The relative motion of gaseous particles increases with increase in the temperature of the gas molecules just like the motion of popcorn in a popper increases when heat is applied to the popper.
What is kinetic theory of gas?The kinetic theory of gases or matter states that matter consists of tiny particles which are constant motion, colliding with one another and with walls of the containing vessels.
Just like a popcorn in a popcorn popper pops when heat is applied to the popper, gases contained in a cylinder increases their speed when they acquire more kinetic energy as the temperature of the cylinder increases.
Thus, the motion of gas particles depends on the temperature of the containing vessel so also does the random motion of popcorn depends on the temperature of the popper.
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Air is approximately 21% o2 and 78% n2 by mass. Calculate the root-mean-square speed of each gas at 273 k.
The root square method of the gas at 273 K is given as 493.15 for N2 and 461.3 for O2
How to solve for the root mean square methodWe have to know that the root square method is dependent on the direct proportionality to the square root of absolute temperature as well as inverse of molar mass.
We have 1 j = 1 kgm²/s²
Vrms = √3rt/Mm
R = gas constant
T = temperature = 273
Mm is the molar mass
The molar mass of N₂ is = 0.02800 kg / mol
The mo;lar mass of o₂ = 0.03200 kg / mol
We have to solve first for N₂
= √3 (8.32447 * 273 / 0.028000
= √243,198.247
= 493.15
For 02
Vrms = √3 * 8.31447 * 273 / 0.03200
= √212798.466
= 461.3
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An explanation for planetary differentiation is_____________. question 5 options: all the planets are different colors and some have life, while others do not different scientist are chosen to explore planet similarities is the separation of different constituents of planetary materials resulting in the formation of distinct compositional layers. denser material tends to sink into the center and less dense material rises toward the surface. planets have different orbits around the sun and therefore consist of varying elements
One hypothesis for planetary differentiation is the process through which various layers with diverse chemical and/or physical features arise.
A planet's trajectory around a star, a natural satellite's path around a planet, or an artificial satellite's course around a space object or place, such as a planet, moon, asteroid, or Lagrange point, are examples of orbits in celestial mechanics.
A spacecraft, planet, moon, star, or other object travels on a curved route called an orbit when it is dragged by the gravity of another object.
The force of gravity is what pulls objects with mass in space. An orbit is a path an object follows as it travels around a certain location in space, such as the Moon's orbit of the Earth.
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__ is the rate at which an object changes position
Velocity is the rate at which an object changes position.
___________________________________________
"What is velocity?"Velocity is a vector quantity that refers to "the rate at which an object changes its position."
Hope this helps!
Want to learn more? Visit below for more information about velocity.
Look up "Speed versus Velocity" at The Physics Classroom.com
A 6 kg object experiences a 5 m/s² acceleration? Find the force that
caused this acceleration.
Answer:
F=ma
F=6kg×5m/s^2
F=30kgm/s^2
F=30newton
Which statement best describes the process of alpha decay? (1 point)
O An unstable nucleus rearranges its particles and releases energy.
O An unstable nucleus releases a single positively charged particle.
O An unstable nucleus releases an electron.
O An unstable nucleus releases a particle containing two protons and two neutrons.
Two protons and two neutrons are both present in the particle that an unstable nucleus releases.
What does alpha decay mean?The nuclear process known as "alpha decay" results in the parent nucleus emitting an alpha particle. The alpha particle, represented by the Greek letter and physically similar to the helium atom's nucleus, is made up of two protons and two neutrons.
Which statement about alpha decay is accurate?What statement about deterioration is true? It brings down the atomic number of the nuclide by 2. The daughter nuclide, which frequently doesn't undergo further decay since the parent nuclide is unstable, is created during radioactive decay.
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a strechy material with a spring constant of 68.7 n/m is stretched 2.71 cm from its equilibrium length. what is the magnitude of the resulting spring force?
