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Dimas [21]
3 years ago
10

Two ropes are attached to a tree, and forces of F⃗ 1=2.0iˆ+4.0jˆN and F⃗ 2=3.0iˆ+6.0jˆN are applied. The forces are coplanar (in

the same plane). (a) What is the resultant (net force) of these two force vectors? (b) Find the magnitude and direction of this net force.
Physics
1 answer:
vladimir1956 [14]3 years ago
7 0

Answer:

We can see that  the 2 forces are being applied in the same direction

So the resultant force will be larger than the given forces

Resultant force = (2i + 4j) + (3i + 6j)

R = 5i + 10j

Magnitude of the resultant force :

R² = i² + j²

R² = 25 + 100

R = \sqrt{125} = 5\sqrt{5}

Direction of the resultant force:

Tan Θ = Vertical component of force / Horizontal component of force

<em>Tan Θ = 10 / 5</em>

<em>Tan Θ = 2</em>

<em>Θ = Arctan (2)</em>

Θ = 63.4 degrees

Direction is 63.4 degrees in the NE direction

Kindly mark Brainliest

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A 6- F capacitor is charged to 90 V and is then connected across a 700- resistor. What is the initial charge on the capacitor
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As the concentration of a solute in a solution increases, the freezing point of the solution ________ and the vapor pressure of
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Answer:

As the concentration of a solute in a solution increases, the freezing point of the solution <u><em>decrease </em></u>and the vapor pressure of the solution <em><u>decrease </u></em>.

Explanation:

Depression in freezing point :

\Delta T_f=K_f\times m

where,

\Delta T_f =depression in freezing point =  

K_f = freezing point constant  

m = molality  ( moles per kg of solvent) of the solution

As we can see that from the formula that higher the molality of the solution is directly proportionate to the depression in freezing point which means that:

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  2. If molality of the solution in low the depression in freezing point of teh solution will be lower .

Relative lowering in vapor pressure of the solution is given by :

\frac{p_o-p_s}{p_o}=\chi_{solute}

p_o = Vapor pressure of pure solvent

p_s  = Vapor pressure of solution

\chi_{solute} = Mole fraction of solute

p_s\propto \frac{1}{\chi_{solute}}

Vapor pressure of the solution is inversely proportional to the mole fraction of solute.

  1. Higher the concentration of solute more will the be solute's mole fraction and decrease in vapor pressure of the solution will be observed.
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