE = ½ mv²
Where
KE = kinetic energy (J)m = mass of object (kg) v = velocity of object (m/s)We have an object with
Mass, m = 20 kgVelocity, v = 5 m/sFind the kinetic energy!
Using the formula above, the kinetic energy is
KE = ½ mv²
KE = ½ (20) (5)²
KE = 10 (25)
KE = 250 Joule
Hence, the object has the kinetic energy of 250 Joule.
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What is the smallest height needed to make a wave?
A.6 feet
B.90 millimeters
C.20 millimeters
D.any height
The smallest height needed to make a wave is (D)any height.
What is waves?Wave in term of object is a condition of an object has different value of height in its surface as long as the surface has the crest point and the trough, an object can be determine has a wave. The highest point of the wave is named as the crest and the lowest point is named the trough. The wave height define as the overall vertical difference in height between the trough and the crest, and distance between two successive troughs or crests is the length of the wave or wavelength.
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class b model rocket engines can apply 5.0 n-s of impulse to a rocket. if a class b engine that has a burn time of 1.2 s is attached to a 0.15 kg rocket, what maximum speed will the rocket reach when it is launched? (ignore air resistance.)
21.8 m/s is the maximum speed will the rocket reach when it is launched with class b model rocket engines can apply 5.0 n-s of impulse to a rocket. if a class b engine that has a burn time of 1.2 s is attached to a 0.15 kg rocket.
What is Impulse?The integral of a force, F, across the time period it applied on is termed as an impulse. Impulse is a vector quantity as force is one as well. When an item receives an impulse, its linear momentum also changes in the opposite direction in an analogous vector.
Given:
5.0 n-s of impulse
burn time of 1.2 s
0.15 kg rocket
Use the rocket's impulse to solve for the average force of the engine applied on the rocket which is given by following:
J = Ft
(5.0 N-s) = F(1.2 s)
F = 4.2 N
Now Use the impulse-momentum theorem to find the rocket's change in velocity which is given by following equation:
ΣFt = mAv
((4.2 N) - (0.15 kg)(9.8 N/kg))(1.2 s) = (0.15 kg)(v)
Av = 21.8 m/s
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why does electric field not have an impact on the radius of a proton moving in helix motion due to magnetic field
Electric field does not have any impact on the radius of the proton moving in helix motion due to magnetic field because it can change only the tangential motion of the charged particle.
Electric field refers to the field around a charged particle in which it tends to either attract or repel the other charged bodies present in its field of influence. Magnetic field is the field produced due to the magnetic waves which travel from one pole to another. Both these fields affect the motion of particle in certain ways. The motion is determined by Right hand rule in case of magnetic field and the helical motion of the proton is produced only by magnetic field.
The relation between radius of proton is inversely proportional to strength of magnetic field and there is no interference of electric field. It is given as:
r = mv/Bq, where
m = mass of particle
v= velocity of particle in circular/ helical motion
B= Magnetic field
q = charge on the particle
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What is the torque if the force applied is perpendicular to the moment arm?
If such applied force seems to be perpendicular towards the moment arm, the torque would be a perpendicular force (F) multiplied by distance (r), as well as the product would be cross product.
Consider a stiff object rotating at a constant angular velocity about such a fixed axis. Every particle inside the item has kinetic energy since it is moving. To calculate the total kinetic energy associated with the rotation of something like the body, add the kinetic energy of each particle caused by rotational motion.
The rotating analogue of force was torque, often known as that of the moment of force. This word is derived from the Latin word torque indicating "to twist". A torque was required to alter the state of rotation of such a particle and object in exactly the same manner that a force was required to change the condition of motion of a particle and object.
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recently, management at oak tree golf course received a few complaints about the condition of the greens. several players complained that the greens are too fast. rather than react to the comments of just a few, the golf association conducted a survey of male and female golfers. the survey results are summarized here. Combine these two crosstabulations into a single crosstabulation, with Male and Female as the row labels and Too Fast and Acceptable as the column labels. Which group shows the highest proportion saying that the greens are too fast?
a. See the table that is attached below for an explanation (a)
How to calculate inconsistency?b. In the group of people under 15 years old, men are more likely than females to drive too quickly.
c. Among those who are 15 or older, women are more likely than men to be moving too quickly.
d. Males preferred faster greens, while females preferred slower greens.
Male players with lesser handicaps preferred slower greens.
