A cruise ship can accelerate at 0.01 m/s2, if it starts from rest how long does it take
to reach a speed of 25 km/h? How long would it take if it started from a speed of
2.0 m/s?

Answers

Answer 1

Answer:

t = 8.24 [min]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}=v_{o}+a*t[/tex]

where:

Vf = final velocity = 25 [km/h]

Vo = initial velocity = 2 [m/s]

a = acceleration = 0.01 [m/s²]

t = time [s]

Now we must convert the speed from kilometers per hour to meters per second.

[tex]25[\frac{km}{h} ]*[\frac{1h}{3600s}]*[\frac{1000m}{1km} ]=6.94[m/s][/tex]

Now replacing:

[tex]6.94=2+0.01*t\\t=494 [s]\\or\\t=8.24[min][/tex]


Related Questions

The motion of particles in solids, liquids, and gases are distinct in their behavior. Which state of matter is randomly separated with no regular arrangement and move freely at high speeds?

A. Solid
B.Liquid
C.Mixture
D.Gas

Answers

Answer:

D. Gas

Explanation:

There are only three states of matter: solid, liquid and gas. This makes choice c (Mixture) incorrect because it is not part of the group.

The particles in gas are widely separated, which means there's a lot of free space between the particles. This makes it easily compressible. The particles then move past each other, which causes no regular arrangement.

A pebble is released from rest at a certain height and falls freely, reaching an impact speed of 6 m/s at the floor. Next, the pebble is thrown down with an initial speed of 3 m/s from the same height. What is its speed at the floor

Answers

Answer:

Explanation:

Let h be the height .

initial velocity in first case u = 0

final velocity v = 6 m /s

acceleration due to gravity g = 9.8 m /s²

v² = u² + 2 g h

6² = 0 + 2 x 9.8 x h

h = 1.837 m .

For second case u = 3 m /s

v² = u² + 2 gh

= 3² + 2 x 1.837 x 9.8

= 9 + 36

= 45 m

v = 6.7 m /s

Without using the Gizmo, use your equation to calculate the acceleration of a puck that is in uniform circular motion with a radius of 3.0 m and a velocity of 9.0 m/s:___________.

Answers

Answer:

the centripetal acceleration of the puck is 27 m/s²

Explanation:

Given;

radius of the circular path, r = 3.0 m

velocity of the puck in the circular motion, v = 9.0 m/s

The centripetal acceleration of the puck is calculated as;

[tex]a_c = \frac{v^2}{r} \\\\a_c = \frac{(9)^2}{3} \\\\a_c = 27 \ m/s^2[/tex]

Therefore, the centripetal acceleration of the puck is 27 m/s²

A rock moving in the +x-direction with speed 16.0 m/s has a net force applied to it at time t = 0, and this produces a constant acceleration in the −x-direction that has magnitude 4.00 m/s2. For what three times t after the force is applied is the rock a distance of 24.0 m from its position at t = 0?

Answers

Answer: The rock is (24m) away from the origin at t = 2 s, t = 6 s, and t = 9.29 s

the block is sitting at rest on teh floor . The normal force on the block is 3.00 N find the mass of the block

Answers

Answer:

m = 0.305 [kg]

Explanation:

When a body rests on a horizontal surface and is in balance we can say that normal force is the reaction of the weight of a body.

Weight is defined as the product of mass by gravitational acceleration.

[tex]N=W=m*g[/tex]

where:

N = normal force = 3 [N]

g = gravity acceleration = 9.81 [m/s²]

m = mass [kg]

Now replacing:

[tex]3=m*9.81\\m=0.305[kg][/tex]

1. A 20.0 kg weight is hanging from a rope. What is the force of tension on the rope?

Answers

Explanation:

The tension on an object is equal to the mass of the object x gravitational force plus/minus the mass x acceleration. Tension Formula Questions: 1) There is a 5 kg mass hanging from a rope.

For each of the situations described below, the object considered is undergoing some changes. Among the possible changes you should consider are:

(Q) The object is absorbing or giving off heat.
(T) The object's temperature is changing.
(E) The object's thermal energy is changing.
(W) The object is doing mechanical work or having work done on it.
(C) The objects chemical energy is changing.

For each of the two situations, identify which of the five changes is taking place, indicating the applicable letters Q T U W C (or none) as appropriate while providing your reasoning.

a. An ice cube sits in the open air and is melting.
b. A cylinder with a piston on top contains a compressed gas and is sitting on a thermal reservoir (a large iron block that can provide or take thermal energy as the system needs). After everything has come to thermal equilibrium, the piston is moved upward somewhat (very slowly). The object to be considered is the gas in the cylinder.

