Answer:
It will sink
Explanation:
An object in the water can float only if its density is lower than the density of the water.
In fact, for an object completely immersed in water, there are two forces acting on it:
- Its weight,
, downward, where
is the density of the object, V its volume and g the gravitational acceleration
- The buoyant force,
, upwards, there
is the density of the water
We see that when the density of an object is larger than the density of the water,
, the weight is greater than the buoyant force,
, so the object sinks.
In this case, the rock has a density of 1.73 g/cm3, while water has a density of 1.0 g/cm^3, so the rock will sink.
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To solve this problem we will use the kinematic equations of angular motion, starting from the definition of angular velocity in terms of frequency, to verify the angular displacement and its respective derivative, let's start:



The angular displacement is given as the form:
In the equlibrium we have to
and in the given position we have to

Derived the expression we will have the equivalent to angular velocity

Replacing,

Finally

Therefore the maximum angular displacement is 9.848°
Answer:
P = ρRT/M
Explanation:
Ideal gas equation is given as follows generally:
PV = nRT (1)
P = pressure in the containing vessel
V = volume of the containing vessel
n = number of moles
R = gas constant
T = temperature in K
n = m/M
m = mass of the gas contained in the vessel in g
M = molar mass in g/mol
ρ = m/V
Density of the gas = ρ
Substituting for n in (1)
PV = mRT/M. (2)
Dividing equation (2) through by V
P = m/V ×RT/M
P = ρRT/M