The magnitude of the resulting spring force when the material is stretched from its equilibrium position is -0.02522 N.
The spring force is a spring or a stretchy material is given by the formula,
F = -1/2Kx²
Where z
F is the spring force,
K is the spring constant,
x is the compression or extension in the material,
The negative sign represent that the force is restoring in nature.
We know, in our case,
The extension in the material is 2.71cm.
1 cm = 1/100m
So,
2.71 cm = 2.71/100m
The spring constant is 68.7N/m.
Now, putting all the values,
F = 1/2Kx²
F = -1/2(68.6)(2.71/100)²
F = -0.02522N.
So, the spring force is 0.02522N.
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a 95 kg man lying on a surface of negligible friction shoves a 74 g stone away from himself, giving it a speed of 4.0 m/s. what speed does the man acquire as a result?
As a result of the law of conservation of momentum, the man will acquire a speed of 3 . 10⁻³ m/s
The law of conservation of momentum states thta:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Where:
u₁ , u₂ = initial velocity of object 1 and object 2
v₁ , v₂ = final velocity of object 1 and object 2
Since both the man and the shove are initially at rest, hence u₁ , u₂ = 0.
Therefore,
m₁v₁ + m₂v₂ = 0
Parameters given:
m₁ = 95 kg
m₂ = 74 gram = 74 . 10⁻³ kg
v₂ = 4 m/s
Plug these parameters into the equation:
95 . v₁ + 74 . 10⁻³ . 4 = 0
v₁ = 3 . 10⁻³ m/s
Hence, the man acquire a speed of 3 . 10⁻³ m/s, which is very small.
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Physics Trajectory question.
I need help finding the answers on Vy.
The vertical component of the velocity after the given interval of time will be:
B: -9.8 m/s
D: -19.6 m/s
F: -29.4 m/s
H: -39.2 m/s
What is a projectile?A projectile can be described as any object upon which the only force is gravity. The projectile travels with a parabolic trajectory because of the influence of gravity. No horizontal forces are acting upon projectiles so there is no horizontal acceleration.
The horizontal velocity of a projectile is constant and the vertical acceleration is caused by gravity. The vertical component of the velocity of a projectile changes by 9.8 m/s each second while the horizontal motion of a projectile is independent of its vertical motion.
Given, the initial horizontal velocity, vₓ = 18 m/s
The initial vertical velocity, Vy = 0 m/s
The time interval = 1 sec
The vertical component of the velocity is calculated as;
[tex]V_y = V_{0y} -gt[/tex]
[tex]V_y = 0- (9.8) (1)\\V_y = -9.8 m/s[/tex]
The vertical component when t = 2 sec and horizontal velocity, Vx = 18 m/s
[tex]V_y = 0- (9.8) (2)\\V_y = -19.6 m/s[/tex]
The vertical component of velocity when t = 3sec:
[tex]V_y = 0- (9.8) (3)\\V_y = -29.4 m/s[/tex]
The vertical component of velocity when t = 4sec:
[tex]V_y = 0- (9.8) (4)\\V_y = -39.2 m/s[/tex]
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Please help meee I really need help on this one. 30 points! And brainliest
a. the amount of work done is __________(equal to, greater than, less than) the amount of energy used
b. power is the rate of __________ (energy use, work done, force)
c. the greater the work done. the _________(equal, greater, smaller) power needed
d. The two factors that affect the amount of work done are _________ and ______________(mass, force, power, length, with, displacement)
choose the correct answer from the parentheses for each sentence
a) The amount of work done is equal to the amount of energy used.
b) Power is the rate of energy use/work done .
c) The greater the work done. The greater the power needed.
d) The two factors that affect the amount of work done are force and displacement .
Energy is the ability to perform work. Work and energy are related in that an increase in work results in an increase in energy, and vice versa. Power is defined as the rate at which work is completed or the amount of work completed per unit of time. Power is also defined as the rate at which energy is supplied to the system.
