An automobile whose speed is increasing at a rate of 0.600 m/s^2 travels along a circular road of radius 20.0 m. When the instantaneous speed of the automobile is 4.00 m/s, calculate the magnitude of the total acceleration.

Answers

Answer 1

The automobile traveling along a circular road with a radius of 20.0 m and an instantaneous speed of 4.00 m/s has a magnitude of total acceleration of approximately 1.000\(m/s^2.\)

To calculate the magnitude of the total acceleration of the automobile, we need to consider both the tangential acceleration and the centripetal acceleration.

The tangential acceleration (at) represents the rate of change of the magnitude of the velocity and is given by the equation:

at = dv/dt

where dv is the change in velocity and dt is the change in time. In this case, the tangential acceleration is given as 0.600 \(m/s^2.\)

The centripetal acceleration (ac) represents the acceleration towards the center of the circular path and is given by the equation:

ac = (\(v^2\)) / r

where v is the instantaneous velocity and r is the radius of the circular path. In this case, the radius of the road is 20.0 m and the instantaneous velocity is 4.00 m/s.

Now, let's calculate the magnitude of the total acceleration by finding the vector sum of the tangential and centripetal accelerations:

at = 0.600 \(m/s^2.\)

v = 4.00 m/s

r = 20.0 m

ac = \((v^2\)) / r

ac = (4.00\(m/s)^2\) / 20.0 m

ac = 0.800\(m/s^2.\)

Total acceleration, atotal = \(\sqrt{((at^2) + (ac^2))}\)

atotal =\(\sqrt{ ((0.600 m/s^2)^2 + (0.800 m/s^2)^2)}\)

atotal ≈ 1.000 \(m/s^2.\)

Therefore, the magnitude of the total acceleration of the automobile is approximately 1.000\(m/s^2.\)

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Related Questions

An automobile cooling system holds 16 l of water. the specific heat of water is 4186 j/kg⋅c∘. How much heat does it absorb if its temperature rises from 17C to 87C?

Answers

The amount of heat that the water absorbs in cooling system of the automobile is 4688320 Joules.

The water holding capacity of the cooling system of the automobile s 16L.

The density of water is 1000Kg/m³. The specific heat of water is 4.186  J/KgC°.

The temperature of the water rises to 87°C from 17°C.

Now, the amount of heat that the water absorbs is,

Q = mcT

Where,

Q is the heat absorbed,

m is the mass of the water,

c is the specific heat of water,

T is the change in temperature of water.

Putting values,

Q = 1000 x 16 x 4.186 x 70

Q = 4688320 Joules.

So, the amount of heat absorbed is 4688320 Joules.

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we cannot see the milky way galaxy without binocular or telescopes. true or false?

Answers

Answer:

I'm pretty sure it's false

Explanation:

.

match the word with the definition

word
h. to eat
1. crucial
2. scavenger
3. domino
4. native
5. invasive
6. biodiversity
7. consume
8. thrive

definition
a. chain reaction
b. to do well
c. species that naturally lives in a space
d. large variety of living things
e. eats dead things f. species that does not belong
g. important

Answers

Answer:

1-G

2-E

3-A

4-C

5-F

6-D

7-H

8-B

How much work is done on an object that is moved to acquire a displacement of 5 meters when 500 Newtons of force was exerted?​

Answers

Answer:

2,500 Joules (J) or Newton Meter (N M)

Explanation:

Work = Force x Distance

The force in this equation is 500 Newtons. The distance (displacement) is 5 meters. Plug it into the equation above.

Work = 5m x 500n

Work = 2,500 Joules or Newton-Meters.

Therefore 2,500 Joules or Newton Meters of work is done on an object.

what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?

Answers

The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.

Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.

Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.

Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.

Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.

