Answer:
Explanation:
Given
Original Frequency 
apparent Frequency 
There is change in frequency whenever source move relative to the observer.
From Doppler effect we can write as

where
apparent frequency
v=velocity of sound in the given media
velocity of source
velocity of observer
here 




i.e.fork acquired a velocity of 
distance traveled by fork is given by

where v=final velocity
u=initial velocity
a=acceleration
s=displacement



acceleration of rocket is given here as

now we know that

now integrating both sides



here since its given that rocket will accelerate for t = 10 s
so here we have


so after t = 10 s the speed of rocket will be 130 m/s upwards
Answer:
A.)1.52cm
B.)1.18cm
Explanation:
angular speed of 120 rev/min.
cross sectional area=0.14cm²
mass=12kg
F=120±12ω²r
=120±12(120×2π/60)^2 ×0.50
=828N or 1068N
To calculate the elongation of the wire for lowest and highest point
δ=F/A
= 1068/0.5
δ=2136MPa
'E' which is the modulus of elasticity for alluminium is 70000MPa
δ=ξl=φl/E =2136×50/70000=1.52cm
δ=F/A=828/0.5
=1656MPa
δ=ξl=φl/E
=1656×50/70000=1.18cm

Answer:
Total number of electrons

electrons removed from each sphere

Fraction of electrons transferred is given as

Explanation:
As we know that moles is defined as



so number of atoms of Al in each sphere is given as


Now number of electrons in each atom is given as
atomic number = number of electrons in each atom = 13
total number of electrons in each sphere is


Also we know that force of attraction between them is given as



now we have




Fraction of electrons transferred is given as


Answer:
Sample Response: If temperature and surface area increase, then the time it takes for sodium bicarbonate to completely dissolve will decrease, because increasing both factors increases the rate of a chemical reaction.
Explanation: