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NeTakaya
4 years ago
8

Calculate [H3O+] of a 0.150 M acetic acid solution.​

Physics
1 answer:
Butoxors [25]4 years ago
6 0

Answer:

[H3O+] = 0.00520 M

Explanation:

The dissociation of acetic acid in water is given by the equation;

CH3COOH + H2O<-------> H3O+ + CH3COO-  

ka =  [H+][C2H3O2-]/[HC2H3O2]

Ka = 1.8 x 10^-5

      = x^2 / 0.150-x  

x = [H3O+]= 0.00520 M  

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A coin of mass 0.05 kg is placed at a radius r= 0.1m meter on a horizontal turntable which is turning uniformly at a rate of one
Vsevolod [243]

Answer:F=0.0882kg

Explanation:

The period it takes to make one revolution is 1.5 seconds / revolutions,

v = r * (change in angle / change in time)

the change in angle is 2pi, for one whole revolution. the time is 1.5 second per revolution, and the radius is 0.1.

v = (2 * pi * 0.1 cm * / 1.5second

v = 0.42m/s

a=v^2/r

a=0.42^2 /0.1 =1.764m/s2

F=ma

F=0.05*1.764

F=0.0882kg

4 0
3 years ago
The frequency of a microwave signal is 9.76 ghz. what is its wavelength? (c = 3.00 × 108 m/s)
dolphi86 [110]
The basic relationship between frequency of an electromagnetic wave and wavelength of the wave is
c = \lambda f
where c=3 \cdot 10^8 m/s is the speed of light.

Manipulating the equation, we can rewrite it as
\lambda =  \frac{c}{f}

The frequency of the wave in our problem is
9.76 GHz = 9.76 \cdot 10^9 Hz
so if we use the previous formula, we find the correspondant wavelength:
\lambda =  \frac{3 \cdot 10^8 m/s}{9.76 \cdot 10^9 Hz} =0.031 m
8 0
3 years ago
A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.03 s la
Nookie1986 [14]

Answer:

h=53.09m         (2)

v_{min}>5.05m/s

v_{max}

Explanation:

<u>a)Kinematics equation for the first ball:</u>

v(t)=v_{o}-g*t

y(t)=y_{o}+v_{o}t-1/2*g*t^{2}

y_{o}=h       initial position is the building height

v_{o}=8.9m/s      

The ball reaches the ground, y=0, at t=t1:

0=h+v_{o}t_{1}-1/2*g*t_{1}^{2}

h=1/2*g*t_{1}^{2}-v_{o}t_{1}           (1)

Kinematics equation for the second ball:

v(t)=v_{o}-g*t

y(t)=y_{o}+v_{o}t-1/2*g*t^{2}

y_{o}=h       initial position is the building height

v_{o}=0       the ball is dropped

The ball reaches the ground, y=0, at t=t2:

0=h-1/2*g*t_{2}^{2}

h=1/2*g*t_{2}^{2}         (2)

the second ball is dropped a time of 1.03s later than the first ball:

t2=t1-1.03              (3)

We solve the equations (1) (2) (3):

1/2*g*t_{1}^{2}-v_{o}t_{1}=1/2*g*t_{2}^{2}=1/2*g*(t_{1}-1.03)^{2}

g*t_{1}^{2}-2v_{o}t_{1}=g*(t_{1}^{2}-2.06*t_{1}+1.06)

g*t_{1}^{2}-2v_{o}t_{1}=g*(t_{1}^{2}-2.06*t_{1}+1.06)

-2v_{o}t_{1}=g*(-2.06*t_{1}+1.06)

2.06*gt_{1}-2v_{o}t_{1}=g*1.06

t_{1}=g*1.06/(2.06*g-2v_{o})

vo=8.9m/s

t_{1}=9.81*1.06/(2.06*9.81-2*8.9)=4.32s

t2=t1-1.03              (3)

t2=3.29sg

h=1/2*g*t_{2}^{2}=1/2*9.81*3.29^{2}=53.09m         (2)

b)t_{1}=g*1.06/(2.06*g-2v_{o})

t1 must :   t1>1.03  and t1>0

limit case: t1>1.03:

1.03>9.81*1.06/(2.06*g-2v_{o})

1.03*(2.06*9.81-2v_{o})

20.8-2.06v_{o}

(20.8-10.4)/2.06

v_{min}>5.05m/s

limit case: t1>0:

g*1.06/(2.06*g-2v_{o})>0

2.06*g-2v_{o}>0

v_{o}

v_{max}

8 0
4 years ago
A skateboarder is moving at 1.75 m/s when she starts going up an incline that causes an acceleration of -0.20 m/s2
Rudiy27

Answer:

Approximately 7.66\; \rm m.

Explanation:

<h3>Solve this question with a speed-time plot</h3>

The skateboarder started with an initial speed of u = 1.75\; \rm m \cdot s^{-1} and came to a stop when her speed became v = 0\; \rm m \cdot s^{-1}. How much time would that take if her acceleration is a = -0.20\; \rm m \cdot s^{-1}?

\begin{aligned} t &= \frac{v - u}{a} \\ &= \frac{0\; \rm m \cdot s^{-1} - 1.75\; \rm m \cdot s^{-1}}{-0.20\; \rm m \cdot s^{-2}} \approx 8.75\; \rm s\end{aligned}.

Refer to the speed-time graph in the diagram attached. This diagram shows the velocity-time plot of this skateboarder between the time she reached the incline and the time when she came to a stop. This plot, along with the vertical speed axis and the horizontal time axis, form a triangle. The area of this triangle should be equal to the distance that the skateboarder travelled while she was moving up this incline until she came to a stop. For this particular question, that area is approximately equal to:

\displaystyle \frac{1}{2} \times 1.75\; \rm m \cdot s^{-1} \times 8.75\; \rm s \approx 7.66\; \rm m.

In other words, the skateboarder travelled 15.3\; \rm m up the slope until she came to a stop.

<h3>Solve this question with an SUVAT equation</h3>

A more general equation for this kind of motion is:

\displaystyle x = \frac{1}{2}\, (u + v) \, t = \frac{1}{2}\, (u + v)\cdot \frac{v - u}{a}= \frac{v^2 - u^2}{2\, a},

where:

  • u and v are the initial and final velocity of the object,
  • a is the constant acceleration that changed the velocity of this object from u to v, and
  • x is the distance that this object travelled while its velocity changed from u to v.

For the skateboarder in this question:

\begin{aligned}x &= \frac{v^2 - u^2}{2\, a}\\ &= \frac{\left(0\; \rm m \cdot s^{-1}\right)^2 - \left(1.75\; \rm m \cdot s^{-1}\right)^2}{2\times \left(-0.20\; \rm m \cdot s^{-2}\right)}\approx 7.66\; \rm m \end{aligned}.

6 0
4 years ago
Based on the model, which statement best explains why point A is
Vladimir79 [104]
It’s D.Earths northern hemisphere is tilted toward the sun
6 0
3 years ago
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