Answer:
0,93 atm
Explanation:
For this we will use PV = nRT
P is what we want to find
V = 1 L
n = 
= 0,038 moles
R = 0,082 
T = 25°C = 298,15 K
P * 1 = 0,038 *0,082 * 298,15
P = 0,93 atm
Answer:
The International Lawn Tennis Federation, now known simply as the International Tennis Federation, the sport's governing body, was founded in 1913, composed of 13 national tennis associations. The Modern Olympics , growing out of the ancient tradition, resurfaced under the direction of the International Olympic Committee in Athens in 1896.
Explanation:
Vertical forces:
There is a force of 579N acting upward, and a force of 579N
acting downward.
The vertical forces are balanced ... they add up to zero ...
so there's no vertical acceleration.
Not up, not down.
Horizontal forces:
There is a force of 487N acting to the left, and a force of 632N
acting to the right.
The net horizontal force is
(487-left + 632-right) - (632-right - 487-right) = 145N to the right.
The net force on the car is all to the right.
The car accelerates to the right.
Answer:
magnitude = 161.3m, ∅ = 32.9°
Explanation:
Vector addition always works the same. Add two vectors by adding their respective components.
vector A: ![\left[\begin{array}{c}85.0&0.0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D85.0%260.0%5Cend%7Barray%7D%5Cright%5D)
vector B:![101.0\left[\begin{array}{c} cos60.0&sin 60.0\end{array}\right] =\left[\begin{array}{c}50.5&87.5\end{array}\right]](https://tex.z-dn.net/?f=101.0%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D%20cos60.0%26sin%2060.0%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D50.5%2687.5%5Cend%7Barray%7D%5Cright%5D)
Adding vector A and B: ![\left[\begin{array}{c}85.0&0.0\end{array}\right] +\left[\begin{array}{c}50.5&87.5\end{array}\right] = \left[\begin{array}{c}135.5&87.5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D85.0%260.0%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D50.5%2687.5%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D135.5%2687.5%5Cend%7Barray%7D%5Cright%5D)
The magnitude of any vector ![\left[\begin{array}{c}a&b\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Da%26b%5Cend%7Barray%7D%5Cright%5D)
is given by the Pythagorean theorem:
In the case of the vector A+B:
The angle ∅ of the vector can by found by using trigonometric functions:
For instance, the angle ∅ for a vector is given by the equation:
The direction ∅ can be found by solving the trigonometric function.
In the example of vector A+B:
Solving for ∅:
