Answer:
258 Hz or 266 Hz
Explanation:
When two sounds of similar frequency occur at the same time, a phenomenon called "beat" occurs. The beat is an interference patter between the two sounds; the frequency of this beats (called beat frequency) is given by the difference between the frequencies of the two sounds:
![f_B = |f_1 -f_2|](https://tex.z-dn.net/?f=f_B%20%3D%20%7Cf_1%20-f_2%7C)
where
is the beat frequency
is the frequency of the 1st sound
is the frequency of the 2nd sound
In this problem,
is the beat frequency
is the frequency of the middle C tuning fork
is the frequency of the middle C piano string
Solving for f2, we find two solutions:
![f_2=f_1-f_B = 262-4 = 258 Hz\\f_2 = f_1+f_B = 262+4=266 Hz](https://tex.z-dn.net/?f=f_2%3Df_1-f_B%20%3D%20262-4%20%3D%20258%20Hz%5C%5Cf_2%20%3D%20f_1%2Bf_B%20%3D%20262%2B4%3D266%20Hz)
Answer:
Aluminum hydrochloric acid
Explanation:
Aluminum reacts with diluted hydrochloric acid at room temperature. The metal aluminium dissolves in hydrochloric acid, producing aluminum chloride and colorless hydrogen gas. The reaction taking place between aluminium and hydrochloric acid is irreversible. And the final products will not react with each other.
Answer:
X = 5.44 m
Explanation:
First we can calculate the normal force acting from the floor to the ladder.
W₁+W₂ = N
W1 is the weigh of the ladder
W2 is the weigh of the person
So we have:
![N=755.37 N](https://tex.z-dn.net/?f=N%3D755.37%20N)
The friction force is:
![F_{force}=\mu N=0.5\cdot 755.37=377.68 N](https://tex.z-dn.net/?f=F_%7Bforce%7D%3D%5Cmu%20N%3D0.5%5Ccdot%20755.37%3D377.68%20N)
Now let's define the conservation of torque about the foot of the ladder:
Solving this equation for X, we have:
![X = \frac{377.68\cdot 7.5\cdot sin(53)-21\cdot 9.81\cdot 3.75 \cdot cos(53)}{56\cdot 9.81\cdot cos(53)}](https://tex.z-dn.net/?f=X%20%3D%20%5Cfrac%7B377.68%5Ccdot%207.5%5Ccdot%20sin%2853%29-21%5Ccdot%209.81%5Ccdot%203.75%20%5Ccdot%20cos%2853%29%7D%7B56%5Ccdot%209.81%5Ccdot%20cos%2853%29%7D)
Finally, X = 5.44 m
Hope it helps!
Answer:
29.4m/s
Explanation:
Given parameters:
Time = 3s
Unknown:
Average velocity = ?
Solution:
To solve this problem, we use the expression below:
v = u + gt
v is the average velocity
u is the initial velocity = 0m/s
g is the acceleration due to gravity = 9.8m/s²
t is the time
So;
v = 0 + (9.8 x 3) = 29.4m/s