Power depends mainly on the amount of work done as well as the time taken by the body to perform the work.
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While in a park, you walk west for 52 m, then you walk 31.1° north of west for 40 m, and finally you walk due north for 25 m. Find the components of your final displacement (in m), from your initial to final point, along the north and west directions.
The components of the final displacement (in m), from the initial to final point, along the north and west directions is given as:
88m west and 50m north
What is displacement?The displacement of an object is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion.
we will find the components of each vector in x and y:
For Vector 1:
Fx = 52m
Fy = 0m
for Vector 2:
Fx = 40m*cos31.1
Fy = 40m * cos 31.1
For Vector 3:
Fx = 0m
Fy = 25m
we will then find the components of the final displacement acting in x and y:
For west direction:
Rx = 52m + 40m*cos31.1 + 0
Rx = 90m
For north direction:
Ry = 0 + 40m*sin31.1 + 25m
Ry = 12m.
In conclusion, displacement is a vector quantity that refers to how far out of place an object is. Displacement is known to be the object's overall change in position.
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Arthur walks 3 km north, and then turns east and walks 4 km. What is distance traveled and his displacement?
The distance travelled by Arthur is 7 km and his displacement is 5 km.
What is the distance covered by Arthur?
The distance travelled by Arthur during the entire motion is determined by summing the entire path covered during the motion.
Distance = 3 km + 4 km
Distance = 7 km
The displacement of Arthur during the entire motion is obtained by calculating the length of the shortest path between the initial and final position.
d = √(a² + b)
where;
a is the northward motionb is the eastward motiond = √(3² + 4²)
d = 5 km
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How can we simplify the analysis of the state of motion of an object?
Answer:
The speed and direction of motion can be changed by applying force on an object and thus a force can bring a change in the state of motion of an object.
A forklift raises a crate weighing 8.35 × 102 newtons to a height of 6.0 meters. What amount of work does the forklift do?
Answer:5110.2 joule
Explanation:Weight of the crate:- 8.35 x 102 N
Height to which the forklift lift the crate:- 6.0 M
Work done by the forklift=F.d
F=Gravitational Force =m.g
d=height=h
Work w=m.g.h
m.g=8.35 x 102 N
h=6.0 M
w=8.35x102N x 6.0M
w=5110.2NM
w=5110.2joule
a parallel-plate capacitor is connected to a battery. the energy of the capacitor is u0 . the capacitor is then disconnected from the battery and the plates are slowly pulled apart until the plate separation doubles. the new energy of the capacitor is u . find the ratio u/u0 .
The ratio u/u0 : 1/2
As the distance is doubled and the battery is connected, we know that Capacitance is given by: [tex]C= \frac{\epsilon_0 A}{d}[/tex]
As the distance between the plate is doubled, C will become: [tex]C= \frac{\epsilon_0 A}{2d} = \frac{C}{2}[/tex]
Now, as the battery is connected, Voltage will remain constant, therefore Charge Q will become: [tex]Q=\frac{CV}{2}[/tex]
The energy before doubling the distance between the plates was, U0 :
[tex]U_0 = \frac{1}{2}QV = \frac{1}{2}CV^2[/tex]
After doubling the distance, the Energy will become U:
[tex]U = \frac{1}{2}QV = \frac{1}{4}CV^2[/tex]
Therefore, the ratio will be:
[tex]\frac{U}{U_0} = \frac{\frac{1}{2}CV^2}{\frac{1}{4}CV^2} = \frac{1}{2}[/tex]
What is capacitor ?A capacitor is a bipolar electrical device that can store energy in the form of an electrical charge. It consists of two electrical conductors separated by a distance. The space between the conductors can be filled with a vacuum or an insulating material known as a dielectric. The ability of a capacitor to store charges is called capacitance. Capacitors store energy by keeping opposite charges away from each other. The simplest model of a capacitor is a parallel plate, which consists of two metal plates with a gap between them. However, different types of capacitors are manufactured in different shapes, styles, lengths, circumferences and materials.
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What number should be placed in front of HCI balance this chemical equation?
Zn + ___HCI ZnCI2 + H2
A. 1
B. 4
C. 2
D. 3
Coefficient 2 should be placed in front of HCl to balance the given chemical equation.
What is chemical equation?
Chemical equation is a symbolic representation of a chemical reaction which is written in the form of symbols and chemical formulas.The reactants are present on the left hand side while the products are present on the right hand side.
A plus sign is present between reactants and products if they are more than one in any case and an arrow is present pointing towards the product side which indicates the direction of the reaction .There are coefficients present next to the chemical symbols and formulas .
The first chemical equation was put forth by Jean Beguin in 1615.By making use of chemical equations the direction of reaction ,state of reactants and products can be stated. In the chemical equations even the temperature to be maintained and catalyst can be mentioned.
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A rock hits the ground with a speed of 6.2m/s and a kinetic energy of 113.J. What is the rock’s mass in Kilograms?
The mass of the rock with a kinetic energy of 113J and a speed of 6.2m/s is approximately 5.88 kilograms.
What is the mass of the rock?Kinetic energy is simply the energy a body possesses due to its motion;
It is expressed as;
K.E = 1/2 × m × v²
Given the data in the question;
Kinetic energy K.E = 113J = 113kgm²/s²Velocity of the rock v = 6.2m/sMass of the rock = ?To determine the mass of the rock, plug the given values into the Kinetic energy formular and solve for m.
K.E = 1/2 × m × v²
113kgm²/s² = 1/2 × m × ( 6.2m/s )²
113kgm²/s² = 1/2 × m × 38.44m²/s²
113kgm²/s² = m × 19.22m²/s²
m = 113kgm²/s² / 19.22m²/s²
m = 5.88kg
Therefore, the mass of the rock is 5.88 kilograms.
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pls the answer.........................................................................................................................
a) The motion of the motorcyclist is a uniform motion
b) The distance is 600 m
c) The speed is 20 m/s.
What is the motion?We now that motion has to do with the change in the position of an object with time. In this case, we have the graph that described the motion of the motorcyclist . It is clear that the distance is increasing in equal amounts, in equal time intervals thus this is a uniform motion.
Looking at the graph, we can see that the motorcyclist covers 600 meters of distance within 30 seconds.
We can obtain the speed as the ratio of the distance to the time or the slope of the graph. Hence the speed is obtained from;
Speed = distance / time
Using the slope concept;
[tex]y_{2} - y_{1} /x_{2} - x_{1}[/tex]
= 600 - 0/30 - 0
= 20 m/s
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What is the equation for calculating the electrical force, Fe1, between two charges?
The equation for calculating the electrical force between two charges is: F = Kq₁q₂ / d²
How to determine the equationConsidering the options given in the question, we can obtain the equation for calculating electrical force as shown.
Coulomb's law states as follow:
F = Kq₁q₂ / d²
Where
F is the electrical force of attraction / repulsion K is the electrical constant q₁ and q₂ are two point charges d is the distance apartWith the above equation, we can easily determine the force between two charges.
For example find the force between two charges of charge 1 C and 2 C which are 1.5 m apart.
We can obtain the force as follow:
Charge 1 (q₁) = 1 CCharge 2 (q₂) = 2 CElectric constant (K) = 9×10⁹ Nm²/C²Distance apart (r) = 1.5 mForce (F) =?F = Kq₁q₂ / d²
F = (9×10⁹ × 1 × 2) / (1.5)²
F = 18×10⁹ / 2.25
F = 8×10⁹ N
Thus, we can see clearly that the equation F = Kq₁q₂ / d² can be use to calculate the force between t two charges.
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It doesn't need arto lift off
4. What forces are acting on a book sitting on a table? Are action-reaction forces involved
in this situation?
