Answer:
5N
Explanation:
(25 N - 20 N = 5 N)
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Answer:
Explanation:
d = width of slit = 1 / 2000 cm =5 x 10⁻⁶ m
Distance of screen D = 1 m.
wave length λ₁ and λ₂ are 577 x 10⁻⁹ and 579 x 10⁻⁹ m.respectively.
distance of third order bright fringe = 3.5 λ D/d
for 577 nm , this distance = 3.5 x 577 x 10⁻⁹ x 1 /5 x 10⁻⁶
= .403 m = 40.3 cm
For 579 nm , this distance = 3.5 x 579 x 1 / 5 x 10⁻⁶
= 40.5 cm
Distance between these two = 0.2 cm.
Answer:
The force exerted on the roof is
Explanation:
From the question we are told that
The speed of the wind is
The area of the roof is
The air density of Boulder is
The atmospheric pressure is
For a laminar flow the Bernoulli’s principle is mathematically represented as
Where is the speed of air in the building
is the speed of air outside the building
are the pressure of inside and outside the house
are the height above and below the roof
Now for
The above equation becomes
Since pressure is mathematically represented as
The above equation can be written as
The initial velocity is 0
Substituting value
Answer:
118 m/s
Explanation:
Given :
We know that
......Eq(1)
Where =v
l=length
f=frequency
l= 98.0 cm= 0.98 m
f=60.0 Hz
Now from the Eq(1)
This equation can be written as
v=2fl.............Eq(2)
Putting the value f and l in Eq(2)
v=2*60*0.98
v=117.6 m/s ~ 118 m/s
Answer:
Explanation:
We can solve for the final angular velocity of the system using the law of momentum conservation
Where is the moments of inertia of the disk before. is the moments of inertia of the disk after (if we treat the clay as a point particle). is the angular speed before.
So the final momentum of the system is 27.5 kgm2/s
Answer:
The final angular momentum is 35.75 kg.m²/s
Explanation:
Given;
mass of disk, M = 5 kg
radius of disk, R = 1 m
mass of clay, M = 3 kg
radius of clay, R = 0.5 m
final angular momentum, = 11 rad/s
Final angular momentum angular momentum of the disk that the clay lumped with;
where;
is the final moment of inertia
Final angular momentum of the disk;
=
= 3.25 x 11 = 35.75 kg.m²/s
Therefore, the final angular momentum is 35.75 kg.m²/s
Answer:
a) x = 5.48 10⁻² m and b) 0.05 m
Explanation:
a) For a system in oscillatory motion the mechanical energy conserves and is described by the equation
Em = ½ k A²
Where k is the spring constant and at the amplitude of the movement
When the spring has the greatest extent, the kinetic energy is zero
Em = U = ½ k x²
Therefore, the amplitude of the movement is the same amplitude of the spring
Let's calculate
A = √ (2Em / k)
A = √ (2 0.12 / 80)
A = 0.0548 m = 5.48 10⁻² m
b) In this case the spring has kinetic energy that becomes elastic potential energy, let's calculate the mechanical energy before and after compressing the spring
Initial
Em = K = ½ m v²
Final
Em = Ke = ½ k x²
½ m v² = ½ k x²
x = √(m/k) v
x = 2 √(0.50 /800.0)
x = 0.05 m
Answer:
a) The greatest extension of the spring is 0.055 m
b) The spring compress 0.05 m
Explanation:
Please look at the solution in the attached Word file