Using the theories of centripetal acceleration, we got that 9.388 sec after the starting magnitude of its centripetal acceleration equal to the tangential acceleration.
We know that centripetal acceleration is given by =v²/r,
where v is the velocity along curved road and r is the radius of the curved road.
We have from the question, Acceleration (a) = 1.7m/sec²
Radius(R) = 150 m
Therefore,
a=v²/r
=>1.7=v²/150
=>v²=1.7×150
=>v²=255.0
=>v = 15.96 m/sec
Now, we know that the formula for tangential acceleration is the product of acceleration and its time ,which means
v = a x t
15.96 = 1.7 x t
t = 9.388 sec.
Hence, if the car speeds up at a steady 1.7 m/s2 , the time after starting when the magnitude of its centripetal acceleration equal to the tangential acceleration is 9.388 sec
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Tony wants to figure out which materials conduct heat better than others. To do this, he fills cups that are made out of different materials with equal amounts of ice water. He then keeps track of how much time it takes the ice to completely melt in each cup. His results are below.
Time for Ice to Melt
Cup Material Time to Melt
plastic 32 minutes
glass 21 minutes
aluminum 15 minutes
foam 38 minutes
Which material was the best conductor of heat?
The material that is the best conductor of heat is aluminum which takes 15 minutes to melt the ice water.
Time taken by different materials to melt ice,
Plastic = 32 minGlass = 21 minAluminum = 15 minFoam = 38 minThe order of better conductors is,
Aluminum > Glass > Plastic > Foam
A conductor is a material that allows heat and current to flow through without any resistance. The better the conductor lesser will be the resistance. Metals are good conductors.
Therefore, the best conductor of heat is aluminum
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a star is seen to move by 0.2 seconds of arc between february 1, 1999 and august 1, 1999 and then back to its starting point on february 1, 2000. what is the parallax angle for this star?
The parallax angle for this star is 0.1 seconds of arc.
Parallax angle How astronomers use angle measurements to calculate distances in space. The parallax angle is the angle between the Earth one season of the year and the Earth six months later, as measured from a nearby star. Astronomers use this angle to determine the distance of this star from Earth.
Parallax is based on an optical illusion. Because the human eye perceives nearby objects as larger than distant objects, distant objects appear to move slowly. The illusion has long been translated into parallax in various media to facilitate realistic effects. Parallax is a method based on measuring the two angles and sides of the triangle formed by the star and the Earth after 6 months.
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calculate the height (in m) of a cliff if it takes 2.30 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.05 m/s. how long (in s) would it take to reach the ground if it is thrown straight down with the same speed?
The ground if it is thrown straight down with the same speed is 1.206 secs.
Solution:
H = .5*g*t²
Since H = 7.13
t = sqrt(2H/g) = 1.206 secs
This equation defines the maximum projectile height from the launch position and depends only on the vertical component of the initial velocity. After that, we need to use the velocity vector components to derive an expression for the object's maximum height and range in the projectile's motion.
We also need to use Newton's equations of motion. The gravitational potential energy that an object has at the beginning of its fall is converted into kinetic energy as it falls, and this kinetic energy is used to produce sound and cause the object to bounce or deform when it hits the ground or breaks meet.
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You push a lawn mower across a level yard at constant velocity. You exert a
force of 75 N along the handle that makes a 43° angle with the horizontal.
What is the force of friction between the mower and the ground?
Answer:
Explanation:
11.535 newtons
If the current in a a wire is 2. 0 amperes and the voltage across the wire is 10 volts, what is the resistance of the wire?.
Answer:
5 ohms
Explanation:
V = IR
V/I = R 10 / 2 = 5 Ω
a 12.0-kilogram cart is moving at a speed of 0.25 meter per second. after the speed of the cart is tripled, the inertia of the cart will be
To known the speed and inertia of the cart.
What is inertia?