Answers

Answer: a. (Q), (T), (E)

              b. (Q), (T), (E), (W)

Explanation: Thermal Energy and Temperature are closely related: when the temperature rises causing atoms or molecules to move, thermal energy is produced. Thermal energy is the energy within the system.

Mechanical Work is the amount of energy transferred due to an applied force.

Chemical Energy is the energy contained in the bonds of chemical structures of the molecules released when a chemical reaction happens.

Given the explanations, let's analyse the situations:

a. For an ice cube to be melting, it has to be absorbing heat, which means its thermal energy is changing and, consequently, so does its temperature;

b. First, the gas inside the cylinder reaches a thermal equilibrium, which means its thermal energy and temperature changed. Since there were  exchange of heat to reach the equilibrium, the gas absorbed or gave off heat. After the equilibrium, when the piston starts to be moved, the energy of the pressure is transferred to the gas, so mechanical work had been done.

When groups interact with one another, sometimes there is conflict. What is the BEST example of this type of group interaction?

A. Two classes work together to raise money for a local cause.

B. Two sports teams head to the football championship game.

C. Two countries go to war with one another.

D. Two departments exchange information in a meeting.

Answers

Answer: (D) Two countries go to war with one another.

Explanation: I checked.

A meteor which is moving at a speed of 100 m si
towards Mars is deteced at a height of 207.2 m
from its surface. The meteor reaches the surface of
Mars after 2 s.
What is the gravitational acceleration of Mars?

Answers

Answer:

Acceleration due to gravity of Mars

Explanation:

An electron is to be released from rest on the central axis of a uniformly charged disk of radius R. The surface charge density on the disk is +4.00 μC/m^2 and ε0= 8.85 x 10^–12 F/m. What is the magnitude of the electron’s initial acceleration if released at distances of

a. R from the center of the disk?
b. R/100 from the center of the disk?
c. R/1000 from the center of the disk?
d. Why does the acceleration increase only slightly as the release point is moved closer to the disk?

Answers

Answer:

[tex]a=11.86*10^1^5 m/s[/tex]

[tex]a=3.91864074*10^-^2^4 m/s^2[/tex]

[tex]a=3.95426275*10^-^2^4m/s^2[/tex]

Explanation:

From the question we are told that

The surface charge density on the disk is [tex]\sigma=+4.00 \mu C/m^2[/tex]

[tex]\varepsilon _0= 8.85 * 10^–12 F/m.[/tex]

a)Generally the electric field in this situation is given as  is mathematically given as

  [tex]E=\frac{\sigma}{\varepsilon_0} (1-\frac{R}{\sqrt{2}R}[/tex]

  [tex]E=\frac{\sigma}{\varepsilon_0} (1-\frac{1}{\sqrt{2}})[/tex]

  [tex]E=67.48*10^3 f/a[/tex]

Generally the Force of release of the electron  is mathematically given as

[tex]F=eE[/tex]

[tex]F=ma[/tex]

[tex]a*m=\frac{eE}{1}[/tex]

[tex]a=\frac{1.6*10^-^1^9 *67.48*10^3}{9.1*10^3^1}[/tex]

[tex]a=11.86*10^1^5 m/s[/tex]

b)Generally the electric field in R/100 from the center of the disk is given as  is mathematically given as

Generally

 [tex]E=\frac{\sigma}{\alpha \varepsilon_0}(1-\frac{1}{\sqrt{(100)^2} }[/tex]

 [tex]E=\frac{4.0*10^-^6}{2*8.854*10^-^1^2}(1-\frac{1}{\sqrt{(1+(100)^2} })[/tex]

 [tex]E=2.22872692*10^2^7[/tex]

Generally the Force of release of the electron  is mathematically given as

 [tex]a*m=\frac{eE}{1}[/tex]

 [tex]a=\frac{1.6*10^-^1^9 *2.22872692*10^2^7}{9.1*10^3^1}[/tex]

 [tex]a=3.91864074*10^-^2^4 m/s^2[/tex]

c)Generally the electric field in R/1000 from the center of the disk is given as  is mathematically given as

 [tex]E=\frac{\sigma}{\alpha \varepsilon_0}(1-\frac{1}{\sqrt{(1000)^2} }[/tex]

