If we start taking into account the free body diagram, we then start damping motion of a body by means of this equation:
<span>m * d^2 x/dt^2 + c* dx/dt + k* x = 0 </span>
<span>free undamped motion is when (c =0) </span>
<span>therefore </span>
<span>50* d^2 x/dt^2 + 200* x = 0 </span>
<span>w = omega = sqrt(k/m) = sqrt(200/50) = 2 </span>
<span>Then </span>
<span>A*cos(w*t) + B*sin(w*t) = x </span>
<span>find A and B using intial conditions and you will get the rest that you need. Hope this helps</span>
Answer:
Jump Ball; used to start the game. The referee throws the ball up in the air, above two members of opposite teams, who have to jump up to try and tap the ball towards one of their teammates.
Assist: a pass made from one player to another, that directly leads to making a basket. For a pass to count as an assist, the ball has to be passed directly to the played who scores, and points must be earned.
Steal: when a defensive player intercepts the ball from an offensive player.
Lay Up: a shot made from below, by running up to the basket from the side, jumping, and bouncing the ball off of the backboard, into the basket.
Technical Foul: a foul given for "unsportsmanlike behaviour", such as making fun of an opponent.
Answer:
Explanation:
We are given that
Final velocity, v=199 km/h=
1km/h=
Initial velocity, u=0
S=2000 m
We know that
Using the formula
Hence, the minimum acceleration necessary for the plane to take flight=
Answer:
0.015 atm
Explanation:
The pressure of the gas can be calculated using Ideal Gas Law:
<u>Where:</u>
n: is the number of moles of the gas
R: is the gas constant = 0.082 L*atm/(K*mol)
V: is the volume of the container = 1.64 L
T: is the temperature
We need to find the number of moles and the temperature. The number of moles is:
<u>Where:</u>
M: is the molar mass of the N₂ = 14.007 g/mol*2 = 28.014 g/mol
m: is the mass of the gas = 0.226 g
Now, the temperature can be found using the following equation:
<u>Where:</u>
R: is the gas constant = 0.082 L*atm/K*mol = 8.314 J/K*mol
: is the root-mean-square speed of the gas = 182 m/s
By solving the above equation for T, we have:
Finally, we can find the pressure of the gas:
Therefore, the pressure of the gas is 0.015 atm.
I hope it helps you!
d is diameter, A is the area and v is the speed ,
Area*speed is the quantity of air flowing per second.
A v = πd² v/4 = 1.5 liters /second = 0.0015 m^3/s
v = 0.0015*4/(π*0.0074²) =35 m/s
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2
Using Bernoulli equation
ρ v₂²/2 = hdg where ρ is density of air and d is density of water
h = ρ v₂²/ (2dg) = 1.25*34.8769² /(2*1000*9.8) =0.07758 = 0.078 m