Matter has an attribute called inertia that makes it resist changes in velocity (speed and/or direction). Newton's first law of motion states that an object moving at a certain speed will stay there unless it is acted upon by an outside force.
What constitutes speed?
The speed of a change in an object's position in any direction Speed is defined as the ratio of distance to the amount of time it takes to cover that distance. Due to its lack of magnitude and only having a direction, speed is a scalar quantity.
Inertia of a cart is only dependent on the mass of the cart .
Mass of the cart , M = 12 Kg is moving at speed 0.25 m/s , speed of the cart is tripled but mass remains same , so that means inertia of the cart will be unchanged.
Therefore, the inertia of the cart is will be unchanged.
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how many times the acceleration due to gravity g near the earth's surface is the acceleration due to gravity near the surface of this exoplanet?
The acceleration due to gravity near the surface of this exoplanet is 1.49 times the acceleration due to gravity near the surface of Earth
Let M be the mass of Earth and R be the radius of Earth and let g be the acceleration due to gravity near the surface of Earth.
g = GM / R²
G = Gravitational constant.
For the exoplanet,
Mass = 7.9 M
Diameter = 2.3 ( 2R ) ( Since D = 2R )
Radius = 2.3 R
Let g' be the acceleration due to gravity near the surface of the exoplanet.
g' = G ( 7.9 M ) / ( 2.3 R )²
g' = 1.49 G M / R²
g' = 1.49 g
Therefore, the the acceleration due to gravity near the surface of this exoplanet is 1.49 times the acceleration due to gravity near the surface of Earth
The given question is incomplete. The complete question is :
One recently discovered extrasolar planet, or exoplanet, orbits a star whose mass is 0.70 times the mass of our sun. This planet has been found to have 2.3 times the earth's diameter and 7.9 times the earth's mass. How many times the acceleration due to gravity g near the earth's surface is the acceleration due to gravity near the surface of this exoplanet?
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sanjay, a stockbroker, runs two miles every day after work because it reduces his level of stress. sanjay's running habit is maintained by a____reinforcer.
negative
Sanjay's running habit is maintained by a Negative reinforcer.
What are the effects of stress?When a situation demands more of a person than they can mobilize, that situation is said to be stressful. Different types of stress can cause negative behaviour in people.An individual needs stress to survive, yet too much stress can harm our bodies. An individual in a distressed state is more susceptible to a number of health issues, including headaches, chest pain, difficulty sleeping, mental disturbances, and high blood pressure. Emotional stress has been linked to immune system deterioration and heart muscle exhaustion. Epinephrine is released in cases of stress-related conditions. Our hearts are harmed by excessive stress.To learn more about effects of stress refer to:
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What force causes centripetal acceleration of a car making a turn on a flat road?
The force that causes centripetal acceleration of a car making a turn on a flat road is friction
The centripetal acceleration is required to create a centripetal force. The centripetal force that cause an object to turn in a circular path is due to the force of friction between the tyres and the road. The magnitude of centripetal force is numerically equal to the magnitude of frictional force.
Fc = f
m v² / r = μ N
Fc ∝ 1 / r
The larger the centripetal force the the smaller the radius of curvature.
Therefore, the force that causes centripetal acceleration of a car making a turn on a flat road is friction
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What is projectile motion name the two components of projectile motion?.
A planar motion known as a projectile occurs when at least two position coordinates change at once. The following two elements can be separated out of the projectile's projection velocity.
ux = u cosαuy = u sinФDue to the horizontal component of the projection velocity, u cosα, and the vertical component, u sinФ, the projectile moves along the horizontal and vertical directions. So that the projectile's distances along the X and Y axes are given by x and y, respectively, let's assume that at any time t, it reaches the point P.Motion in a horizontal direction: If air friction is ignored, the velocity's horizontal component is i. e. , u cosα will not change. Thus Initial horizontal velocity is given by the formula ux = u cosα. acceleration parallel to the ground, ax = 0.Vertical motion is described as follows:The gravitational effect of gravity causes the projectile's vertical velocity to continuously decrease.
