A lion with a mass of 190 kg is chasing a gazelle with a mass of 15 kg. The distance between the lion and the gazelle is 2 meters. A. How much gravitational force does the lion exert on the gazelle? b. How much gravitational force does the gazelle exert on the lion? remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.

Answers

Answer 1

A lion with a mass of 190 kg is chasing a gazelle with a mass of 15 kg. The distance between the lion and the gazelle is 2 meters. Both will exert an equal and opposite force on each other  of value  4752.4 * [tex]10^{-11}[/tex] N

Gravitational Force =  G m1 * m2 / [tex]r^{2}[/tex]

                                = 6.67 * [tex]10^{-11}[/tex] * 190 * 15 / 4

                                = 4752.4 * [tex]10^{-11}[/tex] N

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Related Questions

you are given a solenoid of length 0.6 m and radius 0.08 m. it has 4000 turns of wire with resistance of 0.10 ohms. you wish to generate a magnetic field of 0.15 t. the current to which your power supply should be set is closest to:

Answers

Alternating current is also known as mains power, domestic power supply, domestic power supply, mains power supply, or wall power supply, as it is the voltage supplied by the outlet.

The rate of change of direction is typically 50 to 60 times per second and is called hertz (Hz). There are three main types of power supplies.

Uncoordinated (also known as brute force), Linear Coordinated, and Switching. A fourth type of power circuit, called ripple regulation, is a hybrid of "brute force" and "switching" designs and deserves its own subsection. One way to tell if you're using an AC-DC adapter or a DC-DC model is to check the device itself. Input and output information is often displayed somewhere in the interface. If the input is AC, it is an AC-DC power supply; if both input and output are DC, it is a DC-DC model.

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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?.

Answers

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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an orthopedic drill uses circular motion to cut a hole in bone. this is an example of what type of energy?

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Orthopedic drill is an example of a type of kinetic energy. It uses circular motion to cut a hole in bone.

Orthopedic drill

Orthopedic 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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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?

Answers

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 min

The 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 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?.

Answers

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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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?​

Answers

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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the cessna cardinal, a single-engine light plane, has a wing area of 16.2 m2 and an aspect ratio of 7.31. assume the span efficiency factor is 0.62. if the airplane is flying at standard sea-level conditions with a velocity of 300 km/h, what is the induced drag when the total weight is 9800 n?

Answers

The induced drag coefficient of the plane is 0.0067

What is induced drag?

In aerodynamics, drag caused by lift, induced drag, vortex drag, or drag due to lift is the aerodynamic drag that occurs when a moving object redirects the airflow coming over it.

Given,

Weight (w) = 9800 N

Wing area (A) = 16.2 m²

Span efficiency factor (E) = 0.62

Zero-lift drag coefficient (CD0) = 0.03

Velocity (v) = 725 km/h = 300 km/h or 83.34 m/s

Density of air (p) = 1.225 kg/m³

Aspect ratio (AR) = 7.31

W = ¹/₂ pv²×A×Cl

Cl = lift coefficient    

Cl = 2w/pARv²

Cl = 2×9800/1.225×7.31×83.34²

Cl = 0.31

Coefficient of induced drag (Cdi) = Cl²/π×E×AR

Cdi = 0.31²/3.14×0.62×7.31

Cdi = 0.0067

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what will be the final charge on the capacitor after the switch is closed and equilibrium has been reached?

Answers

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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A line that intersects two or more lines in a plane at different points is called a?.

Answers

Answer:

transversal

Explanation:

or transverse line

To get school school a girl walks 1km north in 15 minutes she then walks 200 meter south west in 160 seconds what is the girl's average velocity for her walk to school ?

Answers

Answer:

v=1.132m/s

Explanation:

velocity=total distance/ total time

first convert 1km to m so that would be 1000m then add the total distance so 200+1000=1200. 1200 is the total distance. now add the total time so we need to convert 15 min to sec which is 900 sec. 160 +900=1060. now divide total distance by total time.

v=?

d=1200m

t=1060s

v=d/t

v=1200m/1060s

v=1.132m/s

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?.

Answers

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

Answers

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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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)?.

Answers

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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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

Answers

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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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. ​

Answers

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 = F₂

F₁ = 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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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?.

Answers

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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How do you find the frequency of a radio wave with wavelength?.

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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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What is projectile motion name the two components of projectile motion?.

Answers

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 sinФ

Due 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.

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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?

Answers

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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What would happen to the gravitational force felt between two objects if the radius between them were doubled?.

Answers

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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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?

Answers

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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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?

Answers

0.5 x 81 x 32squared
40.5 x (32 x 32) = 41,472
41,472 joules

The specific volume of a substance is the volume per gram of substance. It is an example of.

Answers

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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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.

Answers

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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A filament bulb, rated at 40W, converts 10% of its electrical energy supply to light energy. Calculate the quantity of light energy emitted in five minutes

Answers

The quantity of light energy emitted at 40W, in five minutes or 300 seconds will be 1200J.

