Answer:
Explanation:
<u>Net Force</u>
The Second Newton's law states that an object acquires acceleration when an external unbalanced net force is applied to it.
That acceleration is proportional to the net force and inversely proportional to the mass of the object.
It can be expressed with the formula:
Where
Fn = Net force
m = mass
The m=200 kg crate is pushed horizontally with a force Fa=700 N. The friction force opposes motion and a horizontal net force appears causing the acceleration.
The forces on the vertical direction are in balance since the crate does not accelerate in that direction, thus the weight and the normal force are equal:
N = W = mg
The friction force can be calculated by using the coefficient of friction μ:
Calculating the normal force:
N = 200 * 9.8 = 1,960 N
The friction force is:
The horizontal net force is:
Finally, the acceleration is computed:
To solve the problem it is necessary to apply the definition of Newton's second Law and the definition of density.
Density means the relationship between volume and mass:
While Newton's second law expresses that force is given by
F = ma
Where,
m = mass
a= acceleration (gravity at this case)
In the case of the given data we have to,
In equilibrium, the entire system is equal to zero, therefore
Where,
Weight of balloon
Weight of helium gas
Bouyant force
Then we have,
Replacing the values we have that
Now by ideal gas law we have that
But the relation \frac{n}{m} is equal to the inverse of molar mass, that is
Therefore the pressure of the helium gas assuming it is ideal is 0.61Mpa
Answer:
8.136×10⁻⁵ J
Explanation:
Applying,
Q = Cv................ Equation 1
Where Q = Charge on the capacitor, v = voltage of the battery, C = capacitance of the capacitor.
From the question,
Given: C = 6.78μF = 6.78×10⁻⁶ F, v = 12 V
Substitute these values into equation 1
Q = (6.78×10⁻⁶ )(12)
Q = 8.136×10⁻⁵ J
Hence the charge on the capacitor is 8.136×10⁻⁵ J
direction ................................................................
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