Initial vertical velocity is given by ux = u sinФ.
Ay = -g for acceleration along the vertical.
A projectile's motion can be broken down into two parts because it is a two-dimensional motion both vertical and horizontal motion Independent of one another, these two motions occur. The horizontal and vertical components of the projectile's velocity can be separated into two mutually perpendicular parts.Velocity changes as a result of acceleration. A direction's velocity does not change if acceleration in that direction is zero. The horizontal component of velocity in projectile motion therefore stays constant throughout the motion. A uniform motion can be described as being horizontal.Since the vertical components are continuously impacted by gravity, the vertical motion is uniformly accelerated. This is how projectile motion physics works.To know more about projectile motion-
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A force is applied to a 2. 2 kg mass and pro- duces 2. 8 m/s² acceleration. 2 What acceleration would be produced by the same force applied to a 9. 1 kg mass? Answer in units of m/s².
The acceleration would be produced by the same force applied to a 9. 1 kg mass is 0.68 m/s².
Newton's second law states, the acceleration of an object depends directly on the net force acting on the object, and inversely on the mass of the object. The formula F = ma
F = force (Newton)m = mass of the object (kg)a = acceleration (m/s²)Perimeter
Mass of the first object = m₁ = 2.2 kgAcceleration of the first object = a₁ = 2.8 m/s²Mass of the second object = m₂ = 9.1 kgThe same force applied to both objects F₁ = F₂F₁ = F₂
m₁ × a₁ = m₂ × a₂
2.2 × 2.8 = 9.1 × a₂
6.16 = 9.1 × a₂
[tex]a_2 = \frac{6.16}{9.1}[/tex]
a₂ = 0.68 m/s²
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an orthopedic drill uses circular motion to cut a hole in bone. this is an example of what type of energy?
Orthopedic drill is an example of a type of kinetic energy. It uses circular motion to cut a hole in bone.
Orthopedic drillOrthopedic drill is for traumatology cases, and hand-foot surgery, with a wide range of attachments for various applications (punching holes, saws, attaching screws, installing wires, and widening holes), and a powerful and reliable handpiece.
It uses circular motion by rotating on a circular axis due to a change in potential energy into kinetic energy which gives enough speed to make a rotation.
In an orthopedic drill, there is a change in electrical energy into motion energy (kinetic energy).
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A loop of wire is placed in a uniform magnetic field. For what orientation of the loop is the magnetic flux a maximum? for what orientation is the flux zero?.
The correct answer is a) magnetic flux is maximum when the plane of the loop is parallel to the magnetic field. B) magnetic flux is zero, when the plane of the loop is perpendicular to the magnetic field.
What is uniform magnetic field?
The field lines must be both parallel and equally spaced in order for the region under examination to have a uniform magnetic field, which must have the same strength and direction throughout.
Hence the loop's plane is parallel to the magnetic field when the magnetic flux is at its highest (answer a). When the plane of the loop is parallel to the magnetic field, the magnetic flux is zero. (answer b)
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suppose jupiter were not a planet, but instead were a g5 main-sequence star with a mass of 0.8 msun. how could this affect the sun as the g5 star came to the end of its life
The G5 may also have transferred all its mass to the solar, inflicting the sun to explode as a type I supernova.
The solar might have already come to be a white dwarf, and as the G5 swelled right into a red giant, cloth from it might be transferred to an accretion disk across the solar, making the sun explode as a nova.
The sun could have already come to be a white dwarf, and because the G5 swelled right into a purple giant, fabric from it would be transferred to an accretion disk across the sun, making the solar explode as a nova.
Mass is the single maximum important property of a celeb. It determines the evolution of a star as well as its lifetime (e.g. decreased mass stars live longer). In all of the above-discussed instances, this means the initial mass, which decreases by using much less than 1% from birth to the onset of a planetary nebula or a supernova.
