There are several information's already given in the question. Based on those given information's the answer can be easily deduced.
First angle of depression = 18°33'
= [18 + (33/60)] degree
= 18.55 degrees
Second angle of depression = 51°33'
= [51 + (33/60)] degrees
= 51.55 degrees
Height of the lighthouse = 200 feet
Then
Distance traveled by the boat from when it
was first noticed until it stopped = (200/tan 18.55) - (200/tan 51.55)
= (200/0.3356) - (200/1.2594)
= 594.95 - 158.81
= 436.14 feet
I hope the procedure is clear enough for you to understand.
Answer:
The angular acceleration of the pencil<em> α = 17 rad·s⁻²</em>
Explanation:
Using Newton's second angular law or torque to find angular acceleration, we get the following expressions:
τ = I α (1)
W r = I α (2)
The weight is that the pencil has is,
sin 10 = r / (L/2)
r = L/2(sin(10))
The shape of the pencil can be approximated to be a cylinder that rotates on one end and therefore its moment of inertia will be:
I = 1/3 M L²
Thus,
mg(L / 2)sin(10) = (1/3 m L²)(α)
α(f) = 3/2(g) / Lsin(10)
α = 3/2(9.8) / 0.150sin(10)
<em> α = 17 rad·s⁻²</em>
Therefore, the angular acceleration of the pencil<em> </em>is<em> 17 rad·s⁻²</em>
<span>Gay-Lussac's Law: The Pressure Temperature Law</span>
Answer: No, The energy will remain the same
Explanation: Doubling the mass and leaving the amplitude unchanged won't have any effect on the total energy of the system.
At maximum displacement, E=0.5kA^2
Where E = total energy
K = spring constant
A = Amplitude
From the formula above : Total Energy is independent of mass,. Therefore, total energy won't be affected by Doubling the mass value of the object.
Also when the object is at a displacement 'x' from its equilibrium position.
E = Potential Energy(P.E) + Kinetic Energy(K.E)
P.E = 0.5kx^2
Where x = displacement from equilibrium position
E = Total Energy
K. E= E-0.5kx^2
From the relation above, total energy is independent of its mass and therefore has no effect on the total energy.
Bromine has 7 electrons in their valence shell.......
