Answer: a) B = 6811N
b) m = 603.2kg
c) 86.8%
Explanation: <em>Buoyant force</em> is a force a fluid exerts on a submerged object.
It can be calculated as:
where:
is density of the fluid the object is in;
is volume of the object;
g is acceleration due to gravity, is constant and equals 9.8m/s²
a) For the hollow plastic sphere, density of water is 1000kg/m³:
B = 6811N
b) Anchored to the bottom, the forces acting on the sphere are <u>Buoyant</u>, <u>Tension</u> and <u>Force due to gravity</u>:
B = T +
B = T + mg
mg = B - T
Calculating:
m = 603.2kg
c) When the shpere comes to rest on the surface of the water, there are only <u>buoyant</u> <u>and</u> <u>gravity</u> acting on it:
B = m.g
= 0.6032m³
Fraction of the submerged volume is:
= = 0.868
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Answer:
The intensity level of the sound wave due to the ambulance is 153.5 dB.
Explanation:
The intensity level of the sound wave due to the ambulance can be calculated using the following equation:
<u>Where</u>:
I: is the intensity of the sound wave from a siren = 111.2 W/m²
I₀: is the reference intensity = 1.0x10⁻¹² W/m²
Now, since the second sound wave from a nearby ambulance has an intensity level 13 dB we have:
Therefore, the intensity level of the sound wave due to the ambulance is 153.5 dB.
I hope it helps you!
Answer:
BI/BII = 1
Explanation:
The magnetic field due to a solenoid is given by the following formula:
where,
B = Magnetic Field due to solenoid
μ = permeability of free space
n = No. of turns per unit length
I = current passing through the solenoid
Now for the first solenoid:
For the second solenoid:
Dividing both equations:
here, no. of turns and the current passing through each solenoid is same:
n₁ = n₂ and I₁ = I₂
Therefore,
<u>BI/BII = 1</u>
Answer:
The time taken by the object to reach the ground is 0.58 seconds.
Explanation:
Given that,
An object was released from rest at height of 1.65 m with respect to ground. We need to find the time taken by the object to reach the ground. Initial speed of the object is 0 as it is at rest. It will move downward under the action of gravity such that, the distance covered by the object is given by :
t = 0.58 seconds
So, the time taken by the object to reach the ground is 0.58 seconds. Hence, this is the required solution.
In order to solve this problem it is necessary to apply the concepts related to intensity and specifically described in Malus's law.
Malus's law warns that
Where,
Angle between the analyzer axis and the polarization axis
Intensity of the light before passing through the polarizer
The intensity of the beam from the first polarizer is equal to the half of the initial intensity
Replacing with our the numerical values we get
Therefore the intensity of the light that emerges from the filter is