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The specific volume of a substance is the volume per gram of substance. It is an example of.
Using the concepts of Extensive and Intensive Properties, we got The specific volume of a substance is the volume per gram of substance. It is an example of physical extensive property.
Physical characteristics of matter are classified into two types: intense properties and extended properties.
An extensive property is a property that is affected by the amount of materials in a sample. Mass and volume are the two examples of extensive characteristics. An intense property is a property of matter that is determined only by the kind of matter in a sample and not by its quantity.
All the specific properties are extensive properties. It can be understood with the example of a specific volume, which is defined as the volume per gram of substance. Therefore, it includes mass.
Thus, it is an extensive property.
Hence, The specific volume of a substance is the volume per gram of substance. It is an example of physical extensive property.
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If environmental triggers cannot be avoided or modified, they may make it difficult to extinguish a behavior. please select the best answer from the choices provided t f
The answer is True . An external or internal trigger can occur Environment-based factors serve as external triggers. They are detected by our minds as well as by our five senses.
Internal triggers are unrelated to anything outside of us and are caused by our ideas and feelings. A stimulus in physiology is a perceptible alteration in the internal or external surroundings of an organism's physical or chemical composition. Sensitivity is the capacity of an organism or organ to recognize external stimuli and respond accordingly (excitability). The function of that behavior is the explanation for why a behavior persists in Applied Behavior Analysis (ABA). The child receives reinforcement from these activities. The behavior will stop and be replaced by a new behavior if it ceases to serve that purpose.
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Consider two carts moving on a track. The first cart has a mass of m, and the second cart has a mass of 3m. The first mass is moving at a velocity v towards the second, which is stationary.
The first mass is moving at a velocity v towards the second, [tex]\frac{3}{2} mv[/tex] is stationary.
impulse imported to cart 1 = change in momentum
=|ΔP| = [tex]p_{f}[/tex] - [tex]p_{i}[/tex]
=m([tex]\frac{-v}{2}[/tex]) - (mv)
=[tex]\frac{-3}{2} mv[/tex]
Magnitude of impulse = [tex]\frac{3}{2} mv[/tex]
Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.
A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system). In contrast to "5 meters per second east," which is a vector, "5 meters per second," for instance, is a scalar.
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rank the moments of inertia of this object about the axes indicated. rank from largest to smallest. to rank items as equivalent, overlap them
The moments of inertia of the object about the axes from largest to smallest is I3 > I1 > I2
I = ∑ m r²
I = Moment of inertia
m = Mass
r = Distance from origin
For system 1,
I1 = m1 r1² + m2 r2²
I1 = m ( r / 2 )² + m ( r / 2 )²
I1 = m r² / 2
For system 2,
I2 = m1 r1² + m2 r2²
I2 = 2 m ( r / 4 )² + m ( r / 4 )²
I2 = 2 m r² / 16 + m r² / 16
I2 = 3 m r² / 16
For system 3,
I3 = m1 r1² + m2 r2²
I3 = ( m / 2 ) r² + ( m / 2 ) r²
I3 = m r²
Clearly I3 > I1 > I2
Therefore, the moments of inertia of the object about the axes from largest to smallest is I3 > I1 > I2
The given question is incomplete. The complete question is:
Rank in order, from smallest to largest, the moments of inertia I1, I2, and I3 about axes through the centers of the rods. Rank I1, I2, and I3 from smallest to largest. To rank items as equivalent, overlap them. The image of the rods is shown in the image attached.
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A 1. 0 newton metal disk rests on an index card that is balanced on top of a glass. What is the net force acting on the disk?.
A 1.0 N metal disk rest on an index card that is balanced on the top of the glass, then the net force acting on the disk is 0 N.
