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3 years ago

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In 2014, the Rosetta space probe reached the comet Churyumov Gerasimenko. Although the comet's core is actually far from spheric

al, in this problem we'll model it as a sphere with a mass of 1.0 × 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet's surface, how long would it take to hit the surface?

1 answer:

Viktor [21]3 years ago

8 0

To solve this problem we will apply the concepts related to gravity according to the Newtonian definitions. From finding this value we will use the linear motion kinematic equations to find the time. Our values are

Comet mass $M = 1.0*10^{13} kg$

Radius $r = 1.6km = 1600 m$

Rock was dropped from a height 'h' from surface = 1m

The relation for acceleration due to gravity of a body of mass 'm' with radius 'r' is

$g = \frac{GM}{R^2}$

Where G means gravitational universal constant and M the mass of the planet

$g = \frac{(6.67408*10^{-11})(1*10^{13})}{1600^2}$

$g = 2.607*10^{-4} m/s^2$

Now calculate the value of the time

$h = \frac{1}{2} gt^2$

$t = \sqrt{\frac{2h}{g}}$

$t = \sqrt{\frac{2(1)}{2.607*10^{-4}}}$

$t = 87.58s$

The time taken for the rock to reach the surface is t = 87.58s

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What is a precipitate?

Lunna [17]

Rain is considered a precipitate. Along with: drizzle, sleet, snow and hail.

hope this helps :)

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4 years ago

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A car is moved 26km/hr due east for 4minute.what is its average velocity in m/s?

fenix001 [56]

Answer:

25m/sec

Explanation:

Speed of car in first 15 minutes = 40 km/h

Distance covered = speed × Time taken

60 minutes = 1 hour

15 minutes =

60

15

hour

Distance covered = 240×

60

15

=10km

Speed of car in next 15 minutes = 60 km/h

Distance covered = 60×

60

15

=15km

∴ Total distance covered = (10+15)km = 25 km

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3 years ago

Explain how energy balance sets planetary temperature? Imagine a planet colder than expected for energy balance and explain why

RUDIKE [14]

The planetary temperature energy balance is obtained by radiating back the absorbed radiation energy from outer-space, by the planet and thus acquiring thermal equilibrium.

What is the process of attaining thermal equilibrium by Earth?

The Stefan-Boltzmann law states that the more the temperature a planet has, the more it will radiate out to reach thermal equilibrium.

We know that outer space contains large masses of radiative energy freely distributed in its vast expanse. A small fraction of this energy is absorbed by the Earth through the atmosphere, surface land, clouds etc.

Now, radiative balance is achieved when a planet's surface continuously warms up until it reaches its peak at which point the same amount of absorbed energy can then be radiated back to space. The relative amount of energy radiated back by a planet is dependent upon the size of the planet.

A colder planet relatively absorbs lower amount of radiation energy from space. In some time, as the planet heats up enough, the energy is radiated back to the space attaining thermal equilibrium.

Learn more about Stefan-Boltzmann law here:

<u>brainly.com/question/14919749</u>

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6 0

2 years ago

Two waves have amplitudes of 10 m and 7 m, respectively. What are the maximum and minimum amplitudes of the resultant wave if th

kaheart [24]

Regarding amplitude, we have that these are properties that can be added or subtracted from each other. We are given the amplitude of two waves, their absolute value of the sum or subtraction will give us the minimum and maximum value, our values are determined as

$A_1 = 10m$

$A_2 = 7m$

Therefore the maximum value will be,

$A_{max} = |A_1+A_2|$

$A_{max} = |10+7|$

$A_{max} = 17m$

And the minimum value will be,

$A_{min} = |A_1-A_2|$

$A_{min} = 10-7$

$A_{min} = 3m$

Therefore the correct option is C.

7 0

3 years ago

Acceleration is sometimes expressed in multiples of g, where g = 9.8 m/s^2 is the magnitude of the acceleration due to the earth

Serga [27]

Answer:

Acceleration = 18g

Explanation:

Given the following data;

Initial velocity, u = 26m/s

Final velocity, v = 0

Time = 0.15 secs

To find the acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

$Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}$

Substituting into the equation, we have;

$a = \frac{0 - 26}{0.15}$

$a = \frac{26}{0.15}$

Acceleration = 173.33m/s2

To express it in magnitude of g;

Acceleration = 173.33/9.8

Acceleration = 17.7 ≈ 18g

Acceleration = 18g

6 0

3 years ago