Equation:

40 W total power

40 W = 40 J/s (joules per second)

10% efficiency

Efficiency x Power Equals Actual Power output

40x0.1 = 4W

Power x Time Equals Energy

300 s x 4 W = 1200 J

Energy of Light = 1200 J

Things like stars, lightbulbs, lasers, and hot objects all emit light energy. Light energy travels from stars like our Sun to the Earth. A natural source of light energy is the Sun.

The electromagnetic spectrum is much larger than the light we can see, which is made up of each hue in the rainbow. Other forms of light include those that are invisible to the human sight, such as radio waves, microwaves, infrared radiation, ultraviolet rays, X-rays, and gamma rays.

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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

Answers

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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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?.

Answers

Answer:

4 m/s

Explanation:

momentum = m v

    14           = 3.5  * v

v = 14/3.5 = 4 m/s

what type of x-ray machine includes pieces of high-resolution fixed x-ray equipment that allow physicians to diagnose and perform surgery in a minimally invasive manner?

Answers

Standard computed tomography X-rays are a type of x-ray machine that includes pieces of high-resolution fixed x-ray equipment that allow physicians to diagnose and perform surgery in a minimally invasive manner.

X-ray imaging equipment includes X-ray machines. Since many years ago, X-rays, a type of electromagnetic radiation, have been employed in the medical industry. With the help of this technology, we have been able to see images of our internal organs, including the heart, lungs, and even bones. Electromagnetic radiation such as X-rays can reflect off a variety of materials. Some substances have a high density, whilst others have a low density.

Standard computed tomography X-ray machines are employed for airport security as well as in the medical industry.

These X-rays can image a variety of body areas, including bones, skin, lungs, and the heart, due to their strong X-ray radiation power. Additionally, CT scans are frequently used in X-rays to image organs like the brain that are invisible to traditional X-rays.

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What force causes centripetal acceleration of a car making a turn on a flat road?

Answers

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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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?

Answers

Answer:

Explanation:

11.535 newtons

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benevolent sexism refers to people who think that women are naturally superior to men in kindness and nurturance. what does international research show is a consequence of this belief? then you will load your samples into the gel, run the electrical current, then stain the gel with ethidium bromide. why do you need to stain the gel? in a short paragraph, explain some ways that Jesus death, resurrection, and ascension brought life into the world underline the verb in each of the following sentence students with communication disorders may have trouble with stories about ideas or events they have experienced or thought about, called when the nurse is describing the events that occur in a newborn when he or she experiences a cold environment, which event would the nurse identify as occurring first? If the minimum wage in 1988 was $3.65/hr and the CPI was 65.3, and the minimum wage in 2014 was $8.50/hr and the CPI is 137.5, when was the minimum wage worker better off: 1988 or 2014, AND what was the percentage of each?a) Better off in 2014 because wages increased 133% and prices increased 111%b) Better off in 1988 because wages increased 57% and prices increased 111%c) Better off in 2014 because wages increased 57% and prices increased 53%d) Better off in 1988 because wages increased 133% and prices increased 53% any help would be really appreciated :) In the eller college website redesign process, tasks such as competitive analysis, creating a project plan and assessing as-is capbilities using web surveys were performed during which phase of the project?. 29. the graduate nurse is assessing her newly admitted client's abdomen and notes a bruit upon auscultation. which assessment technique by this nurse should be questioned in this client? a stock currently sells for $30 per share and pays $1.00 per year in dividends. what is an investor's valuation of this stock if he expects it to be selling for $37 in one year and requires a 12 percent return on equity investments? On a coordinate plane, a line goes through (negative 6, 8) and (2, 6). A point is at (negative 2, negative 4). What is the slope of the line that is parallel to the given line and passes through the given point? 1/4 What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point? What is the y-intercept of the line that is parallel to the given line and passes through the given point? solve 1/3 x= -4/5 -2 2/54/152 2/5-4/15 The most important way in which the greeks influenced American democracy was by allowing countess corporation is expected to pay an annual dividend of $5.11 on its common stock in one year. the current stock price is $78.27 per share. the company announced that it will increase its dividend by 3.55 percent annually. what is the company's cost of equity? multiple choice 9.52% 9.80% 10.31% 10.08% 10.69% how much work is required, using an ideal carnot refrigerator, to remove 1 j of heat energy from helium at 4 k and eject this heat to a room temperature (293 k) environment? Mrna is synthesized in the _______ direction, which corresponds to the _______ of the protein. 5. Evaluate the expressions.(-3) = -(4/9) = Read the excerpt from act iv of hamlet. Ophelia: larded with 'sweet flower; which bewept to the grave did go with true-love showers. Claudius: how do you, pretty lady? ophelia: well, god 'ild you! they say the owl was a baker's daughter. Lord! we know what we are, but know not what we may be. God be at your table! which words describe ophelia in the excerpt? select 3 options. Muddled controlling illogical deceitful melancholy. What is the ratio of the rate of effusion of hydrogen (h2) to that of oxygen (o2)?.