 [tex]E=\frac{4.0*10^-^6}{2*8.854*10^-^1^2}(1-\frac{1}{\sqrt{(1+(1000)^2} })[/tex]

[tex]E=2.24898694*10^2^7[/tex]

Generally the Force of release of the electron  is mathematically given as

 [tex]a*m=\frac{eE}{1}[/tex]

 [tex]a=\frac{1.6*10^-^1^9 *2.24898694*10^2^7}{9.1*10^3^1}[/tex]

 [tex]a=3.95426275*10^-^2^4m/s^2[/tex]

A piece of aluminum has a density of 2.70 g/cm^3 and a mass of 775 g. The aluminum is submerged in a container of oil of density 0.650 g/cm^3. How much oil does the metal displace

Answers

Answer:

287cm^3

Explanation:

Given data

Density of aluminium= 2.7g/cm^3

mass of aluminium= 775g

The volume occupied is given as

we know that

density= mass/volume

volume= mass/density

volume= 775/2.7

volume= 287 cm^3

Now based on Archimedes principle, which states that when a body is totally or partially submerged in a fluid it experiences an upthrust which is equal to the volume of the mass displaced

Therefore, the volume of oil displaced is 287cm^3

Sound travels at about 330 meters per second, but light travels so much faster that it travels almost instantaneously. How long a gap do you expect between seeing the flash and hearing the thunder from a storm 4km away

Answers

Answer:

The gap between seeing the flash and hearing the thunder is 12.12 seconds.

Explanation:

As sound travels at 330 meters per second, while light travels almost instantaneously, to determine the gap between seeing the flash and hearing the sound of thunder from a storm at 4 km, the following calculation must be performed:

4 km = 4,000 m

4,000 / 330 = X

12.12 = X

Therefore, the gap between seeing the flash and hearing the thunder is 12.12 seconds.

A source emits sound with a frequency of 1,000 Hz. It is moving at 20 m/s toward a stationary reflecting wall. If the speed of sound is 340 m/s, an observer at rest directly behind the source hears a beat frequency of

Answers

Answer:

the beat frequency heard by the observed is 58.8 Hz.

Explanation:

Given;

frequency of the source, Fs = 1,000 Hz

velocity of the source, Vs = 20 m/s

velocity of sound, V = 340 m/s

The frequency heard by the observer behind the source is calculated by applying Doppler effect;

[tex]F_s = F_o [\frac{v}{v-v_s} ]\\\\1000 = F_o [\frac{340}{340 -20} ]\\\\1000 = 1.0625F_o\\\\F_o = 941.2 \ Hz[/tex]

The beat frequency heard by the observed = 1000 - 941.2 = 58.8 Hz.

Therefore, the beat frequency heard by the observed is 58.8 Hz.

Answer:

An observer at rest directly behind the source hears a beat frequency of [tex]117.65Hz[/tex]

Explanation:

[tex]N_1[/tex] = frequency observed by observer when source goes away from the observer

[tex]N_2[/tex] = when source coming towards observer

[tex]N_1 = m(\frac{V-V_o}{V})\\\\N_1 = 1000(\frac{340-20}{340})\\\\N_1 = 941.17[/tex]

[tex]N_2 = m(\frac{V+V_o}{V})\\\\N_2 = 1000(\frac{340+20}{340})\\\\N_2 = 1058.82[/tex]

Therefore,

[tex]N_2 - N_1 = 1058.82 - 941.17[/tex]

Beat frequency = [tex]117.65Hz[/tex]

For more information on beat frequency, visit

https://brainly.com/subject/physics

You have a styrofoam container with 751 g of tomato juice (specific heat of 3,980 J/(kg · °C)) at 39.0° and you add a 62 g chunk of ice at 0°C. Assume the liquid and water mix uniformly as the ice melts and determine the final temperature of the mixture (in °C).

Answers

The temperature of the mixture in degrees centigrade is 36.5°C.

The heat lost by the melting ice is equal to the heat gained by the tomato juice and water.

