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Answer:
m = 105.37 kg
Explanation:
We are given;
Mass of man; m = 113 kg
Length of boat = 6.3m
Now, The position of the center of mass will not change during the motion of the man.
Thus,
X_g,i = X_g,f
So,
[113(6.3) + ma]/(113 + m) = [113(3.26) + m(a +3.26)]/(113 + m)
113 + m will cancel on both sides to give;
113(6.3) + ma = [113(3.26) + m(a +3.26)]
711.9 + ma = 368.38 + ma + 3.26m
ma will cancel out to give;
711.9 - 368.38 = 3.26m
343.52/3.26 = m
m = 105.37 kg
Answer:
Explanation:
The equivalent resistance for three resistors connected in parallel is given as
(1/R)=(1/R₁)+(1/R₂)+(1/R₃)
now we.need to.insert the value of 3 resistances but only 2 are given in the question.
So, the time needed before you hear the splash is approximately <u>2.06 s</u>.
<h3>Introduction</h3>
Hi ! In this question, I will help you. This question uses two principles, namely the time for an object to fall freely and the time for sound to propagate through air. When moving in free fall, the time required can be calculated by the following equation:



With the following condition :
- t = interval of the time (s)
- h = height or any other displacement at vertical line (m)
- g = acceleration of the gravity (m/s²)
Meanwhile, for sound propagation (without sound reflection), time propagates is the same as the quotient of distance by time. Or it can be formulated by :

With the following condition :
- t = interval of the time (s)
- s = shift or displacement (m)
- v = velocity (m/s)
<h3>Problem Solving</h3>
We know that :
- h = height or any other displacement at vertical line = 19.6 m
- g = acceleration of the gravity = 9.8 m/s²
- v = velocity = 343 m/s
What was asked :
= ... s
Step by step :
- Find the time when the object falls freely until it hits the water. Save value as





- Find the time when the sound propagate through air. Save value as




- Find the total time




<h3>Conclusion</h3>
So, the time needed before you hear the splash is approximately 2.06 s.
Answer:
time is 5.973826 sec
Explanation:
Given data
diameter D = 6.0 mm 6×
m
separated d = 0.010 m
distance (dis) 185 m
speed s = 16 m/s
wavelength = 550 nm = 550
m
to find out
How much time passes
solution
we know that for resolution we use Rayleigh's Criterion i.e
θ = 1.22 wavelength / diameter = separated / distance 1
we calculate distance 1 by put value wavelength, diameter and separated
distance 1 = diameter × separated / 1.22 wavelength
distance 1 = 6×
× 0.010 / 1.22 × 550 × 
distance 1 = 89.418778
so time will be i.e = distance (dis) - distance 1 / speed
time = ( 185 - 89.418778) / 16
time = 5.973826 sec
time is 5.973826 sec