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A drum rotates around its central axis at an angular velocity of 10.4 rad/s. If the drum then slows at a constant rate of 5.55 rad/s2, (a) how much time does it take and (b) through what angle does it rotate in coming to rest

Answers

Answer:

t=1.87s

b. 9.74

Explanation:

First to find time set an equation for angular velocity:

\(w_{2}=w_{1}+\alpha t\\0=10.4-5.55t\\-10.4=-5.55t\\1.87=t\)

Now to find the angle:

\(x=x+wt+\frac{\alpha}{2} t^2\\x=10.4*1.87-\frac{5.55}{2} 1.87^2\\x=9.74\)

a particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the ori- gin, at t 5 0 and moves to the right. the amplitude of its motion is 2.00 cm, and the frequency is 1.50 hz. (a) find an expression for the position of the particle as a function of time. determine (b) the maximum speed of the particle and (c) the earliest time (t . 0) at which the particle has this speed. find (d) the maxi- mum positive acceleration of the particle and (e) the earliest time (t . 0) at which the particle has this accel- eration. (f) find the total distance traveled by the par- ticle between t 5 0 and t 5 1.00 s.

Answers

(a) The position of the particle as a function of time is given by:

x(t) = A cos(2πft)

where A is the amplitude (2.00 cm), f is the frequency (1.50 Hz), and cos is the cosine function.

Substituting the given values, we get:

x(t) = 2.00 cos(3πt)

(b) The maximum speed of the particle occurs at the equilibrium position, where the displacement is zero. At this point, the velocity is maximum and is given by:

vmax = Aω

where ω is the angular frequency and is equal to 2πf. Substituting the given values, we get:

vmax = 2.00 × 2π × 1.50 = 18.85 cm/s

(c) The earliest time at which the particle has this speed is when it passes through the equilibrium position. This happens at t = 0, so the earliest time is t = 0.

(d) The maximum positive acceleration of the particle occurs at the ends of its motion, where the displacement is maximum. At these points, the acceleration is given by:

amax = Aω^2

Substituting the given values, we get:

amax = 2.00 × (2π × 1.50)^2 = 282.74 cm/s^2

(e) The earliest time at which the particle has this acceleration is when it reaches the maximum displacement. This happens at t = 1/4T, where T is the period of the motion. The period is given by:

T = 1/f = 2/3 s

So, t = 1/4T = 1/4 × 2/3 = 0.33 s

(f) The total distance traveled by the particle between t = 0 and t = 1.00 s is equal to one complete cycle of its motion. The distance traveled in one complete cycle is equal to four times the amplitude, or:

4A = 8.00 cm

Therefore, the total distance traveled is:

8.00

A 2-inch, f/4 reflector has a focal length of:

6 inches
8 inches
4 inches
2 inches

A 2-inch, f/4 reflector has a focal length of:6 inches8 inches4 inches2 inches

Answers

I’m pretty sure it’s 8 sorry if I’m wrong

what are the precautions you should take for measuring length with a ruler

Answers

There are various precautions that should be kept in mind while measuring length with a ruler.

The following safety measures should be followed when using a ruler to measure the length:

Take care to keep the ruler parallel to the object's length. Keep the item to be measured parallel to and contacting the scale.A ruler with damaged edges should not be used to take readings from the zero point. If the ruler's edge is damaged or worn out, it is best to start measuring from a fully clear point. For instance, the length is 5 cm if you measure from the 2 cm mark to the 7 cm mark (7 cm – 2 cm = 5 cm).Eyes should be directly over the area that will be measured. You could get inaccurate results if your eyes are in different places.The object to be measured should be correctly supported on the scale such that one end of it lines up with the zero mark.

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A red stop light has a frequency of 4.40x10^14Hz. Determine the wavelength.

Answers

Wavelength and Frequency:

The relationship between wavelength and frequency of light is inversely proportional.

Mathematically,

\(\lambda=\frac{c}{f}\)

Where λ is the wavelength, f is the frequency, and c is the speed of light.

The speed of light is 3×10⁸ m/s

For the given case, the frequency is 4.40×10¹⁴ Hz

\(\lambda=\frac{c}{f}=\frac{3.0\times10^8}{4.40\times10^{14}}=6.81\times10^{-7}\; m\)

Therefore, the wavelength of the red stop light is 6.81×10⁻⁷ m

HELP ME PLS i need this rn i love u guys <<3 if u dont know dont answer

HELP ME PLS i need this rn i love u guys &lt;&lt;3 if u dont know dont answer

Answers

Answer:

1.78m/s

Explanation:

Given parameters:

Velocity of the arrow = 22.8m/s

Height of the wall  = 15.5m

Unknown:

Time taken for the arrow to reach the ground  = ?

