The energy of the molecules in the ground increases in the given case when the temperature increases.
Convection and conduction are two ways that the Earth's heat is released.
Conduction takes place when the transferring of heat takes place from something hot to something cold.
On the other hand, convection takes place when the transferring of heat takes place by the movement of hot gases or liquids like water, air, or magma to a cooler region.
Near the surface of the ground, the convection of heat water results in the hot springs and geysers to shoot up into the air through a hole in the ground.
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8. Jax bounced a dodgeball off a wall. The dodgeball has a momentum of 32. 6 kg · m/s after the
collision. What is the total momentum of the system before the collision?
32. 6 kg m/s will be the total momentum of the system before the collision.
What does "collision" mean?In physics, a collision is any circumstance in which two or more bodies rapidly apply forces to one another.
Despite the fact that the most common usage of the word "collision" relates to instances in which two or more objects smash violently, the scientific usage of the word makes no such assumptions.
If most or all of the total kinetic energy from the collision is lost (dissipated as heat, sound, etc., or absorbed by the objects themselves), the collision is said to be inelastic; such collisions result in the objects coming to a complete stop. A collision involving a car serves as an example of this type of collision since cars fold inward rather than colliding with one another.
Briefing:pf = Final momentum of the system = 32.6 kg m/s
According to the principle of conservation of angular momentum we have
pi = pf => pi = 32.6 kg m/s
The wall is not moving so the initial and final momentum of the system are equal.
Therefore, the total momentum of the system before the collision is 32.6 kg m/s
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With the Sun and Moon in this position, what does the side of the earth facing the moon experience? ft Select one O A a normal high tide B. a neap high tide C. a spring high tide D. a spring low tide a neap low tide F a normal low tide age
With the Sun and Moon in this position, the side of the earth facing the moon experiences a spring high tide. Thus Option C is the answer.
A spring tide is a tide that occurs when the gravitational pull of the Moon and the Sun are in alignment. During a new moon or full moon phase, the gravitational pull of the Moon and the Sun combine to produce stronger than normal high tides and stronger than normal low tides. The term "spring tide" does not refer to the season of spring, but rather the tide's "springing forth" of water.
During a spring tide, the difference between high tide and low tide is at its greatest, and the water level rises higher and falls lower than during a neap tide. This is because the gravitational pull of the Moon and Sun are working together to produce the tide, rather than against each other. This results in a high tide that is higher than a normal high tide, referred to as a spring high tide.
It is important to note that spring tides occur twice a month, around the time of the new and full moon, when the Moon and Sun are in alignment.
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jordan wants to see if earthworms prefer rough or smooth terrain to crawl through. What will be his independent variable
The independent variable in this investigation is the type of surface which is changing whereas, the dependent variable is the mobility of earth worm.
What is independent variable?In a experiment or investigation, there are two types of variables which are dependent and independent variable. Dependent variable are those which are dependent on other variables and are changing with respect to other variables.
Independent variables are those not dependent on any other variables and we can change the independent variable to study the change in dependent variable.
Here, the one we studying is the mobility of earth worm which is the dependent variable and the type of surface rough or smooth is the independent variable.
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2.71 m and 4.4 m long and have masses of 69.5 kg and 100 kg, respectively. Calculate the total rotational kinetic energy of the two hands about the axis of rotation. Model the hands as lon
Answer:
1.04 x 10-3 J.
Explanation:
The total rotational kinetic energy of the two hands about the axis of rotation is calculated using the formula:
Kinetic Energy = 1/2 I ω2,
where I is the moment of inertia and ω is the angular velocity.
For this scenario, the moment of inertia is calculated by
I = 1/3 ML2,
where M is the total mass and L is the length of the arm.
Since the total mass of the two hands is 169.5 kg, and the length of the arms is 2.71 m and 4.4 m, the moment of inertia is calculated to be I = 5.35 x 10-5 kg m2. Substituting this value of I into the equation, the total rotational kinetic energy of the two hands about the axis of rotation is calculated to be 1.04 x 10-3 J.
