Answer:
a

b

Explanation:
From the question we are told that
The spring constant is 
The maximum extension of the spring is 
The number of oscillation is 
The time taken is 
Generally the the angular speed of this oscillations is mathematically represented as

where T is the period which is mathematically represented as

substituting values


Thus


this angular speed can also be represented mathematically as

=> 
substituting values


In SHM (simple harmonic motion )the equation for velocity is mathematically represented as

The velocity is maximum when

=> 
=> 
=> 
Answer:
<em>1108.464 N of force</em>
Explanation:
diameter of water hose = 70 cm = 0.7 m
radius = 0.7/2 = 0.35 m
volumetric flow rate Q = 420 L/min
1 L = 0.001 m^3
1 min = 60 s
therefore,
Q = 420 L/min = (420 x 0.001)/60 = 0.007 m^3/s
Area A of fire hose = π
= 3.142 x
= 0.38 m^2
<em>From continuity equation, Q = AV</em>
where V1 is the velocity of the water through the pipe, and A1 is the area of the pipe.
Q = A1V1
0.007 = 0.38V1
V1 = 0.007/0.38 = 0.018 m/s.
Nozzle diameter = 0.75 cm = 0.0075 m
radius = 0.00375
Area = π
= 3.142 x
= 4.42 x
m^2
velocity of water through the nozzle will be
V2 = Q/A2 = 0.007 ÷ (4.42 x
) = 158.37 m/s
From
<em>F = ρQ(v2 - v1)</em>
Where,
F = force exerted
p = density of water = 1000 kg/m^3
F = 1000 x 0.007 x (158.37 - 0.018) = <em>1108.464 N of force</em>
The basic unit of volume is the liter although the cubic centimeter and milliliter are also widely used as units for measuring volume.
Brainlest answer is always appreciated ( ͡ ͜ʖ ͡ )
The first one is faster than the other ! love you!!