Answer:
K.Eₓ = 4 K.E
K.Eₓ = 9 K.E
Explanation:
Th formula for the kinetic energy of a body is given as follows:
---------------equation (1)
where,
K.E = Kinetic Energy of Automobile
m = mass of automobile
v = speed of automobile
For twice speed:
vₓ = 2v
then,
using equation (1):
<u>K.Eₓ = 4 K.E</u>
For thrice speed:
vₓ = 3v
then,
using equation (1):
<u>K.Eₓ = 9 K.E</u>
Answer:
Explanation:
In order to solve this problem, we mus start by drawing a free body diagram of the given situation (See attached picture).
From the free body diagram we can now do a sum of forces in the x and y direction. Let's start with the y-direction:
so:
now we can go ahead and do a sum of forces in the x-direction:
the sum of forces in x is 0 because it's moving at a constant speed.
so now we solve for theta. We can start by factoring mg so we get:
we can divide both sides into mg so we get:
this tells us that the problem is independent of the mass of the object.
we now divide both sides of the equation into so we get:
so we now take the inverse function of tan to get:
so now we can find our angle:
so
Answer:
h=17357.9m
Explanation:
The atmospheric pressure is just related to the weight of an arbitrary column of gas in the atmosphere above a given area. So, if you are higher in the atmosphere less gass will be over you, which means you are bearing less gas and the pressure is less.
To calculate this, you need to use the barometric formula:
Where R is the gas constant, M the molar mass of the gas, g the acceleration of gravity, T the temperature and h the height.
Furthermore, the specific gas constant is defined by:
Therefore yo can write the barometric formula as:
at the surface of the planet (h =0) the pressure is
applying to the previuos equation:
solving for h:
h=17357.9m