Deviance has an effect on social power. How is this BEST demonstrated?
A. Powerful people in society keep their power by defining the laws of deviant behavior.
B. People with little power perform more questionable acts with fewer consequences than the more powerful people.
C. All groups that follow cultural norms tend to have a large amount of social power in society.
D. Someone who doesn't follow norms in a society always gains power because other people will rebel with them.
Deviance has an effect on social power. Then, Powerful people in society keep their power by defining the laws of deviant .
Forms of Deviant Behavior Deviant Behavior Based on NatureBased on the nature is divided into two kinds, namely negative behavior and positive behavior.
a. Positive deviant behavior
Positive behavior is deviant behavior that gives or has a positive impact on social life, because it has innovative elements and ideas that emerge are also creative, so as to enrich people's insights.
Positive behavior is also directed primarily at the values to be achieved together as well as social interests and is often considered as something ideal in society. Positive behavior will usually be accepted by society, because it is a form of development and adjustment to the times.
b. Negative deviant behavior
Negative behavior is the opposite of positive behavior.
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Answer:
a
Explanation:
Answer is needed as soon as possible!
The reaction below is conducted in a closed system.
Is the following reaction an endothermic or exothermic reaction?
Why is it that type of reaction?
N2+O2 -> 2NO+181kJ
This is an exothermic reaction because it releases energy in the form of heat (181kJ). When an exothermic reaction occurs, energy is released into the environment.
What is exothermic reaction?
An exothermic reaction is a chemical reaction that releases energy in the form of heat. This heat is released into the environment, making the surrounding area warmer.
Exothermic reactions can occur naturally and can also be artificially induced. Examples of exothermic reactions include burning fuels, neutralization reactions, and even certain biological processes.
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A continuous line of charge lies along the x axis, extending from x = +x0 to positive infinity. The line carries positive charge with a uniform linear charge density λ0. (a) What is the magnitude of the electric field at the origin?(b) What is the direction of the electric field at the origin?
The E = -kλo/xo is the magnitude of the electric field at the origin, negative sign the direction is towards the origin.
What is electric field ?
The force per unit charge imposed on a positive test charge that is at rest at a given position is mathematically defined as the electric field, which is a vector field that can be associated with any point in space.
What is magnitude ?
According to the physics definition, magnitude is just "distance or quantity." It demonstrates how an object moves as it is moving, including whether the movement is absolute, relative, or of a particular size. It serves as a means of describing the size or scope of something. Physicists use the word "magnitude" to indicate size or distance.
a)Lets take an element dx at x distance from origin
Field due to that element of origin; E = k*((λo)dx)/x2 (E = kq/r2)
Integrating from xo to ∞
E =integral( kλo/x2 dx )(xo to ∞)
E = -kλo/xo
b)As we have negative sign the direction is towards the origin
Therefore, E = -kλo/xo is the magnitude of the electric field at the origin, negative sign the direction is towards the origin.
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A camera draws 0. 25 amps and with 72 ohms. What voltage supply does this camera need?
A camera that draws certain current with specified resistance needs a voltage supply which is calculated to be 18 V.
Given that,
Current i = 0.25 A
Resistance r = 72 ohms
Voltage supply v = ?
From Ohm's law, it is defined that, voltage across the conductor is directly proportional to the current flowing through it. Mathematically, it is represented as v = i r
where,
v is the voltage
i is the current
r is the resistance
Putting in the values, we have,
v = i r
v = 0.25 × 72 = 18 V
Thus, the required voltage supply by the camera is calculated to be 18 V.
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A imple pendulum ha a period of 3 econd. If the value of ‘g’ i taken a 9. 98 m-2 calculate the length of the pendulum
Answer:
T (Period) = 2 π (L / g)^1/2 for a simple pendulum
L = g * T^2 / (4 π^2)
L = 9.98 m/s^2 * 9 s^2 / 39.5 = 2.27 m
1. What are the criteria for accepting a theory as a physical law?
A theory must meet certain requirements in order to be accepted as a physical law , 1. It must explain the available data 2. It need to offer hypotheses that can be verified by science.
A physical law outlines the broad relationships between and, when necessary, changes in the physical quantities that define the states of a physical system. Typically, this is described mathematically. These laws are also known as natural laws or are associated with them in the physical realm. A physical law applies with a very high probability when it falls within its scope of applicability. Physical experiments and observations that are specifically focused are used to test this validity range. The law is established if the outcomes match the predictions.
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A baseball player throws a ball giving it a change in momentum of 6. 5
kg. M
over 90 ms.
S
What is the magnitude of the net force on the ball?
A baseball player throws a ball which has a certain change in momentum. The magnitude of the net force on the ball is 72.22 N.
Given that,
Change in momentum Δp = 6.5 kg m/s
Time t = 90 ms = 90 × 10⁻³ s
Change in momentum can be written as,
Δp = m Δv = F×t
As we need net force on the ball,
Δp = F×t
Making F as subject and putting the values we have,
F = Δp/t = 6.5/(90 × 10⁻³) = 72.22 N
Thus, the required net force on the ball is calculated to be 72.22 N.
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If it takes 4 hours for the Hogwarts express, moving at a speed of 100 mi/hr,to make it from Platform 9 and 3/4 to Hogwarts,how far apart are they?
The distance between Platform 9 and 3/4 and Hogwarts at a speed of 100miles/hour is 400miles.
What is distance?Distance is defined as an object's total movement with or without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point. Distance can be measured as Speed multiplied by Time.
If it takes 4 hours from Hogwarts express, at a speed of 100mi/hr to Platform 9 and 3/4 to Hogwarts, using the formula;
Distance = Speed x Time
Distance = 100 miles/hour x 4 hours
Distance = 400 miles
Therefore, the distance to platform 9 and 3/4 from Hogwarts express is 400 miles.
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Mechanics sometimes use a piece of pipe to lengthen the handle of a wrench when trying to remove a very tight bolt. How does this make it easier for the mechanic to remove the bolt
Answer:
increase the length of the handle from the bolt, the torque will increase even if you have the same force
Explanation:
It allows them to apply more torque to the bolt. Torque is the turning or twisting force that causes rotation, in this case, it's applied to the bolt in an effort to loosen it. By lengthening the handle of the wrench, the mechanic is able to leverage more of their body weight and strength behind the wrench, increasing the torque they are able to apply to the bolt.
When a bolt is very tight, it can be difficult to turn it with a standard wrench. The increased torque provided by the longer handle allows the mechanic to apply more force to the bolt, which can help to loosen it. This can be particularly useful in situations where the bolt is corroded, rusted, or otherwise stuck due to a buildup of debris or other factors.
What pressure, in pascals, can you create by exerting a force of 480 N with your tooth on an area of 0.95 mm2
According to the given statement The pressure exerted by the tooth is 506,315.78 Pa.
What is pressure?Pressure is a measure of the force exerted on a surface per unit area. It is a scalar quantity and is measured in units of force per unit area, such as pascals (Pa), pounds per square inch (psi), or atmospheres (atm).
It can be calculated using the formula:
Pressure (Pa) = Force (N) / Area (m²)
Given that the force exerted is 480 N and the area of contact with the tooth is 0.95 mm^2, we can use the formula to find the pressure exerted:
Pressure (Pa) = 480 N / (0.95 x 10⁻³ m²)
To convert mm² to m², we divide by 10⁶
Pressure (Pa) = 480 N / (0.95 x 10⁻³ m²) = 506,315.78 Pa
Hence, the pressure exerted by the tooth is approximately 506,315.78 Pa.
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An electric heater draws a constant current of 6 amp, with an applied voltage of 220 V, for 24 h. Determine the instantaneous electric power provided to the heater, in kW
The instantaneous electric power provided to the heater will be 1.32 kW.