5. If two people each standing on a scooter board push off of each other what happens
(relate to Newton's Third Law)?
6. In # 5 how would the distance moved by the scooter boards compare if one person had a
lot more mass than the other person?
7. If a person standing on a scooter board pushes off of a wall, what happens? Can this
situation be explained in terms of Newton's Third Law (action-reaction)?
8. How is shooting a shotgun related to Newton's Third Law?
9. Why does a rifle have less "kick" than a shotgun?
They will go off in opposite directions with the same force.
What is Newton's third law?
Newton's third law states that if object A exerts a force on object B, then object B must apply a force to object A that is equal in magnitude and directed in the opposite direction. This law illustrates a symmetry in nature whereby forces always occur in pairs and whereby no body can exert a force without also being subjected to one.
Newton's Third Law states that for every action, there is an equal but opposite reaction. If two people are standing on a scooter and push off each other (following the Law), it should come to the conclusion that they could go off in opposite with the same force.
Person is exiting for (describe in Newton's third law) against the wall that then has an effect on the person pushing them bac
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If a person standing on a scooter board pushes off of a wall, what happens? Can this
situation be explained in terms of Newton's Third Law (action-reaction)?
A baseball has a mass of 2.5 kilograms. If the acceleration due to gravity is 9.8 m/s2 , what is the weight of the baseball in newtons?
A. 20.0 N
B. 3.9 N
C. 10.5 N
D. 24.5 N
Answer: D. 24.5 N
Explanation:
Fgrav = mg
Fgrav = 2.5(9.8)
Fgrav = 24.5 N
what velocity must a car with a mass of 1260 kg have in order to have the same momentum as a 2240 kg pickup truck traveling at 24 m/s to the east? answer in units of m/s
The velocity of the car is 46.48 m/s.
What is velocity?
velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.
Sol- The linear momentum of a body is defined as the product of its mass and its velocity, given by-
P = mv
According to the question the momentum of the truck is-
Pr=2250×25 kgm /s
Pr=56250 kgm/s
Now we can see the momentum of the car and the truck must be same that is Pc=Pr
1210×v =56250 kgm/s
v= 56250/1210
v= 46.48 m/s
Thus the velocity of the car is 46.48m/s .
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air is moving at a velocity of 8 m/s through a hoop with cross sectional area of 100.0 m2. if the density of the air is 1.2 kg/m3, what mass flow rate of air is moving through the hoop (in kg/s)?
In consideration of Henry's law the molar mass of organic compound is 0.24 grams.
What is molar mass?
The mass of a sample of a chemical compound divided by the quantity, or number of moles in the sample, measured in moles, is known as the molar mass of that compound. What is the mass of water in grammes and how much Equis paper with a 12.5% sodium chloride content weighs at 55 degrees Celsius, according to Sol-One of three? His issue informs us that pure water has a specific gravity of 118 torr at 55 degrees Celsius. Therefore, the first task at hand is to determine the mole fraction of, I suppose, the thermal fractions of both water and sodium chloride.
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In an arena football game, the quarterback throws a pass so that it reaches the top of the stadium at the peak of its flight. If he threw the ball at an angle of 64 degrees and the stadium is 34 meters high, calculate the velocity with which he threw the ball and the distance the ball traveled.
Formulas for projectile motion:
Maximum height of projectile, h = [tex](u sin(\alpha )^{2}[/tex] / 2g
Horizontal range of projectile, R = [tex]u^{2}[/tex] sin(2α) / g
where u is the initial velocity, α is the angle of projection, and g is the acceleration due to gravity.
Given:
Angle of projection, α = 64°
Maximum height of projectile, h = 34 m.
To find: Initial velocity (u), and horizontal distance travelled (R).
Rearrange 'h' equation for 'u',
u sin(α) = [tex]\sqrt{2gh}[/tex]
⇒ u = [tex]\frac{\sqrt{2gh} }{sin(\alpha )}[/tex]
Substitute given values.
