Answer:
346.66 Hz
Explanation:
= Length of string which is unfingered = l
= Length of string which is vibrate when fingered = ![l-\dfrac{1}{4}l=\dfrac{3}{4}l](https://tex.z-dn.net/?f=l-%5Cdfrac%7B1%7D%7B4%7Dl%3D%5Cdfrac%7B3%7D%7B4%7Dl)
= Unfingered frequency = 260 Hz
= Fingered frequency
Frequency is inversely proportional to length
![f=\dfrac{1}{l}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7Bl%7D)
So,
![\dfrac{f_1}{f_2}=\dfrac{l_2}{l_1}\\\Rightarrow \dfrac{f_1}{f_2}=\dfrac{\dfrac{3}{4}l}{l}\\\Rightarrow \dfrac{f_1}{f_2}=\dfrac{3}{4}\\\Rightarrow f_2=\dfrac{4}{3}f_1\\\Rightarrow f_2=\dfrac{4}{3}260\\\Rightarrow f_2=346.66\ Hz](https://tex.z-dn.net/?f=%5Cdfrac%7Bf_1%7D%7Bf_2%7D%3D%5Cdfrac%7Bl_2%7D%7Bl_1%7D%5C%5C%5CRightarrow%20%5Cdfrac%7Bf_1%7D%7Bf_2%7D%3D%5Cdfrac%7B%5Cdfrac%7B3%7D%7B4%7Dl%7D%7Bl%7D%5C%5C%5CRightarrow%20%5Cdfrac%7Bf_1%7D%7Bf_2%7D%3D%5Cdfrac%7B3%7D%7B4%7D%5C%5C%5CRightarrow%20f_2%3D%5Cdfrac%7B4%7D%7B3%7Df_1%5C%5C%5CRightarrow%20f_2%3D%5Cdfrac%7B4%7D%7B3%7D260%5C%5C%5CRightarrow%20f_2%3D346.66%5C%20Hz)
The frequency of the fingered string is 346.66 Hz
Answer:
v₂ = 5.7 m/s
Explanation:
We will apply the law of conservation of momentum here:
![Total\ Initial\ Momentum = m_{1}v_{1} + m_{2}v_{2}\\](https://tex.z-dn.net/?f=Total%5C%20Initial%5C%20Momentum%20%3D%20m_%7B1%7Dv_%7B1%7D%20%2B%20m_%7B2%7Dv_%7B2%7D%5C%5C)
where,
Total Initial Momentum = 340 kg.m/s
m₁ = mass of bike
v₁ = final speed of bike = 0 m/s
m₂ = mass of Sheila = 60 kg
v₂ = final speed of Sheila = ?
Therefore,
![340\ kg.m/s = m_{1}(0\ m/s) + (60\ kg)v_{2}\\v_{2} = \frac{340\ kg.m/s}{60\ kg}\\\\](https://tex.z-dn.net/?f=340%5C%20kg.m%2Fs%20%3D%20m_%7B1%7D%280%5C%20m%2Fs%29%20%2B%20%2860%5C%20kg%29v_%7B2%7D%5C%5Cv_%7B2%7D%20%3D%20%5Cfrac%7B340%5C%20kg.m%2Fs%7D%7B60%5C%20kg%7D%5C%5C%5C%5C)
<u>v₂ = 5.7 m/s </u>
Answer:
7.1 m/s
Explanation:
First, find the time it takes for the fish to reach the water.
Given in the y direction:
Δy = 6.1 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
6.1 m = (0 m/s) t + ½ (9.8 m/s²) t²
t = 1.12 s
Next, find the velocity needed to travel 7.9 m in that time.
Given in the x direction:
Δx = 7.9 m
a = 0 m/s²
t = 1.12 s
Find: v₀
Δx = v₀ t + ½ at²
7.9 m = v₀ (1.12 s) + ½ (0 m/s²) (1.12 s)²
v₀ = 7.1 m/s
False because opposites attract. :)
Answer:
12000 miles per hour
Explanation:
If skid Marx went from zero to 10 miles in 3 seconds the his speed would have been 12000 miles per hour.