Answer:
463.4 m/s
Explanation:
The escape velocity on the surface of a planet/asteroid is given by
(1)
where
G is the gravitational constant
M is the mass of the planet/asteroid
R is the radius of the planet/asteroid
For the asteroid in this problem, we know
is the density
is the volume
So we can find its mass:
Also, the asteroid is approximately spherical, so its volume is given by
where R is the radius. Solving the formula for R, we find its radius:
![R=\sqrt[3]{\frac{3V}{4\pi}}=\sqrt[3]{\frac{3(3.32\cdot 10^{12}m^3)}{4\pi}}=9256 m](https://tex.z-dn.net/?f=R%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%283.32%5Ccdot%2010%5E%7B12%7Dm%5E3%29%7D%7B4%5Cpi%7D%7D%3D9256%20m)
So now we can use eq.(1) to find the escape velocity:
In order to add or subtract numbers expressed in scientific notation, it is important that the powers of 10 in the numbers should have the same index or else you cannot readily add or ubtract these numbers. We do as follows:<span>
a. 5.80 x 10^9 s +3.20 x 10^8 s
We need to adjust one of the numbers since they do not have the same indices. We move one place to the left of the second number making it .320 x 10^9 s. Then, we can add the numbers now:
</span>5.80 x 10^9 s +.320 x 10^9 s = 6.12 x 10^9 s<span>
b. 4.87 x 10^-6 m - 1.93 x 10^-6 m
We can subtract the numbers directly since they have the same indices.
</span>4.87 x 10^-6 m - 1.93 x 10^-6 m = 2.94 x 10^-6 m
Answer:
Pound
Explanation:
SI Unit stands for the International Standard of Unit. Thus from the options given, metre is a measure of length which is an SI unit. Kilogram is a measure of mass of a goven matter which is also an SI unit. Second is a measure of time which is an SI unit. Pound is a measure of masswhich is not an SI unit but has to be converted to kilograms which an SI unit.
<u>Answer:</u> The mass of sulfur hexafluoride is 146 u.
<u>Explanation:</u>
Mass of a mole of a substance is defined as the molar mass of that substance.
It is defined as the sum of every component each multiplied by the times they appear in that substance.
We are given:
Mass of sulfur atom = 32.0 u
Mass of fluorine atom = 19.0 u
The chemical formula for sulfur hexafluoride is 
So, the molar mass of 
Hence, the mass of sulfur hexafluoride is 146 u.
