The 3rd option if not sorry I think that is the answer
According to Charles law, we know, at constant pressure, volume is directly proportional to temperature.
So, <span>V/T = constant
</span>
V₁/t₁ = V₂/t₂
V₁t₂ = V₂t₁
Here, we have: V₁ = 9 mL
V₂ = ?
T₂ = 50+272 = 323 K
T₁ = 19+273 = 292 K
Substitute their values into the expression:
9 × 323 = V₂ × 292
V₂ = 2907 / 292
V₂ = 9.95
After rounding-off to unit place value, it would be equal to 10 mL
So, In short Option C would be your correct answer.
Hope this helps!
Answer:
See the explanation below
Explanation:
To solve this problem we must decompose the initial speeds into x & y.
![v_{o}_{x}=25*cos(45)=17.67[m/s]\\v_{o}_{y}=25*sin(45)=17.67[m/s]\\](https://tex.z-dn.net/?f=v_%7Bo%7D_%7Bx%7D%3D25%2Acos%2845%29%3D17.67%5Bm%2Fs%5D%5C%5Cv_%7Bo%7D_%7By%7D%3D25%2Asin%2845%29%3D17.67%5Bm%2Fs%5D%5C%5C)
The acceleration of gravity is equal to g = 9.81[m/s^2] downward.
The maximum height is when the velocity of the projectile is zero in the component y, that is, it will not be able to go higher, by means of the following kinematic equation we can find that time, for that specific condition.
a)
![v_{y}=(v_{y})_{0}+a*t\\0 = 17.67 - 9.81*t\\17.67 = 9.81*t\\t=1.8 [s]](https://tex.z-dn.net/?f=v_%7By%7D%3D%28v_%7By%7D%29_%7B0%7D%2Ba%2At%5C%5C0%20%3D%2017.67%20-%209.81%2At%5C%5C17.67%20%3D%209.81%2At%5C%5Ct%3D1.8%20%5Bs%5D)
Note: Acceleration is taken as negative as it is directed downwards.
b)
The position in the x component can be found using the following kinematic equation
![x=(v_{x})_{o}*t\\x=17.67*1.8\\x=31.82[m]](https://tex.z-dn.net/?f=x%3D%28v_%7Bx%7D%29_%7Bo%7D%2At%5C%5Cx%3D17.67%2A1.8%5C%5Cx%3D31.82%5Bm%5D)
The position in the y component can be found using the following kinematic equation
![y =(v_{y})_{o}*t+\frac{1}{2} *g*t^{2} \\y=17.67*1.8-0.5*9.81*(1.8)^{2}\\ y=15.91[m]](https://tex.z-dn.net/?f=y%20%3D%28v_%7By%7D%29_%7Bo%7D%2At%2B%5Cfrac%7B1%7D%7B2%7D%20%2Ag%2At%5E%7B2%7D%20%5C%5Cy%3D17.67%2A1.8-0.5%2A9.81%2A%281.8%29%5E%7B2%7D%5C%5C%20y%3D15.91%5Bm%5D)
c)
Since the motion on the X-axis is at constant speed, there is no acceleration, so the only acceleration that exists is due to gravity
d)
In the attached image we can see, the projectile with the vectors of acceleration and velocity.