Solution:

To solve this problem we employ the appropriate motion equation:

     H  = ut + \(\frac{1}{2}\) g t²

 H  is the height

  u is the initial velocity = 0

   g is the acceleration due to gravity  = 9.8m/s²

  t is the unknown time

   

  15.5 = \(\frac{1}{2}\) x 9.8 x t²

  15.5 = 4.9t²

     t² = 3.16

      t = 1.78m/s

A 30 kg child is sitting on a swing. Their weight is exerting a downward force on the swing. The ropes are exerting an upward force on the swing. The swing is not moving. What is the net force on the swing?

A.294 N down
B.294 N up
C.0 N
D.30 kg

Answers

B.294 N up is the answers
Djgidodlckf dkdngrfndkckgdkckv

compare the optical density air and glass

Answers

Answer:

Glass is an optically denser medium than air and water.

Explanation:

hope it helps have a nice night!

Answer:

The speed of light depends on the optical density of the medium. Therefore, light travels with different speeds in different media having different optical densities. For example, the speed of light in air is 3 × 108 m/s, whereas that in glass is 2 × 108 m/s and in water, it is 2.25 × 108 m/s

I will Give Brainliest To whoever actually answers A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth. Determine the speed of the satellite. and include the correct number of sig figs

Answers

Answer:

\(9.7\times 10^{-4}\ rad/s\)

Explanation:

Given:

\(m=500 kg\\F=3000 N\)

\(Radius of earth , R=6371 \times 10^3\ m\\Angular speed =\omega\\We\ know\ that\ \\F= m\times \omega^{2} \times R\\\omega^{2}=\frac{F}{m*R} \\\\=\frac{3000}{500*6371 \times 10^3\ m}\)

=\(\frac{6}{6371 \times 10^3\ m}\)

=\(9.7\times 10^{-4}\ rad/s\)

Which term found in the electromagnetic spectrum is determined by its wavelength?
frequency
photon
electron
color

Answers

Frequency found in the electromagnetic spectrum is determined by its wavelength.

What determines the frequency of light?

Due to the fact that all light travels at the same speed regardless of frequency, light with a longer wavelength has a smaller frequency (since fewer waves pass by in a second) and light with a shorter wavelength has a larger frequency (more waves pass by per second). Frequency and wavelength can be related using an equation.

What are light waves also called?

Light, electromagnetic waves, and radiation are all descriptions of electromagnetic energy, which is the same thing as light. Frequency, wavelength, or energy can all be used to describe this energy. Because of their mathematical connections, if you know one, you can figure out the other two.

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Answer:

It's color I'm sure

Explanation:

An example of this would be that violet has a wavelength of 0.40 to 0.45 microns while red has 0.60 to 0.70 microns. This means that wavelength effects what color will be shown.

which compound has molecules​

Answers

Answer:

Molecular compounds have molecules

answer: molecular compounds

Molecular compounds are chemical compounds that take the form of discrete molecules.

anyone know the answer?

anyone know the answer?

Answers

Answer:

Elasticity

Elasticity is the ability of rubber, for example to return to it's natural shape after being bent and forced in different directions.

Answer:

Elasticity

Explanation:

just gooooooooogle search it

the motor of an elevator puts out 1,104 w of power. what is the mass of the elevator in kg if it lifts 135 m in 65 s at a constant speed? assume g

Answers

The mass of the elevator in Kilograms is 54.24 Kg.

The power applied by the elevator on the mass is 1104 W.

The height to which the mass is taken is 135m in the time period of 65 seconds.

We know,

Power applied is equal to the work done per unit time,

So,

P = MgH/t

Where, P, M, g, H and t are Power, mass, acceleration due to gravity, height and time respectively.

Now, putting values,

1104 = M x 9.8 x 135 / 65

M = 54.24 Kg.

So, the mass of the elevator is 54.24 kg.

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A basketball player is running at 4. 60 m/s directly toward the basket when he jumps into the air to dunk the ball. He maintains his horizontal velocity. (for each answer, enter a number. )

Answers

A basketball player running at 4.60 m/s directly towards the basket jumps into the air to dunk the ball while maintaining his horizontal velocity.

When the basketball player jumps into the air, he experiences a parabolic trajectory due to the effects of gravity. However, since he maintains his horizontal velocity, his horizontal motion remains unaffected throughout the jump.

The vertical motion of the player can be analyzed using the equations of motion under constant acceleration. The initial vertical velocity is zero, and the acceleration due to gravity is approximately 9.8 m/s². Using these values, we can calculate various parameters of the player's jump.

For instance, the time it takes for the player to reach the peak of his jump can be found using the equation v = u + at, where v is the final vertical velocity (which is zero at the peak), u is the initial vertical velocity, a is the acceleration due to gravity, and t is the time.

The maximum height reached by the player can be determined using the equation h = ut + 0.5at², where h is the height, u is the initial vertical velocity, a is the acceleration due to gravity, and t is the time.

Since the player maintains his horizontal velocity throughout the jump, his horizontal displacement remains the same, which depends on the initial horizontal velocity and the time of flight.

By solving these equations, we can obtain the specific values for the time of flight, maximum height reached, and horizontal displacement of the player during his jump.

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if a waves frequency is 4Hz, and its wavelength is 5 m, then what is its speed?

Answers

Answer:

speed = 20 m/s

Explanation:

speed = frequency * wavelength

speed = 4 * 5

speed = 20 m/s

Waterslide ride leaves the pool! The man in the innertube speeds down the waterslide at 34m/s. His entire ride, from the slide to stopping on the sidewalk, was 7 seconds long. What was his deceleration? (Show work)

Answers

Answer:

His deceleration is \(-4.857\)  \(m/s^{2}\).

Explanation:

The formula for acceleration is

\(a=\frac{v_{f}-v_{o} }{t}\)

We are given \(v_{f}\), \(v_{o}\), and \(t\).

Lets solve for \(a\).

\(a=\frac{0-34}{7}\)

\(a=\frac{-34}{7}\)

\(a=-4.857\)

The period in the first few hundred million years after the solar system formed during which the tail end of planetary acretion created most of the craters found on ancient planetary surfaces.

Answers

Mercury is an extreme: the smallest, the densest.

Because of their compact, rocky surfaces akin to Earth's terra firma, the planets Mercury, Venus, Earth, and Mars are referred to as terrestrial. The four planets closest to the sun are the terrestrial planets.

The seven classical planets, which can be seen with the unaided eye, were therefore familiar to early astrologers. The Sun, Mercury, Venus, the Moon, Mars, Jupiter, and Saturn are among them. The Moon and Sun were sometimes referred to as "the luminaries" or "the lights".

Features of common surfaces include:

Explosion craters (though rarer on bodies with thick atmospheres, the largest being Hellas Planitia on Mars)

On Venus, Earth, Mars, and Titan, dunes can be found.

both vulcanism and cryovolcanism.

Rilles.

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what do halo stars do differently from disk stars?

Answers

Answer: They orbit the galactic center with many different inclinations, while disk stars all orbit in nearly the same plane. ... They have vertical motions out of the plane, making them appear to bob up and down, but they never get "too far" from the disk.

Explanation:

where do we NOT need Robots in society​

Answers

We do not need robots taking the place of workers by doing human jobs, robots would replace humans therefore leaving people jobless without income.
Some place where we do not need robots in society is doing jobs of pharmacists. There is a high possibility that robots can mess up the prescriptions which may lead to the wrong intakes of medicine for the wrong people. So in conclusion, although we have robots behind the counters making and storing our medicine we don’t actually want them there because they can’t do a more accurate job than a human.

during a hard sneeze your eyes might shut for .50s. if you are driving a car at 70 mi/hr during such a sneeze, how far does the car move during that time

Answers

Answer:

About 50 ft.

Explanation:

There is a danger any time you take your eyes off the road. There is also a danger of distraction before and after a sneeze.

Hoped this helped!! <3

Conclusion: Suggest an equation relating Felect, q1, q2 and d of the form Felect = k•... where k is a proportionality constant (no need to determine its value). Place the three variables q1, q2 and d on the right side of the equation in a numerator or a denominator; use a power if needed. Your equation should be consistent with your claims made in Challenge #1 and Challenge #2. *I already solved the rest of the worksheet, I only need the conclusion.*

Answers

Answer:

\(F_{elect} = \frac{kq_1q_2}{d^2}\)

Explanation:

Consider the given variables:

Felect = Electrostatic Force between charged particles

k = Coulomb's Constant

q₁ = magnitude of first charge

q₂ = magnitude of second charge

d = distance between the charges

The relationship among these variables is given by the Coulomb's Law:

\(F_{elect} = \frac{kq_1q_2}{d^2}\)

This is the relationship that contains k, q₁, q₂, d on the right-hand side and Felect on the left-hand side.

A sled and its rider are moving at a speed of 4.0 m/s along a horizontal stretch of snow. The snow exerts a kinetic frictional force on the runners of the sled, so the sled slows down and eventually comes to a stop. The coefficient of kinetic friction is 0.050. Determine the acceleration of the sled.

Answers

Answer:

The acceleration of the sled is "0.49 m/s²". A further explanation is given below.

Explanation:

The given values are,

Speed,

V = 4.0 m/s

Coefficient of kinetic friction,

μ = 0.05

As we know,

⇒  \(F \mu=\mu mg\)

and,

⇒  \(a = \mu g\)

On substituting the given values, we get

⇒     \(=0.0 5\times 9.8\)

⇒     \(=0.49 \ m/s^2\)

if an early frost destroys most of the apple crop the equilibrium price of an apple

Answers

If an early frost destroys most of the apple crop, the equilibrium price of an apple is likely to increase.

An early frost that damages a significant portion of the apple crop would result in a decrease in the supply of apples. When the supply decreases, while demand remains constant or even increases, it creates a situation where the quantity demanded exceeds the quantity supplied. This imbalance in the market typically leads to an increase in the equilibrium price of apples.

With a reduced supply of apples, consumers would still desire to purchase them at the same or even higher quantities, especially if there are no close substitutes available. As a result, buyers may be willing to pay a higher price to secure the limited supply of apples. This increased demand coupled with the decreased supply causes the equilibrium price to rise.

Moreover, the extent of the increase in price will depend on the severity of the frost damage and the elasticity of demand. If the damage is severe and there are no alternative sources of apples, the price increase may be significant. However, if there are other regions or countries with unaffected apple crops that can fulfill the demand, the price increase may be relatively moderate.

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How is an equation described if the number of atoms of each element in the products equals the number of atoms of each element in the reactants? a.not spontaneous b.balanced c.an acid-base reaction d.spontaneous​

Answers

Answer: balanced

Explanation: i just took the test! :) hope this helps

In an equation, the number of atoms in products is equal to the number of atoms in reactant represents a balanced equation. Hence, option B is correct.

What are chemical reactions?

It is a process in which one or more substance is converted into the other substances, is called chemical reactions. The chemical equation is given as A + B = C + D. A, B are reactants and C, D are products.

There are several types of chemical reactions like balanced reactions, spontaneous reactions, combination reactions and decomposition reactions.

Spontaneous reaction is a chemical reaction, in which the reactant is converted into product without the supply of external energy. The spontaneous reaction exothermic. The example for spontaneous reaction is combustion reaction.

Non-spontaneous reactions is a type of chemical reaction, in which the reactants can not be converted into product by its own. This reaction requires a external energy to undergo the chemical reaction. Electrolysis of water is an example of non-spontaneous reactions.

When there is exchange of one or more hydrogen ions (H⁺) between the reactant and product molecules is called acid-base reactions. This thpe of reaction is called as neutralisation reactions.

Balanced reactions is defined as the number of atoms in reactant is equal to the number of atoms in products. It is also said to be that when there is no inequalities between reactant and product.

Hence, if number of atoms in both reactant and product is equal, then it is called Balanced reactions. Thus, the correct option is B.

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a curler pushes a stone to a speed of 3.0 m/s over a time of 1.4 s . ignoring the force of friction, how much force must the curler apply to the stone to bring it up to speed? 4.3 n 21 n 43 n 430 n

Answers

No option , The curler apply to the stone to bring it up to speed is  42.85 N.

F = 20*3/1.4 = 42.85 N

3 *3 = 2*u*9.8*40

u = 0.0114

Despite their similarities, distance and displacement have very different meanings, as do speed and velocity. Speed, a scalar quantity, describes "how quickly an object is travelling." You can think of speed as the rate at which an object travels a distance. An object moving quickly has a high speed and travels a fair distance in a brief period of time. In contrast, a slow-moving object travels a comparatively short distance in the same amount of time because of its low speed. Zero speed refers to an object that is completely stationary.

[Speed = Distance Time] is the general formula for calculating an object's speed. The SI speed unit is m/s.

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