What is Force?A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's velocity can alter, or accelerate, as a consequence of a force. Intuitively, a push or even a pull can also be used to describe force. Being a vector quantity, a force also has magnitude and direction. The SI unit of newton is often used to measure it (N). The letter F stands for force.
As per Newton's second law's initial conception, an entity's net force is equal to the speed at which its momentum is changing over time.
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If a second object identical to the first object is placed on top of the first object, what acceleration would the 200 N force produce?
the first object had a mass of 40kg
The acceleration that a 200N force would produce is 2.5m/s².
How to calculate acceleration?Acceleration is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).
The acceleration of a body can be calculated by using the following formula:
a = F/m
Where;
a = acceleration (m/s²)F = force (N)m = mass (kg)According to this question, a second object identical to the first object is placed on top of the first object, the acceleration required by a 200 N force if the first object had a mass of 40kg can be calculated as follows:
mass 1 + mass 2 = 40kg + 40kg = 80kg
a = 200N ÷ 80kg
a = 2.5m/s²
Therefore, 2.5m/s² is the acceleration that will be produced by the force.
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what will be the final charge on the capacitor after the switch is closed and equilibrium has been reached?
The final charge on the capacitor after the switch is closed and equilibrium has been reached is 99.6μc.
When the switch is closed the equilibrium scenario is that there may be no current flowing via the branch with the capacitor however there may be presently flowing through each resistor. when the circuit switch is of no electricity will drift and then the circuit is called an open circuit. electricity will not waft in an open circuit.
A transfer has two states Open or closed whilst a transfer is open no modern-day can glide thru it. whilst a switch is closed contemporary flows via it. straight away after the switch is closed, the uncharged capacitor acts as a closed loop of wire and not using a voltage drop. because this current will only drift through the capacitor's branch and now not via the resistor as it has resistance and the capacitor acts as a short within the circuit.
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Type your answer in the box. You may use numbers and/or a negative sign (-) in your answer. What is the difference in kilowatt hours of monthly energy production between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour?.
The difference in kilowatt-hours of monthly energy production between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour is 5 miles per hour.
Energy production refers to how a lot of number one power a country extracts from nature. that is the whole of all of the harvested number one fuels and number one energy flows. word manufacturing ignores both imports and exports, and sums up what's extracted from nature.
In modern-day wind generators, wind rotates the rotor blades, which convert kinetic energy into rotational energy. This rotational power is transferred with the aid of a shaft to the generator, thereby producing electrical power.
Calculation:-
local wind speed of 15 miles per hour.
an average local wind speed of 10 miles per hour.
Therefore difference = 15 - 10
= 5 miles per hour.
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Forty 2.0 kg blocks 20.0 cm thick are used to make a retaining wall in a backyard. Each row of the wall will contain 10 blocks. You may assume that the first block is placed at the reference level. How much gravitational potential energy is stored in the wall when the blocks are set in place?
The gravitational potential energy stored in the wall is 627J
Gravitational potential energy is the energy that an object has or gains as a result of a change in its position while in a gravitational field. Gravitational potential energy is energy that is related to gravitational force.
Given
A retaining wall in the backyard is built with forty 2.0kg blocks that are 20.0cm thick. Each row of the wall will have ten blocks. You might guess that the first block is at the top.
we have to determine the gravitational potential energy stored in the wall
By using the equation Eg=mgh
To find mass(m) = 40 x 0.2
= 80kg
To find height(h) = 20c m = 0.2x0.2x4
= 0.8m
= 80kg
So I used 4 because the wall will be four rows high
Eg = 80x0.8x9.8
= 627J
Therefore the gravitational potential energy stored in the wall is 627J
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How do you find the frequency of a radio wave with wavelength?.
The frequency of a radio wave with a wavelength: Frequency of oscillation x wavelength = speed of light
If we have other measurements we can use this relationship to find the wavelength or frequency of the electromagnetic wave. Just divide the speed of light by the measurement you have and you'll get the other.By counting the number of wavefronts that pass a fixed point in a second or so, you can measure the frequency of a wave.
