Answer:
A. 6.282
B. 2.03kg
Explanation:
A.
We solve using archimedes principle
L³pwood = L²dwater
We make d subject of the formula
d = Lpwood/pester
= 18x651/1000
= 18x0.651
= 11.718cm
Distance from horizontal top to water level
= 18-11.718
= 6.282cm
B.
When we place lead block
WL + L³pwoodg = L³pwaterg
WL = L³g(Pwater-Pwood)
= 0.18³x9.8(1000-651)
= 19.94N
19.94/9.8
= 2.03kg
The mass m is therefore 2.03kg
Answer:
option (e) is correct.
Explanation:
mass of adult, M = 81 kg
Gravitational Potential energy of adult, U = 2000 J
Let the height raised is h.
U = mass of adult x g x h
2000 = 81 x 9.8 x h
h = 2.52 m
mass of adult, m = 18 kg
height raised, h = 2.52 m
Potential energy of child, U' = m x g x h
U' = 18 x 2.52 x 9.8 = 444.44 J
Thus, option (e) is correct.
DB = 10 log (I/Io)
Where, Io is the reference intensity which is the minimum intensity that human can hear.
That is; Io = 10^-12
Therefore;
dB = 10 log (0.000127/10^-12) =80.79
= 81 dB
Therefore; the correct answer is 81 dB
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