Electric power can be defined as the rate by which an electric circuit transfers the electrical energy. An electric heater is drawing a constant current which is equal to 6 ampere with an applied voltage of 220 volts for a duration of 24 hours.
To calculate the instantaneous power supplied to the electric heater,
Power = Voltage × Current
P = V × I
P = 220 × 6
P = 1320 W
To convert it into kW, we divide the value by 10³
= 1320/10³ = 1.32 kW
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Explain why a fish under water appears to be at a diffrent depth below the surface than it actually is does it appear deeper or shallower
A fish under water appears to be at a different depth than it actually is due to the refraction of light as it passes through the water.
When light travels through a medium with a different index of refraction, such as air to water, it bends, or refracts. This causes objects to appear displaced, or closer or farther away than they actually are. Because water has a higher refractive index than air, light bends more when it enters the water, causing objects, like fish, to appear closer to the surface than they actually are.
The result is that the fish will appear to be deeper in the water than it actually is.
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Suppose the particles in the preceding problem have masses The velocities of the particles are (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the four-particle system about the origin?
Part A: The angular momentum of each particle about the origin
The angular momentum of the first particle is -0.4 kg.m²/s.The angular momentum of the second particle is 0.The angular momentum of the third particle is 1.3 kg.m²/s.The fourth particle's angular momentum is 0.Part B: The total angular momentum of the four-particle system is 0.95 kg.m²/s.
The expression used to calculate angular momentum L is:
L = r x mv
Here, r is the position vector of the object m is the mass and v is the velocity vector.
According to the superposition principle, the resultant angular momentum due to many particles is the vector sum of the individual angular momentum.
L = L₁ + L₂ + L₃ + ...
Here, L₁ is the angular momentum of a particle, L₂ is the angular momentum of the particle, and so on.
In the question
Mass of a particle = 5.0 kg
vector r = (2.0i - 3.0j) m
vector v = (3.0i) m/s
Part A (seen in the picture for instruction)
For particle 1
The position vector is 2.0j m
Substitute 0.10 kg from m₁, 2.0j from r, and 2.0i m/s for v₁ in the expression of angular momentum
L = r x mv
L₁ = (2.0jm) x [(0.10 kg)( 2.0i m/s)]
L₁ = -4.0 kg.m²/s
The angular momentum for the first particle is -4.0 kg.m²/s.
For particle 2
Position vector is (2.0i - 2.0j) m
Substitute 0.20 kg from m₂, (2.0i - 2.0j) m from r, and (3.0i - 3.0j)m/s for v₂ in the expression of angular momentum
L₂ = (2.0i - 2.0j) m x [ (0.20 kg) (3.0i - 3.0j) m/s]
L₂ = 0
The angular momentum for the second particle is 0
For particle 3
The position vector is (-3.0i + 1.0j) m.
Substitute 0.30 kg from m₃, (-3.0i + 1.0j) m from r, and -5.0j m/s for v₃ in the expression of angular momentum
L₃ = (-3.0i + 1.0j) m x [((-3.0i + 1.0j) m) ( -5.0j m/s)]
L₃ = 1.35 kg.m²/s
The angular momentum for three particles is 1.35 kg.m²/s.
For particle 4
The position vector is 4.01i m.
Substitute 0.40 kg from m₄, 4.0i m from r, and -4.0i m/s for v₄ in the expression of angular momentum
L₄ = (4.0i m) x [(0.40 kg) (-4.0i m/s)
L₄ = 0
The angular momentum for four particles is 0.
Part B
Formula used: L = L₁ + L₂ + L₃ + L₄
The total angular momentum of the four-particle system is calculated as follows:
By superposition principle
L = L₁ + L₂ + L₃ + L₄
L = -4.0 kg.m²/s + 0 + 1.35 kg.m²/s + 0
L = 0.95 kg.m²/s
Hence, the total angular momentum of the four-particle system is 0.95 kg.m²/s.
