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never [62]
3 years ago
6

Planet A takes one year to go around the sun at a distance at a distance of one A U.. Planet B is three A U. from the sun. How m

any years does Planet B rake to orbit?
Physics
1 answer:
kotykmax [81]3 years ago
4 0
I would take roughly around 3 years
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Given a particle that has the velocity v(t) = 3 cos(mt) = 3 cos (0.5t) meters, a. Find the acceleration at 3 seconds. b. Find th
DiKsa [7]

Answer:

a.\rm -1.49\ m/s^2.

b. \rm 50.49\ m.

Explanation:

<u>Given:</u>

  • Velocity of the particle, v(t) = 3 cos(mt) = 3 cos (0.5t) .

<h2>(a):</h2>

The acceleration of the particle at a time is defined as the rate of change of velocity of the particle at that time.

\rm a = \dfrac{dv}{dt}\\=\dfrac{d}{dt}(3\cos(0.5\ t ))\\=3(-0.5\sin(0.5\ t.))\\=-1.5\sin(0.5\ t).

At time t = 3 seconds,

\rm a=-1.5\sin(0.5\times 3)=-1.49\ m/s^2.

<u>Note</u>:<em> The arguments of the sine is calculated in unit of radian and not in degree.</em>

<h2>(b):</h2>

The velocity of the particle at some is defined as the rate of change of the position of the particle.

\rm v = \dfrac{dr}{dt}.\\\therefore dr = vdt\Rightarrow \int dr=\int v\ dt.

For the time interval of 2 seconds,

\rm \int\limits^2_0 dr=\int\limits^2_0 v\ dt\\r(t=2)-r(t=0)=\int\limits^2_0 3\cos(0.5\ t)\ dt

The term of the left is the displacement of the particle in time interval of 2 seconds, therefore,

\Delta r=3\ \left (\dfrac{\sin(0.5\ t)}{0.05} \right )\limits^2_0\\=3\ \left (\dfrac{\sin(0.5\times 2)-sin(0.5\times 0)}{0.05} \right )\\=3\ \left (\dfrac{\sin(1.0)}{0.05} \right )\\=50.49\ m.

It is the displacement of the particle in 2 seconds.

7 0
4 years ago
How many moles of mgci2 are there in 326 g of the compound
ddd [48]
<h2>Hello!</h2>

The answer is: There are 3.42 moles of MgCl2 in 326g of the compound.

<h2>Why?</h2>

Assuming that the compound is MgCl2, we can find how many moles of the compound are in 326 g of the same compound, calculating the molar mass of the compound, so:

Mg=24.305\frac{g}{mol}\\\\Cl=35.45\frac{g}{mol}

Then,

MgCl2MolarMass=24.305+(2*35.45)=95.21\frac{g}{mol}

Therefore, to calculate how many moles are in 326 of the compound, we can use the following equation

Moles=\frac{mass}{molarmass} =\frac{326g}{95.21\frac{g}{mol}}=3.42molesMgCl2

Hence,

There are 3.42 moles of MgCl2 in 326g of the compound.

Have a nice day!

6 0
3 years ago
PLEASE ANSWER THIS WILL MARK AS BRAINLIEST PLEASE USE TRUTHFUL ANSWERS PLEASE
luda_lava [24]
Australia separated from other continents and species there evolved independently
8 0
3 years ago
What is the sum of the coefficients when the following equation is balanced with lowest integers? C6H12O6 + O2 → CO2 + H2O A) 7
Nana76 [90]

Answer:

B. 12

Explanation:

5 0
4 years ago
Read 2 more answers
3. A rock is placed in a graduated cylinder containing water, and the cylinder is covered to avoid evaporation. The next morning
guajiro [1.7K]

Hi! Some rocks are porous material, like a sponge, with lots of air pockets inside, so they can absorbe water. In this case, the water level dropped 5.65m because tha volume of water went inside the rock filling the air pockets. The water replaced the air, that flowed to the outside water as bubbles and then to the air above the water.  

7 0
3 years ago
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