Where;

Heat lost by ice = mL = 0.062 Kg × 33600 J/Kg = 2083.2 J

Heat gained by tomato juice = 0.751 Kg × 3,980 J/kg · °C ( T - 39°C)

Heat gained by water = 0.062 Kg × 4200 J/kg · °C ( T - 0°C)

Hence;

2083.2  = [2988.98T - 116570] + [260.4T - 0]

2083.2 = 2988.98T + 260.4T -  116570

2083.2 =3249.38 T - 116570

2083.2 + 116570 = 3249.38 T

T = 36.5°C

Learn more: https://brainly.com/question/9352088

A 1500-kg elevator moves upward with constant speed through a vertical distance of 25 m. How much work was done by the tension in the elevator cable

Answers

Answer:

367500Joules

Explanation:

Work done is expressed as;

Work done = force × distance

Force = mass × acceleration due to gravity

Force = 1500×9.8

Force = 14700N

Given

Distance covered = 25m

Workdone = 14700×25

Work done = 367500Joules

Hence the work done by the tension in the elevator cable is 367500Joules

Why do artificial plant-growth lights have a light spectrum that favors the red and blue portions of the spectrum

Answers

Answer:

because the red and blue regions are the optimum regions for photosynthesis.

Explanation:

Artificial plant-growth lights have a light spectrum that favors the red and blue portions of the spectrum because the red and blue regions are the optimum regions for photosynthesis.

Plants generally need photosynthesis to survive because, during the process, their food is synthesized. The process requires light energy to be absorbed by the green pigment of the plant - the chlorophyll. The light energy excites some electrons of the photosystems of the chlorophyll, leading to the release of the electron. The electron thus travels in an electron transport chain, eventually utilized to generate energy-rich molecules that are later utilized in other parts of the process to manufacture food.  

Investigations have revealed that the process of photosynthesis proceeds optimally in the red and light regions of the light spectrum. The discovery has made the manufacturers of artificial plant-growth light to engineer their products to favor more of these two light regions above the rest of the visible light spectrums.

When energy is produced from the light source of various frequencies, wavelengths and energies are called the light spectrum. It is estimated in nm (nanometers).

Plants favour the red and blue light spectra because they absorb and receives the most amount of light.

The phenomena can be explained as:

The blue and red regions of light spectra are considered as the optimum area for the process of photosynthesis.

The process of making food by plants requires light to be absorbed by the chloroplast of the cell containing the pigment called chlorophyll.

The light spectra containing the blue and red light serves best for the process as it favours the electron transport in the plant ETC system more compared to any other light spectra.

Therefore, blue and red favours photosynthesis.

To learn more about light spectra and photosynthesis follow the link:

https://brainly.com/question/2237809

PLEASE HELP!!!! What are 3 ways that machines can make doing work easier? (thats the whole question)

Answers

Answer:

Machines reduce the time of work hence reducing the rate of doing work ( power ).

Machines e.g pulleys carry heavy loads with a less and reasonable effort.

Machines e.g generators induce current in a limited amount of time

Answer:

they can do work easier for an example a car a car make things easier by going some were far it can also be used to help people travel instead of a plane it can also be used for carriying things like a boat. (you can put it in a diffrent way)

Explanation:

hope it helps! :)

A strength and conditioning coach recommends that an athlete train by pulling a large amount of mass while sprinting. If action-reaction forces are always equal and opposite, which explanation best describes the action reaction pair acting on the runner ?
A) The runner will not move because the applied force exerted by the runner on the mass will create an equal and opposite frictional force, canceling the applied force
B) The runner will accelerate forward because the applied force exerted by the runner creates an equal and opposite frictional force by the ground, but these forces are exerted on different objects.
С) The runner will accelerate forward because the force of friction by the mass on the runner is always less than the applied force by the runner, resulting in a net force forward
D) The runner will remain motionless because the applied force by the runner in the forward direction is less than the frictional force from the ground, acting in the opposite direction.

Answers

Answer:

The correct answer is B)

Explanation:

Solution:

The correct answer is B)

Because,  

Runner is applying a force and forwarding ahead which creates equal and opposite frictional force by the ground. But key point here is that, the equal and opposite force is acting on different objects not on the runner. As, friction force will be applied to the heavy mass and the runner by the ground. So, Runner will always apply greater and opposite force than the total friction force that he is experiencing because of heavy mass friction and its friction due to ground in order to move ahead.

For example, if you pull a empty cart with equal and opposite force, then the cart will not move, as the net force is zero. So, in order to move the cart. you have to apply greater and opposite force.

   

A sprinter accelerates at 7.5 m/s from rest in 2.0 s, what distance did she go? (15 m)
Proof please

Answers

Answer:

The sprinter traveled a distance of 7.5 m

Explanation:

Motion With Constant Acceleration

It's a type of motion in which the rate of change of the velocity of an object is constant.

The equation that rules the change of velocities is:

[tex]v_f=v_o+at\qquad\qquad [1][/tex]

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The distance traveled by the object is given by:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2][/tex]

Using the equation [1] we can solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

The sprinter travels from rest (vo=0) to vf=7.5 m/s in t=2 s. Computing the acceleration:

[tex]\displaystyle a=\frac{7.5-0}{2}[/tex]

[tex]a=3.75\ m/s^2[/tex]

Now calculate the distance:

[tex]\displaystyle x=0*2+\frac{3.75*2^2}{2}[/tex]

[tex]\displaystyle x=7.5\ m[/tex]

The sprinter traveled a distance of 7.5 m

The moment of inertia of a lever is 50 kg m^2 with a mass of 2 kg. What is the
radius?

Answers

Answer:

huh

Explanation:

Which of the following is NOT an argument for showing that the Earth must be round: a. during an eclipse of the Moon, the shadow of the Earth is always seen to be round b. when ships travel a large distance away, we see their hulls disappear first and their masts disappear last c. the height of the North Star changes as we travel to different latitudes d. photographs of the Earth from space always show a round body e. the Sun is seen blocking different constellations in the course of a year Submit Your Answer

Answers

Answer: The correct option is option E (the Sun is seen blocking different constellations in the course of a year.

Explanation:

The earth, which is one of the planets of the solar system that supports life, is shperical in shape. The spherical ( round) shape of the earth is marked by the intervening highlands and oceans on its surface.

Evidence to show that the earth is shperical are:

--> The Lunar eclipse: During an eclipse of the Moon, the shadow of the Earth is always seen to be round.

--> Ships Visibility: When ships travel a large distance away, we see their hulls disappear first and their masts disappear last.

-->Altitude of Polaris (North Star): The height of the North Star changes as we travel to different latitudes. That is ,increases as you move toward the North pole, or decreases as you move toward the equator.

--> Aerial photographs: Photographs of the Earth from space always show a round body.

The statement that doesn't prove that the earth is spherical in shape is (the Sun is seen blocking different constellations in the course of a year). The sun is seen in front of stars blocking different constellation in a year because the earth orbits round the sun in a year and not that it is shperical in shape.

All motion will eventually stop due to the "loss" of energy to___.
a) friction and thermal energy
b) gravity
c) kinetic energy
d) potential energy

Answers

Gravity (b) is the answer
I think it is c) kinetic energy

6)
A flower pot weighing 42.0 N is hung above a window by three ropes, each
making an angle of 22.o with the vertical, as shown. What is the tension in
each rope supporting the flower pot?
220
Answert

Answers

Answer: 14.5 N

Explanation:   NEED SCRATCH PAPER: A flower pot weighing 42.0 N (newtons) is hung above a window by three ropes, each making an angle of 15.0 degrees with the vertical. What is the tension in each rope supporting the flower pot?

✓ 14.5 N

found it on the internet?

Which two processes would most likely cause metamorphic rocks to change into sediments?
compaction and erosion
cementation and weathering
erosion and weathering
heating and compaction

Answers

Answer:

Weather and erosion

Explanation:

Thats what makes sediment rocks sediment rocks

Luyando wants to have a bit of fun with her wagon. She puts her 12 baby sister, Waluse, on the wagon and pulls it across the floor using a rope at an angle of 22° above the floor. Using the spring balance that mum uses to weigh things in the kitchen, Luyando realises that the tension in the rope is constant and has a value of about 40 . Use the work-energy theorem to find Waluse’s speed after being pulled 4.0 across the living room. The coefficient of friction is 0.2 and the weight of the wagon is 3kg

Answers

Answer:

work energy equation

[tex]w.d(external)= \delta \: k.e+ \: \: \ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: w.d(ressesive)[/tex]

Explanation:

first of all we have to find reaction force to find fr

[tex]fr = \mu \: mg \\ mg = reaction \: force(r) \\ f = ma \\ r + 40 \sin(22) - 150 = 0 \\ r = 150 - 40 \sin(22) [/tex]

then let's find friction

[tex]fr = \mu \: r \\ 0.2 \times (150 - 40 \sin(22) )[/tex]

then let's apply work energy principle...its on the 2nd picture

v = 2.3ms^-1

PLEASE HELP ME!!!
Stress is a ______________ that's created when we react to particular events.

Question 2 5 pts


What signals the adrenal glands to produce more of the hormones adrenaline and cortisol and release them into the bloodstream?

Group of answer choices

hyperextension

hypothalamus

hypodermis


Question 3 5 pts


When the adrenal glands produce more of the hormones adrenaline what are two of the body’s reaction to these additional hormones:



Group of answer choices

heart rate slows down and pupils constrict

blood pressure and metabolism decrease

heart rate speeds up and sweat is produced


Question 4 5 pts
Match the following terms with their appropriate definitions.
Group of answer choices
the stress response

the events that provoke stress


Question 5 5 pts
The article talks about building up your resilience to cope with stress. What does resilience mean?



Group of answer choices

the capacity to recover quickly from difficulties

incapable of change

not good in stressful situations


Question 6 5 pts
What are two ways that you can control stress?
Group of answer choices

compulsiveness and pesimism

overschedule and junk food

be realistic and get a good night's sleep

Answers

Answer:

1.Stress is a feeling that's created when we react to particular events.

2. What signals the adrenal glands to produce more of the hormones adrenaline and cortisol and release them into the bloodstream?hypothalamus. ... 3. When the adrenal glands produce more of the hormones adrenaline what are two of the body’s reaction to these additional hormones:heart rate speeds up and sweat is produced. 4.the stress response the bodies natural way of dealing with anxiety. 5. the events that provoke stress are job issues or retirement. lack of time or money. grief. family problems. The article talks about building up your resilience to cope with stress. What does resilience mean? the capacity to recover quickly from difficulties. 6. What are two ways that you can control stress? be realistic and get a good night's sleep.

A scientific theory can be thought of as a(n) ________.

Answers

Maybe an Observation

An astronaut whose mass is 80 kg carries an empty oxygen tank with a mass of 10 kg. The astronaut throws the tank away with a speed of 2.0 m/s. With what velocity does the astronaut start to move off into space?

Answers

Answer:

The speed of the astronaut is 0.25 m/s in the opposite direction to the oxygen tank.

Explanation:

Using the conservation of linear momentum, we have:

[tex]p_{initial}=p_{final}[/tex]

The initial momentum is zero because both of them are at rest, so we just have a final momentum.

[tex]0=m_{astro}V_{f-astro}+m_{tank}V_{f-tank}[/tex]

[tex]m_{astro}V_{f-astro}=-m_{tank}V_{f-tank}[/tex]

[tex]V_{f-astro}=-\frac{V_{f-tank}m_{tank}}{m_{astro}}[/tex]

[tex]V_{f-astro}=-\frac{2*10}{80}[/tex]

[tex]V_{f-astro}=-0.25\: m/s[/tex]

Therefore, the speed of the astronaut is 0.25 m/s in the opposite direction to the oxygen tank.

I hope it helps you!  

why don't scale models show the real distance between planets

Answers

If both distance and size are proportional to that in the solar system, the model would be essentially useless. For example, if the sun were represented by a marble 1 cm in diameter, the planet Neptune would be represented by a grain of sand. 3 mm in diameter about 32.3 meters (106 ft) away. The largest planet, Jupiter, would be a larger sand grain, 1 mm in diameter, about 5.6 meters from the sun. Earth would be less than 0.1 mm in diameter, about 1 meter away from the sun. Such a model would barely fit into a gymnasium (basketball court), and the elements of it would be very difficult to find without a map.

6.Calculate the centripetal acceleration of the Earth towards the Sun. (r = 1.5 x 1011 m)
I'm not really sure about this problem so I need some help

Answers

Given,

The radius of Sun, [tex]r=1.5\times 10^{11}\ m[/tex]

To find,

The centripetal acceleration of the Earth towards the Sun.

Solution,

The centripetal acceleration of an object is given by the formula as follows :

[tex]a=\omega^2 r[/tex] ....(1)

Where

[tex]\omega[/tex] is angular velocity

First calculate the angular velocity.

[tex]\omega=\dfrac{2\pi}{1\ \text{day}}\\\\=\dfrac{2\pi}{24\times 3600\ s}\\\\=7.27\times 10^{-5}\ s^{-1}[/tex]

Put all the values in formula (1)

[tex]a=\omega^2 r\\\\=(7.27\times 10^{-5})^2\times 1.5\times 10^{11}\\\\=792.79\ m/s^2[/tex]

So, the centripetal acceleration of the Earth towards the Sun is [tex]792.79\ m/s^2[/tex].

Other Questions
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