Your question is incomplete but most probably your full question was:
Suppose the particles in the preceding problem have masses m₁ =0.10 kg, m₂=0.20 kg, m₃ = 0.30 kg, m₄ = 0.40 kg. The velocities of the particel are v₁= 2.0i m/s,v₂= (3.0i - 3.0j) m/s, v₃= - 1.5j m/s, v₄= -4i m/s.
(a) Calculate the angular momentum of each particle about the origin.
(b) What is the total angular momentum of the four-particle system about the origin?
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The centripetal force on object M as it passes
through the rest position is approximately
Since the particle always moves in a circular motion in a direction perpendicular to the radial direction.
The work done by the centripetal force in a circular motion is therefore always zero since the dot product is always zero. A force known as the centripetal force acts on a particle when it is revolving around a specific axis or point. The circular path's center is where this force is directed. The ideal decision is (d) Therefore, the body's weight will be equal to the centripetal force when the angular acceleration reaches the same level as the acceleration caused by gravity. It should be noted that for the centripetal force to equal the weight, there must be a uniform circular motion.
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A person weighing 500 N and a girl weighing 350 N are sitting on a board. The 50N- board is uniform and is supported at the center. The 500-N person is 1.5 m from the center, how far from the center should the girl sit so that the board is in equilibrium
The girl should sit 2.14 m from the center to keep the board in equilibrium.
What is equilibrium?
Equilibrium is a state in which the net force and net torque acting on an object are both equal to zero. This means that the object is either at rest or moving at a constant velocity. In other words, the object is not accelerating or rotating.
In order for the board to be in equilibrium, the sum of the forces acting on it must be equal to zero. Since the board is uniform and supported at the center, the only forces acting on it are the weights of the person and the girl.
To find the distance from the center that the girl should sit, we can set up the following equation:
F_net = 0 = (500 N)(1.5 m) - (350 N)(x)
where F_net is the net force acting on the board, x is the distance from the center where the girl is sitting, and the 1.5 m is the distance from the center where the person is sitting.
Solving this equation for x:
x = (500 N)(1.5 m) / 350 N = 2.14 m
Hence, the girl should sit 2.14 m from the center to keep the board in equilibrium.
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a large platform is initially at rest on a smooth surface. A dog on the platform starts running toward the east. The mass of the dog is one-half the mass of the platform. When the dog moves toward the east with a speed of v0, the platform moves toward the ____ with a speed _____.
Platform moves towards to west with a speed of v0/2 when the dog moves towards to east at a speed of v0, in accordance with the rule of conservation of momentum.
What is the straightforward meaning of speed?The speed at which an object's location changes in any direction. The distance travelled to the time needed to travel that distance is known as speed. Since speed only has a magnitude and no direction, it is a scalar quantity.
Is speed affected by acceleration?Acceleration is the method of changing a speed with which an object moves. If a substance's velocity does not change, it is not accelerating. Acceleration is a vector quantity.
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an object that falls twice as far will be moving twice as fast when it hits the ground. true or false
An object that falls twice as far will be moving twice as fast when it hits the ground is true.
Whath is object?
Objects are entities that have properties and state. They are the fundamental building blocks of a programming language. They are physical or abstract items that have a set of characteristics, such as a name, a type, and a value.Objects are items that can be seen and touched, such as a toy, a computer, a chair or a book. They are physical items that can be owned or interacted with. Objects can also exist in a virtual or abstract form, such as a software program or a mathematical concept. They can also be a combination of both, such as a website or a mobile app. Objects are made up of properties and behavior, which can be seen in the way they interact with other objects in the environment.
Objects can also contain other objects, known as properties. Objects can also have methods which are functions that can be performed on the object. Examples of objects in programming include variables, classes, functions, and arrays.
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How do you find the velocity of an object rolling down a ramp?
The object accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
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What is the KE of a 0.5 kg puffin flying at 22 m/s?
