Physics, 14.01.2020 17:31 paigedice8090

Determine the acceleration of earth due to its motion around the sun. assume the earth's orbit to be circular with a radius of 1.5 x 10^8 km.

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The definition of centripetal acceleration allows to find the result for the acceleration of the earth around the sun is:

a = 5.95 10⁻³ m / s²

Centripetal acceleration is the acceleration of a body where all the energy is used to change the direction of the velocity keeping the value of its modulus constant.

$a = \frac{v^2}{r}$

They indicate that the radius of the circular orbit is r = 1.5 10⁸ km = 1.5 10¹¹m.

In a circular motion the speed is constant, therefore we can use the uniform motion relation to find the speed.

$v= \frac{L}{t}$

The length of the orbital circle is:

L = 2π r

The time for a complete orbit is called the period.

v = $\frac{2\pi r}{T}$

The period of the Earth's orbit is one year.

T = 1 year (365 days / 1 year) (24 h / 1 day) (3600 s = 1 h)

T = 3.154 10⁷ s

Let's calculate the velocity.

v = $\frac{2 \pi \ 1.5 \ 10^{11}}{6.154 \ 10^7}$ 2 pi 1.5 1011 / 3.154 10⁷

v = 2.988 10⁴ m / s

Now we can calculate the acceleration.

$a = \frac{(2.988 \ 10^4)^2 }{1.5 \ 10^{11}}$

a = 5.95 10⁻³ m / s²

In conclusion using the definition of centripetal acceleration we can find the result for the acceleration of the earth around the sun is:

a = 5.95 10⁻³ m / s²

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Answer from: sdolina5

Explanation:

Given

Radius of orbit $r=1.5\times 10^8\ km$

As earth moves around sun it experiences a centripetal force on it which is given by

$a_c=\frac{v^2}{r}$

where v=velocity of earth

Time period of Revolution

$T=\frac{2\pi \cdot r}{v}$

time period is 365 days i.e. $3.153\times 10^7\ s$

$v=\frac{2\pi \times 1.5\times 10^{11}}{3.153\times 10^7}$

$v=2.98\times 10^4\ m/s$

$a_c=\frac{v^2}{r}$

$a_c=\frac{9\times 10^8}{1.5\times 10^{11}}$

$a_c=0.006\ m/s^2$

acceleration due to gravity is $9.8\ m/s^2$

a_c is less than gravity

Determine the acceleration of earth due to its motion around the sun. assume the earth's orbit to be

Answer from: Quest

speed

ratio of distance traveled to time interval

net force

vector sum of forces on object

object

source of diverging light rays either luminous or illuminated

don't remove my answer im trying my best to answer them

explanation:

Answer from: Quest

Distance covered = speed x timethe distance traveled going against the stream = distance traveled with the stream.therefore it is the speed and the time that are the variables.as he travels the same distance both ways, speed x time is the same for each way.going upstream his speed is 4 kph; going downstream his speed is 6 kph.therefore we have two simultaneous equations: time upstream x 4 = time downstream x 6time upstream + time downstream = 60 minutestherefore we have the equation: time upstream = 6/10 hour, time downstream therefore = 4/10 hour.distance traveled at 4km/hr in 6/10 hour = 24/10 = 2.4km.check: distance traveled at 6km/hr in 4/10 hour = 24/10 = 2.4km.

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Determine the acceleration of earth due to its motion around the sun. assume the earth's orbit to be...

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