Answer:
Explanation:
We shall apply Doppler's effect here .
original frequency = 79.79 kHz
apparent frequency due to movement of source ( bat ) = 81.63 Hz
Let the velocity of bat be v .
expression for apparent frequency can be given as follows
n = ![\frac{n_0V}{V-v}](https://tex.z-dn.net/?f=%5Cfrac%7Bn_0V%7D%7BV-v%7D)
n is apparent frequency , n₀ is original frequency , V is velocity of light and v is velocity of source of sound
Putting the values
81.63 = ![\frac{79.79\times 340}{340-v}](https://tex.z-dn.net/?f=%5Cfrac%7B79.79%5Ctimes%20340%7D%7B340-v%7D)
340-v = 332.33
v = 7.67 m /s
velocity of bat is 7.67 m /s .
Answer:
t=4.86s
Explanation:
To find the wavelength you use the following formula:
![v=\lambda f](https://tex.z-dn.net/?f=v%3D%5Clambda%20f)
v: speed of sound = 343m/s
f: frequency = 400Hz
λ: wavelength of the sound
By doing λ the subject of the formula and replacing the values of f and v you obtain:
![\lambda=\frac{v}{f}=\frac{343m/s}{400Hz}=0.85m](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7Bv%7D%7Bf%7D%3D%5Cfrac%7B343m%2Fs%7D%7B400Hz%7D%3D0.85m)
Now, to calculate the time that sound takes to reach the last row you use:
![t=\frac{d}{v}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7Bv%7D)
t: time
d: distance to the last row = 1947m
![t=\frac{1947m}{400Hz}=4.86s](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B1947m%7D%7B400Hz%7D%3D4.86s)
hence, the time is 4.86s
To calculate the ideal mechanical advantage of a lever divide the input arm by the output arm.
Mechanical advantage is the amount by which a machine can multiply an input force, calculated by dividing output Force in newtons by input force in newtons, while the ideal mechanical advantage is the mechanical advantage of a machine that has no friction, calculated by dividing the input distance by the output distance.
Answer:
741 J/kg°C
Explanation:
Given that
Initial temperature of glass, T(g) = 72° C
Specific heat capacity of glass, c(g) = 840 J/kg°C
Temperature of liquid, T(l)= 40° C
Final temperature, T(2) = 57° C
Specific heat capacity of the liquid, c(l) = ?
Using the relation
Heat gained by the liquid = Heat lost by the glass
m(l).C(l).ΔT(l) = m(g).C(g).ΔT(g)
Since their mass are the same, then
C(l)ΔT(l) = C(g)ΔT(g)
C(l) = C(g)ΔT(g) / ΔT(l)
C(l) = 840 * (72 - 57) / (57 - 40)
C(l) = 12600 / 17
C(l) = 741 J/kg°C