Important Formulas:
[tex]KE=.5mv^2[/tex]
Kinetic energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2
__________________________________________________________
Given:
[tex]m=0.5kg[/tex]
[tex]v=22m/s[/tex]
[tex]KE=?[/tex]
__________________________________________________________
Finding kinetic energy:
[tex]KE=.5mv^2[/tex]
[tex]KE=.5(0.5)(22)^2[/tex]
__________________________________________________________
[tex]\fbox{KE = 121 Joules}[/tex]
The kinetic energy of Flying pluff is 121 KJ.
What is Kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. The body exerts the same amount of effort when slowing down from its current pace to a condition of rest.
Formally, a kinetic energy is any term that includes a derivative with respect to time in the Lagrangian of a system. According to classical physics, an object with mass m moving at a speed of v has kinetic energy equal to mv2.
Therefore, The kinetic energy of Flying pluff is 121 KJ.
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You are on an airplane traveling with a constant velocity at an altitude of 20,000 m. What is the acceleration of gravity at that altitude
Correct option is C) the acceleration of gravity at that altitude is 9.75m/s².
What is the gravity's acceleration?
The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s2.
The following formula is used to determine the acceleration of gravity:
g= GM/r2
What G The general gravitational constant is what it is.
G is equal to 6.674x10⁻¹¹ Nm2/kg2, and M is the earth's mass:
M = 5.972x10²⁴kg
The radius of the earth plus the airplane's altitude, or r, is the distance from the earth's center in this case:
r = 6.37x10⁶ m + 20000 m equals 6.39x10⁶ m
Consequently, the acceleration in g is equal to:
(6.674x10⁻¹¹ Nm²/kg²)(5.972x10²⁴ kg) / (6.39x100m)₂
g = 9.75m/s²
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Complete Question -
You are on an airplane traveling with a constant velocity at an altitude of 20,000m. What is the acceleration of gravity at that altitude? The earth's radius is 6.37 x 10^6m.. . A) 9.81 m/s^2. B) 9.78 m/s^2. C) 9.75 m/s^2. D) 9.72 m/s^2. E) 9.69 m/s^2.
An object that is moving in a circle at a constant speed has a velocity vector that is directed ________and an acceleration vector that is directed ________.
A directed velocity vector and a directed velocity acceleration vector characterise an item travelling in a circle at a constant speed.
When an item is travelling in a circle at a constant speed, what is its acceleration?Consequently, an object travelling in a circle at constant speed is speeding up its approach to the circle's centre. Centripetal acceleration is the term used to describe the speed toward the centre of the circle.
What happens to an object's velocity when it rotates in a circle at a constant speed?There is a fluctuating velocity for an object in a circular orbit travelling at a constant speed. Considering that velocity is a vector quantity that depends on both speed and direction, this makes sense. Accelerating is the object in orbit.
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Press the hotspot that indicates the location that a string will experience the least tension during vertical circular motion. Assume that the speed of the ball remains constant.
which one will experience the least tension t3 t2 t1 or t4
The least tension will be experienced by T3
The weight of a moving object causes tension, which is the force applied along the length of a string, rope, or cable. The force that maintains an object moving in a circular direction when it is in a vertical circular motion is called tension. Perpendicular to the circle's radius, the tension in the string is pointed in the direction of the circle's centre.
Due to the centripetal force required to maintain the object moving in a circular motion, the tension in the string varies as the object moves in a vertical circle, with the highest tension occurring at the top of the circle and the least tension occurring at the bottom. In the given case, T3 will experience the least tension during vertical circular motion, assuming that the speed of the ball remains constant. This is because T3 is the point on the string that is closest to the circle's centre, and thus is subject to the least amount of tension as the ball moves in a vertical circle.
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Find the gravitational force between Jupiter and its natural satellite Callisto. The mass of Jupiter is
1.99 x 10^27 kg and the mass of Callisto is 1.08 x 10^23 kg. The distance between Jupiter and
Callisto is 1.88 x 10^9m.
