Explanation:
It s given that,
Mass of a planet, ![M=3.7\times 10^{24}\ kg](https://tex.z-dn.net/?f=M%3D3.7%5Ctimes%2010%5E%7B24%7D%5C%20kg)
Radius of a planet, ![R=9.2\times 10^{6}\ m](https://tex.z-dn.net/?f=R%3D9.2%5Ctimes%2010%5E%7B6%7D%5C%20m)
(1) We need to find the acceleration due to gravity for a person on the surface of the planet. Its formula is given by :
![g=\dfrac{GM}{R^2}](https://tex.z-dn.net/?f=g%3D%5Cdfrac%7BGM%7D%7BR%5E2%7D)
![g=\dfrac{6.67\times 10^{-11}\ Nm^2/kg^2\times 3.7\times 10^{24}\ kg}{(9.2\times 10^{6}\ m)^2}](https://tex.z-dn.net/?f=g%3D%5Cdfrac%7B6.67%5Ctimes%2010%5E%7B-11%7D%5C%20Nm%5E2%2Fkg%5E2%5Ctimes%203.7%5Ctimes%2010%5E%7B24%7D%5C%20kg%7D%7B%289.2%5Ctimes%2010%5E%7B6%7D%5C%20m%29%5E2%7D)
![g=2.91\ m/s^2](https://tex.z-dn.net/?f=g%3D2.91%5C%20m%2Fs%5E2)
(2) The escape velocity is given by :
![v=\sqrt{\dfrac{2GM}{R}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7B2GM%7D%7BR%7D%7D)
![v=\sqrt{{\dfrac{2\times 6.67\times 10^{-11}\ Nm^2/kg^2\times 3.7\times 10^{24}\ kg}{9.2\times 10^{6}\ m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%7B%5Cdfrac%7B2%5Ctimes%206.67%5Ctimes%2010%5E%7B-11%7D%5C%20Nm%5E2%2Fkg%5E2%5Ctimes%203.7%5Ctimes%2010%5E%7B24%7D%5C%20kg%7D%7B9.2%5Ctimes%2010%5E%7B6%7D%5C%20m%7D%7D)
v = 7324.61 m/s
Hence, this is the required solution.
The formula for velocity vf = vi + at
First list your given information
2m/s Is your initial velocity (vi)
6m/s is you final velocity (vf)
2 seconds is your time (t)
Since you want the a for acceleration get a by itself
a = (vf-vi)/t
So a= (6-2)/2
a= 4/2
a=2
Now units
the units for acceleration are m/s
![x^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20)
2m/s
Archimedes found a piece of gold and a piece of silver with exactly the same mass. He dropped the gold into a bowl filled to the brim with water and measured the volume of water that spilled out. Then he did the same thing with the piece of solver. Although both metals had the same mass, the silver gad a larger volume; therefore, it displaced more water than the gold did. That's because the silver was less dense than gold. Afterwards he applied the same method to the crown for the king he served who had got a new crown from a jeweler who gave it to him. Archimedes found a piece of pure gold that had the same mass as the crown. He placed the pure gold chuck and the crown in water, one at a time. The crown displaced more water the piece of gold. Therefore, its density was less than pure gold.
Answer:
75k
Explanation:
You can see solution in the picture
200 N, that is if the force is balanced and the wall doesn't move