The temperature and the solubility of sugar at that temperature
Explanation:
The amount of substance which can be dissolved in the solvent depends on the temperature.
As the temperature increases, more substance can be dissolved.
A solution is saturated if any more of the solute cannot be dissolved in the solution at the given temperature
Hence we need to know the temperature and also the amount of substance which can be dissolved(solubility) at the same temperature
a) the statement given in option A is correct
b) molar mass has no correlation with the substance's solubility and hence option b is not correct
c) The percent by volume of the solution is not needed to find if the solution is saturated and hence option c is not correct
Answer:
Kinetic energy, E = 133.38 Joules
Explanation:
It is given that,
Mass of the model airplane, m = 3 kg
Velocity component, v₁ = 5 m/s (due east)
Velocity component, v₂ = 8 m/s (due north)
Let v is the resultant of velocity. It is given by :


Let E is the kinetic energy of the plane. It is given by :


E = 133.38 Joules
So, the kinetic energy of the plane is 133.38 Joules. Hence, this is the required solution.
1) Yes
2) 
Explanation:
1)
To solve this part, we have to calculate the pressure at the depth of the batyscaphe, and compare it with the maximum pressure that it can withstand.
The pressure exerted by a column of fluid of height h is:

where
is the atmospheric pressure
is the fluid density
is the acceleration due to gravity
h is the height of the column of fluid
Here we have:
is the sea water density
h = 5440 m is the depth at which the bathyscaphe is located
Therefore, the pressure on it is

Since the maximum pressure it can withstand is 60 MPa, then yes, the bathyscaphe can withstand it.
2)
Here we want to find the force exerted on the bathyscaphe.
The relationship between force and pressure on a surface is:

where
p is hte pressure
F is the force
A is the area of the surface
Here we have:
is the pressure exerted
The bathyscaphe has a spherical surface of radius
r = 3 m
So its surface is:

Therefore, we can find the force exerted on it by re-arranging the previous equation:

The elastic potential energy of the spring is 6.8 J
Explanation:
The elastic potential energy of a compressed/stretched spring is given by the equation:

where
k is the spring constant
x is the elongation of the spring
The spring constant of the spring in this problem can be found by keeping in mind the relationship between force (F) and elongation (x) (Hooke's law):

By looking at the graph and comparing it with the formula, we realize that the slope of the force-elongation graph corresponds to the spring constant. Therefore in this case,

Therefore when the spring has a elongation of
, its potential energy is

Learn more about potential energy:
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