The higher the number the higher the wave frequency. Natural sources of radio waves include astronomical radio sources in space, such as the sun, galaxies, and nebulae as well as radio noise generated by lightning and other natural processes in the Earth's atmosphere. All warm objects radiate high frequency radio waves as part of their black body radiation.
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Super Chicken! isn't just any ol' superhero. No, this chicken has a
mass of 81 kg, is 6 feet tall, and can outrun a racehorse at 32 m/s.
What is Super Chicken's! kinetic energy?
A 3. 5 kg bowling ball is rolling in a straight line. If its momentum is 14 kg * m/s , how fast is the bowling ball traveling?.
Answer:
4 m/s
Explanation:
momentum = m v
14 = 3.5 * v
v = 14/3.5 = 4 m/s
In contrast to earlier scholars, what did galileo galilei and isaac newton believe about theories of the natural world?.
In contrast to earlier scholars, galileo galilei and isaac newton believe about several experiments and close observation.
who was isaac newton?
Sir Isaac Newton PRS was an English mathematician, physicist, astronomer, alchemist, theologian, and author (referred to in his day as a "natural philosopher") who lived from 25 December 1642 to 20 March 1726/27[a]. He is regarded as one of the greatest mathematicians and physicists of all time and one of the most influential scientists of all time. He had a significant role in the intellectual movement known as the Enlightenment. In 1687, he wrote Philosophiae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), which founded classical mechanics. Additionally, Newton made important discoveries to optics, and he shares the invention of infinitesimal calculus with German mathematician Gottfried Wilhelm Leibniz.
The earlier scholars like galileo and isaaac newton believe that several experiments and close observation will be great for their theories
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What would happen to the gravitational force felt between two objects if the radius between them were doubled?.
The gravitational force is reduced by a factor of 4 and the distance between two objects is doubled when the radius between them is increased by a factor of 2.
The gravitational force attracts mass-containing objects to one another. We frequently reflect on the gravitational pull of the Earth. This force keeps your body rooted to the ground. In light of the fact that the gravitational force is inversely proportional to the mass of the two interacting objects, heavier objects will be drawn by stronger gravitational forces. The gravitational pull between two objects therefore increases as their relative masses do.
The radius of a circle is the separation from its centre to its edge. Always, the radius is half as big as the diameter. To obtain the formula, multiply the diameter by two.
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If the acceleration is constant and the starting velocity is zero, what is the relationship between the acceleration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground (v)?.
The relationship between acceleration velocity and time is v(t)=at.
What is velocity?
The speed of something in a given direction.velocity is the directional speed of to an object in motion as an indication of its rate of the change in position as in observed from a particular to frame of reference and it's as measured by a particularly standard of time.
Sol-As per the newton's first law of motion.
Vt= vo+at
Here,
Velocity at time t is v(t).
Initial velocity is vo.
Accelaration is a and the time is t.
The initial velocity is zero.Put the 0 for vo in above equation.
v(t) = 0+at
v(t)= at
Thus, the aceelaration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground.
(V) is v(t) = at.
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What aspect of performance is improved due to 2023 armada’s 7-speed automatic transmission using low gear ratios for 1st through 4th gears?.
The 2023 Armada's 7-speed automatic transmission offers lower gear ratios from 1st to 4th for better acceleration.
Low gear is used when you want to increase engine power and lower vehicle speed. This puts less strain on the brakes and maximizes the car's power in situations such as towing or driving on hills. If you want to force an automatic transmission vehicle to downshift into a lower gear, you must first release the accelerator pedal.
Then drop the transmission into a lower gear and keep the speed at that level for as long as you want the car to be in that gear. You can shift from D to L while traveling in an automatic car. Today's transmission is electronic. It has a rev limiter for shifting into lower gears. The transmission will not downshift to a lower gear than the specific RPM for each gear.
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