Higher handicapped women preferred slower greens.
Each value of xx and each value of yy must be counted in terms of how often they appear together.
The percentage of too fast driving is higher among women.
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When going more than 38 miles per hour, the gas mileage of a certain car fits the model y = 43. 81 minus 0. 395 x where x is the speed of the car in miles per hour and y is the miles per gallon of gasoline. Based on this model, at what speed will the car average 15 miles per gallon? (round to nearest whole number. ).
73 miles per hour speed will the car average 15 miles per gallon.
What is speed?Velocity, as opposed to speed, refers to the pace and direction of such an object's travel as it moves down a path. Alternatively, velocity is a vector while speed is a scalar quantity.
The pace at which distance and time change is what is meant by speed. It has the aspect of temporal and spatial remoteness. The combination of the fundamental units of distance and time is what is described as the SI unit of speed. As a result, the SI unit of speed is the meter per second.
Given that,
When going more than 38 miles per hour, the gas mileage of a certain car fits the model: y = 43.81 - 0.395x
let, suppose y = 15
now, 15 = 43.81 - 0.395x
or, -28.81= - 0.395x
or, x = 72.9367 = 73 miles per hour to get 15 miles per gallon.
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the escape velocity on the surface of earth is ve. if body is thrown with twice this velocity then what will be its velocity after escaping the gravitational field :
√3ve will be the velocity after escaping the gravitational field.
Why do we have gravitational fields?
A gravitational field is a region of space where a body, like a planet or star, pulls on nearby bodies with enough gravitational force to cause them to move. Gravity is the name of this force. The mass of the object and its distance from the gravitational field are related. The gravitational field is strongest at the object itself and weakens as one gets farther away from it. Because the gravitational field is a vector field, its strength and direction vary from one point to another in the space it occupies. The mathematical formula known as the inverse-square law can be used to describe this vector field. Calculating the acceleration can be done using the gravitational field.E1= (1/2)m(2ve)²- GMm/R
m is mass of the body to be projected,
M is mass of the earth.
R is radius of the earth.
G is universal gravitational constant.
Now, escape velocity satisfies the relation::
(1/2)mve²= GMm/R…………..(2).
Using equation (2) in equation (1), we get
E1=(1/2)m(2ve)²-(1/2)mve²…………(3)
Now, at infinity potential energy is zero.
If v' is velocity of the body at infinity, it's kinetic energy there will be,
E2=(1/2)mv'²……………….(4)
Comparing equation (1) with equation (4), and cancelling common factor,
3ve²=v'² or
v'=√3ve……………(.5)
Thus, √3ve will be the velocity after escaping the gravitational field.
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a particle whose mass is 30.0 grams and whose charge is 5 nc is released from rest when it is 20 mm from a second particle of charge 10 nc. find the magnitude of the first particles initial acceleration in m/s^2
The magnitude of the first particle's initial acceleration in [tex]2.25 * 10^6 m/s^2[/tex]
The equation for the force between two charged particles is:
F = (k * q1 * q2) / d^2
where k is the Coulomb constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the magnitudes of the charges, and d is the distance between them.
Since the first particle is released from rest, its initial acceleration is equal to the net force acting on it, which is the force between the two charged particles.
So,
a = F / m
where m is the mass of the first particle. Substituting the values and converting units, we get:
[tex]a = (k * 5 * 10^-^9 * 10 * 10^-^9 ) / (0.02 )^2\\\\a = (8.99 x 10^9 /C^2 * 5 * 10^-^9 * 10 x 10^-^9 ) / (0.02 )^2\\\\a = 2.25 x 10^6 m/s^2[/tex]
What is Coulomb's Law?
According to Coulomb's law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
What is Coulomb's law formula?
The unit of the electrostatic force is Newton (N). Electrostatic force = (Coulomb constant) absolute value of (charge 1) (charge 2)/ (distance between charges)2.
F = (k * q1 * q2) / d^2
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Coulomb's law says that if you increase the charge on two objects, the force will:.
Coulomb's law says that if the charge of two objects increases, then the force will also double.
According to Coulomb's law, the attractive or repulsive force between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Coulomb force is also called electrostatic force or Coulomb interaction. Attraction or repulsion of particles or bodies due to electrical charges. Coulomb's law only describes the force between two point charges. The distributed charge can be viewed as the sum of infinite point charges, thus explaining the forces between two distributed charge systems.
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