Use V=Voe^-t/RC and T=RC to derive T1/2=Tln2
1 answer:
Enclosed is some guidance algebra.I find this q a little confusing. It quotes "RC" which usually makes me think of electrical circuits and time constants based on converting calculating RC value and equating that to t for one time constant then 2RC for two time constants etc. The theory being that after 5 time constants - 5RC - a circuit is stable. BUT, this q then goes on to mention HALF LIFE. The curves for both half life and time constant are both exponential, as in the number e to the power of something, but the algebra is slightly different. I hope my algebra is ok.
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Answer:
Mass=0.305[kg]
Explanation:
The block is located on a surface, where no forces act on it, so it will remain at rest according to Newton's laws.
We can perform an analysis of forces on the y-axis (see the free body diagram) and in order to determine the equation to determine the mass of the body, we must remember that the value of a force influenced by gravity is equal to the product of mass by acceleration.
From this equation we can clear the value of the mass
Answer:
f' = 3665.51 Hz
Explanation:
given,
speed of the hawk = 24.7 m/s
frequency of screech emitted by the hawk = 3400 Hz
speed of sound = 331 m/s
By Doppler's effect
f' is the frequency received by the mouse
v is the speed of the sound
v_s is the speed of the hawk
now,
f' = 1.078 x 3400
f' = 3665.51 Hz
The frequency received by the stationary mouse is equal to 3665.51 Hz