Answer:
Explanation:
Given
Initial velocity u = 200m/s
Final velocity = 4m/s
Distance S = 4000m
Required
Acceleration
Substitute the given parameters into the formula
v² = u²+2as
4² = 200²+2a(4000)
16 = 40000+8000a
8000a = 16-40000
8000a = -39,984
a = - 39,984/8000
a = -4.998m/s²
Hence the acceleration is -4.998m/s²
Answer:
a=2.378 m/s^2
Explanation:
a=Δv/Δt------eq(1)
Δv=Vf-Vi=120 km/h-0 km/h=120 km/h
or Δv=33.3 m/sec
or time=t=14s
putting values in eq(1)
a=33.3/14
a=2.378 m/s^2
Explanation:
When m=<em>mass</em>
G=<em>a</em><em>c</em><em>c</em><em>e</em><em>l</em><em>e</em><em>r</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>d</em><em>u</em><em>e</em><em> </em><em>t</em><em>o</em><em> </em><em>gravity</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>H</em><em>=</em><em>h</em><em>e</em><em>i</em><em>g</em><em>h</em><em>t</em>
<em>U</em><em>s</em><em>i</em><em>n</em><em>g</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em>u</em><em>l</em><em>a</em>
<em>M</em><em>g</em><em>h</em>
<em>(</em><em>M</em><em>=</em><em>6</em><em>, </em><em>g</em><em>=</em><em>10</em><em>,</em><em>h</em><em>=</em><em>?</em><em>) </em>
6×10×h
=60joules
Normally, the water pressure inside a pump is higher than the vapor pressure: in this case, at the interface between the liquid and the vapor, molecules from the liquid escapes into vapour form. Instead, when the pressure of the water becomes lower than the vapour pressure, molecules of vapour can go inside the water forming bubbles: this phenomenon is called
cavitation.
So, cavitation occurs when the pressure of the water becomes lower than the vapour pressure. In our problem, vapour pressure at
![15^{\circ}](https://tex.z-dn.net/?f=15%5E%7B%5Ccirc%7D)
is 1.706 kPa. Therefore, the lowest pressure that can exist in the pump without cavitation, at this temperature, is exactly this value: 1.706 kPa.
Answer:
Explanation:
Calculate the volume of the lead
![V=\frac{m}{d}\\\\=\frac{10g}{11.3g'cm^3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bm%7D%7Bd%7D%5C%5C%5C%5C%3D%5Cfrac%7B10g%7D%7B11.3g%27cm%5E3%7D)
Now calculate the bouyant force acting on the lead
![F_L = Vpg](https://tex.z-dn.net/?f=F_L%20%3D%20Vpg)
![F_L=(\frac{10g}{11.3g/cm^3} )(1g/cm^3)(9.8m/s^2)\\\\=8.673\times 10^{-3}N](https://tex.z-dn.net/?f=F_L%3D%28%5Cfrac%7B10g%7D%7B11.3g%2Fcm%5E3%7D%20%29%281g%2Fcm%5E3%29%289.8m%2Fs%5E2%29%5C%5C%5C%5C%3D8.673%5Ctimes%2010%5E%7B-3%7DN)
This force will act in upward direction
Gravitational force on the lead due to its mass will act in downward direction
Hence the difference of this two force
![T=mg-F_L\\\\=(10\times10^{-3}kg(9.8m/s^2)-8.673\times 10^{-3}\\\\=8.933\times10^{-3}N](https://tex.z-dn.net/?f=T%3Dmg-F_L%5C%5C%5C%5C%3D%2810%5Ctimes10%5E%7B-3%7Dkg%289.8m%2Fs%5E2%29-8.673%5Ctimes%2010%5E%7B-3%7D%5C%5C%5C%5C%3D8.933%5Ctimes10%5E%7B-3%7DN)
If V is the volume submerged in the water then bouyant force on the bobber is
![F_B=V'pg](https://tex.z-dn.net/?f=F_B%3DV%27pg)
Equate bouyant force with the tension and gravitational force
![F_B=T_mg\\\\V'pg=\frac{(8.933\times10^{-2}N)+mg}{pg} \\\\V'=\frac{(8.933\times10^{-2}N)+mg}{pg}](https://tex.z-dn.net/?f=F_B%3DT_mg%5C%5C%5C%5CV%27pg%3D%5Cfrac%7B%288.933%5Ctimes10%5E%7B-2%7DN%29%2Bmg%7D%7Bpg%7D%20%5C%5C%5C%5CV%27%3D%5Cfrac%7B%288.933%5Ctimes10%5E%7B-2%7DN%29%2Bmg%7D%7Bpg%7D)
Now Total volume of bobble is
![\frac{V'}{V^B} =\frac{\frac{(8.933\times10^{-2})+Mg}{pg} }{\frac{4}{3} \pi R^3 }\times100\\\\=\frac{\frac{(8.933\times10^{-2})+(3)(9.8)}{(1000)(9.8)} }{\frac{4}{3} \pi (4.0\times10^{-2})^3 }\times100\\\\](https://tex.z-dn.net/?f=%5Cfrac%7BV%27%7D%7BV%5EB%7D%20%3D%5Cfrac%7B%5Cfrac%7B%288.933%5Ctimes10%5E%7B-2%7D%29%2BMg%7D%7Bpg%7D%20%7D%7B%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20R%5E3%20%7D%5Ctimes100%5C%5C%5C%5C%3D%5Cfrac%7B%5Cfrac%7B%288.933%5Ctimes10%5E%7B-2%7D%29%2B%283%29%289.8%29%7D%7B%281000%29%289.8%29%7D%20%7D%7B%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%284.0%5Ctimes10%5E%7B-2%7D%29%5E3%20%7D%5Ctimes100%5C%5C%5C%5C)
=![\large\boxed{4.52 \%}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B4.52%20%5C%25%7D)