Hi there i need some assistance on number four part a b on...

Hi there, I need some assistance on number four part a & b on this project im doing. I attached what I've done so far but I honestly only need help on this part of the project #4:It has been suggested that an asteroid, that when striking the Earth, vaporized a large quantity of soil, rocks, including itself. This resulted in a layer of material settling out relatively uniformly over the surface of the globe. Current evidence indicates 22% of the mass of the asteroid turned to dust and resulted in about 0.022 g/cm2 of the Earth’s surface being covered a. If the asteroid had a density of about 2.0 g/cm3 and the area of the Earth is 510.1 trillion m2, calculate the mass of the asteroid. b. Calculate the radius of the asteroid. What shape would you have to assume the asteroid is to do this calculations? Could you please explain what youre doing so i can better understand?

Transcript

00:01 Hi guys, now in this column, we need to calculate the acceleration of the gravity on the different planet.

00:07 Now, an astronaut is standing on the surface of the series.

00:10 This is what? this is a different planet where the name of this one is what series.

00:14 A astronaut is standing on the surface of the series.

00:19 The largest asteroid drops a rock from a height of 10 meter.

00:23 It takes 8 .06 second to hit the ground.

00:29 So when i hit when i drop a rock from this position height of this one is what the height of this rock from this ground is equal to this is 10 meter it takes what it takes t is equal to 8 .06 second to hit the ground so we need to find a gravitational acceleration when i drop this one obviously it will put ui is equal to zero so i'll say one thing what i'll say that this 10 is equal to what one divided by 2 uy is equal to 0 so we're going to apply kinematics equation which is what h is equal to ud plus half a t square half 80 not i'll say 80 square where a is what gravitational acceleration of this planet so this is a and this is t square i'll say that 8 .06 square from there a is equal to 100 divide by this is square of this number 8 .06 6 squared since i got this one now our job is to find out the mass of this planet where the radius of this one is what the radius of this one let me say the noted as r of c let me say this is a of c this is a of c and this is what a of c r of c is equal to what this is 5 .1 times 10 to the power 2 kilometer or i'll say 10 to the bar 5 meter so i'll say one thing that this is a c is equal this is g m c c divided by r c square now we need to find out m of c so that is equal to what this is a of c times r of c divided by capital of g and capital of g is equal to it let me substitute all this value here now this value i'll say that 1 .54 meter per second square substituting this value here so this is 1 .54 times 5 .1 times 10 to the power 5 divided by capital of g so this is 6 .6 .6 .6 7 times 10 to the power minus of 11.

02:46 Further solving we have this is what, let me find out this is what 5 .1 times 1 .54 divide by 6 .67 that is equal to 1 .18 times 10 to the power 11 plus 5 that is what 16 kg.

03:05 This is mass of this planet.

03:07 Next we need to find out at the height of h is equal to 55 km what is the gravitational acceleration.

03:14 So let me say that this height is what? let me draw a different diagram.

03:18 This is a planet we have...

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