⇒ u = [tex]\sqrt{2*(9.8m/s^{2}*34m }[/tex] / sin(64°)
⇒ u = 25.81 / 0.899 m/s
∴ u = 28.71 m/s
This is the velocity with which the ball was thrown.
The distance travelled by the ball can be calculated by using the equation,
R = [tex]u^{2}[/tex] sin(2α) / g
Substitute the given values.
⇒ R = ([tex]28.71^{2}[/tex]× sin (2×64°)) / 9.8
⇒ R = 649.53 / 9.8
∴ R = 66.27 m.
This is the distance travelled by the ball.
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True or false? The period of an AC supply is equal to the time between an adjacent peak and trough on an oscilloscope trace.
Answer:
false
Explanation:
the time period is for a whole cycle of the wave, so peak-to-peak on an oscilloscope trace.
does increasing the magnitude of a uniform magnetic field through which a charge is traveling necessarily mean increasing the magnetic force on the charge? does changing the direction of the field necessarily mean a change in the force on the charge?
Since the magnetic force and velocity are orthogonal, the velocity only changes in direction but not in magnitude . Circular motion is the end consequence. The force is in the opposite direction from the right-hand rule and has a negative charge.
Uniform In circular motion, an object moves in two dimensions with a constant speed in a fixed circular direction; however, because the object's direction changes at every point, the velocity also changes, and the direction at each point is always the tangent.
In physics, magnetic force is referred to as an object's maximal size and direction. Both vector and scalar values use magnetic force as a common factor. We understand that by definition
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Answer: The velocity simply changes in direction, not magnitude, as the magnetic force and velocity are orthogonal.
Explanation: The velocity simply changes in direction, not magnitude, as the magnetic force and velocity are orthogonal. The resultant motion is circular. The force has a negative charge and is directed in the opposite direction from the right-hand rule.
Uniform In a circular motion, an item moves in two dimensions with a constant speed in a fixed circular direction; yet, because the object's direction varies at each point, the velocity also alters, and the direction at each point is consistently the tangent.
As an object's maximum size and direction, the magnetic force is referred to in physics. Magnetic force is a factor that is present in both scalar and vector values. We comprehend that by nature.
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_______ energy is defined as stored energy.
Answer:
Potential energy
Explanation: Potential energy is represented as a stored energy.
What is the speed of a rocket that starts with a speed of 120m/s and slows down at a rate of 22m/s2 for 4 seconds?
The final speed of the rocket, given it started with a speed of 120 m/s and slows down at a rate of 22 m/s² for 4 seconds is 208 m/s
How do I determine the final speed?From the question given above, the following parameters were obtained:
Initial speed (u) = 120 m/sAcceleration (a) = 22 m/s²Time (t) = 4 secondsFinal speed (v) =?The final speed of the rocket can be obtained as follow:
v = u + at
v = 120 + (22 × 4)
Clear bracket
v = 120 + 88
v = 208 m/s
Thus, we can conclude from the calculation above that the final speed of the rocket is 208 m/s
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a car with a mass of 1,060.0 kg accelerates from 0 to 88.0 km/h in 10.0 s. the driver applies the brakes when the car is moving at 88.0 km/h, and the car comes to rest after traveling 46.0 m. what is the net force (in n) on the car during its deceleration? (assume the car is traveling in the positive direction. indicate the direction with the sign of your answer.)
A car with a mass of 1,060.0 kg accelerates from 0 to 88.0 km/h in 10.0 sec .The net force (in n) on the car during its deceleration is F = 7812.5 N.
Given
m= 1000 kg
u= 0 m/s
V = 90 km/h = 25m/s
t = 10 sec
a)by equation of motion :
v = u+at
25 = 0+ ax10
a = 2.5 m/c2
( b )By newton's law;
F= m*a
F=100X 2.5
F =2500N
( C )
u= 25m/s
V = 0
S = 40m
by equation of motion ;
v² = u²+2as
0=25²+80a
a=-7.8125 m/s²
by newton's law
F= m*a
F= 1000X 7.8125
F = 7812. 5N
A higher level motion control operation than velocity control is the control of acceleration and deceleration. Given that torque is the result of inertia and rate of altered speed, the system's forces will be affected by the rate of acceleration or deceleration. Any force calculation of this kind must take into account the actuator's or motor's inertia because it can significantly affect the torque needed. Control performance will also be impacted by the acceleration or deceleration profiles used. A motor needs linear acceleration in order to transition smoothly from one velocity to the next until the desired speed is reached. The rates of change, on the other hand, depend on both position and velocity when acceleration follows a non-linear, curved profile.
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a small container of water is placed on a carousel inside a microwave oven, at a radius of 12.5 cm from the center. the turntable rotates steadily, turning through one revolution each 7.45 s. what angle does the water surface make with the horizontal?
θ = 0.0090 degree is the angle does the water surface make with the horizontal
At a radius of 12.5 cm from the center, or r = 13.5 cm, a tiny container of water is positioned on a rotating carousel within a microwave oven.
Time for every rotation is 7.15 seconds.
Fc=mrω^2
Fc=mr(2 π/T^2)^2
Fc=m12.5x10^-2(2 π/7.45)^2.....(1)
Gravitational force is caused by:
Fg=mg
Fg=mx9.8........(2)
Letθ is the angle between the water's surface and the horizontal be. Equations (1) and (2) can be used to compute it as follows:
tanθ=Fc/Fg
tanθ=m12.5x10^-2(2 π/7.45)^2/mx9.8
tanθ=0.0090
θ=0.0090 degree
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Answer: The angle between the water's surface and the horizontal is = 0.0090 degrees.
Explanation: The angle between the water's surface and the horizontal is = 0.0090 degrees.
A little container of water is placed on a revolving carousel within a microwave oven at a radius of 12.5 cm from the center, or r = 13.5 cm.
7.15 seconds pass throughout each revolution.
Fc=mrω^2
Fc=mr(2 π/T^2)^2
Fc=m12.5x10^-2(2 π/7.45)^2....(1) (1)
There is a gravitational force because of:
Fg=mg
Fg=mx9.8........(2)
Take as an example the angle formed by the water's surface and the horizontal. It can be calculated using Equations (1) and (2) as follows:
tanθ=Fc/Fg
tan = (m12.5x10-2(2 /7.45)/mx9.8)
tanθ=0.0090
0.09 degrees.
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a satellite is in a circular orbit around an unknown planet. the satellite has a speed of 1.31 x 104 m/s, and the radius of the orbit is 3.88 x 106 m. a second satellite also has a circular orbit around this same planet. the orbit of this second satellite has a radius of 9.96 x 106 m. what is the orbital speed of the second satellite?
The orbital speed of the second satellite with same centripetal force is 2.1 x 10⁴ m/s.
We need to know about centripetal force to solve this problem. The centripetal force is a force caused by moving objects in a circular motion. The magnitude of the centripetal force depends on tangential speed, mass and radius. It can be written as
Fc = m . v² / r
where Fc is the centripetal force, m is mass, v is tangential speed and r is the radius.
From the question above, we know that
Fc 1 = Fc 2 = Fc
m1 = m2 = m
v1 = 1.31 x 10⁴ m/s
r1 = 3.88 x 10⁶ m
r2 = 9.96 x 10⁶ m
Hence, the ratio of centripetal force is
Fc2 / Fc1 = (m2 . v2² / r2) / (m1 . v1² / r1)
v1² / r1 = v2² / r2
(1.31 x 10⁴)² / 3.88 x 10⁶ = v2² / 9.96 x 10⁶
v2² = 4.41 x 10⁸
v2 = 2.1 x 10⁴ m/s
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