The gravitational force between Jupiter and its natural satellite Callisto is 3.76×10∧21 Newton.
What exactly is the gravitational force?The attraction force that exists in between two masses is directly proportional to the product of their mass and is inversely related to the square of the distance between them, according to Newton's universal law of gravitation.
The mass of Jupiter is 1.99 x 10^27 kg
the mass of Callisto is 1.08 x 10^23 kg
By using the formula
F = G M1×M2/ r²
(G = 6.67×10∧-11 )
F = ( 6.67×10∧-11 ×1.99 x 10^27 × 1.08 x 10^23 ) / (1.88 x 10^9)²
F = (13.28×10∧39)/3.534×10∧18
F =3.76×10∧21 Newton.
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Matt i a 85kg lifeguard, he lide down a water lide that i inclined at 35 degree to the horizontal into a wimming pool. If the coefficient of kinetic friction of the lide i 0. 9. What i Matt’ rate of acceleration a he goe down the lide
The rate of acceleration at which Matt goes down the slide is equal to 5.32 m/s².
The normal force or [tex]F_{N}[/tex] acts perpendicular to the object.
The angle of inclination = 35°
cosθ = [tex]F_{N}[/tex]/mg
[tex]F_{N}[/tex] = mgcosθ = 85 × 10 × cos 35
= 850 × 0.819 = 696.15 N
To find the force of friction,
μ = 0.050
[tex]F_{f}[/tex] = μ × [tex]F_{N}[/tex]
= 0.050 × 696.15 = 34.80 N
To find the downward component of weight that pulls him down the slide.
sinθ = [tex]F_{d}[/tex]/mg
[tex]F_{d}[/tex] = mgsinθ
= 85 × 10 × sin35
= 850 × 0.5736 = 487.56 N
To find the acceleration,
[tex]F_{net} = F_{d} - F_{f}[/tex]
= 487.56 - 34.80 = 452.76 N
To solve for acceleration,
F = force = 452.76 N
m = mass = 85 kg
Force = mass × acceleration
a = F/m = 452.76/85 = 5.32 m/s²
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an explorer walks 22 km north, then 47 km at 55o south of east. what is her resultant displacement?
Answer:
Below
Explanation:
Vertical components
22 - 47 sin 55 = - 16.5 km
Horizontal components
47 cos 55 = 26.96
Use Pythagorean Theorem
d^2 = (-16.5)^2 + 26.96^2
d = 31.6 km
Let be the function graphed below. If three subintervals of equal length are used, draw rectangles whose area represents a midpoint Riemann sum approximation of f(x) dx. Width of each subinterval: 90 35 30 15 10 5 3 4 5
If three subintervals of equal length are used to do midpoint Riemann sum approximation of ∫f(x)dx from 3 to 6, then width of each subinterval is 1.
To find the midpoint Riemann sum, you first need to divide the interval of integration (from 3 to 6) into three subintervals of equal length. You can choose subintervals of equal length manually by dividing the interval of integration into smaller parts. If we let the width of each subinterval be x, then the length of the interval is 6-3 = 3 and the length of each subinterval, x is 3/3 = 1.
Then, you need to find the midpoint of each subinterval by adding the left and right endpoint of each subinterval and dividing by 2.
For example, the first subinterval is from 3 to 4, so the midpoint is (3+4)/2 = 3.5
the second subinterval is from 4 to 5, so the midpoint is (4+5)/2 = 4.5
and the third subinterval is from 5 to 6, so the midpoint is (5+6)/2 = 5.5
To approximate the area under the curve of f(x) for each subinterval, you can use the value of f(x) at the midpoint of each subinterval and multiply it by the width of the subinterval.
--The question is incomplete, answering to the question below--
"Let f be the function graphed below. If three subintervals of equal length are used, draw rectangles whose area represents a midpoint Riemann sum approximation of ∫f(x)dx from 3 to 6. Width of each subinterval is ____."
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