Answer:
A) because wave speed remains constant.
Explanation:
The wave speed of a wave in a medium depends on the nature of the medium.
For transverse waves in a string given by,
, T = tension , m = linear density
For longitudinal waves in a solid,
, ξ = modulus of elasticity, ρ = density
Like wise for different media, different properties and parameters govern the speed of waves moving through them.
It is important to mind in v = fλ ,f or λ does not influence on speed of wave in a medium but shows how f and λ varies as a wave propagate in a medium(/media).
Answer:
v_{f} = 74 m/s, F = 230 N
Explanation:
We can work on this exercise using the relationship between momentum and moment
I = ∫ F dt = Δp
bold indicates vectors
we can write this equations in its components
X axis
Fₓ t = m ( -v_{xo})
Y axis
t = m (v_{yf} - v_{yo})
in this case with the ball it travels horizontally v_{yo} = 0
Let's use trigonometry to write the final velocities and the force
sin 30 = v_{yf} / vf
cos 30 = v_{xf} / vf
v_{yf} = vf sin 30
v_{xf} = vf cos 30
sin40 = F_{y} / F
F_{y} = F sin 40
cos 40 = Fₓ / F
Fₓ = F cos 40
let's substitute
F cos 40 t = m ( cos 30 - vₓ₀)
F sin 40 t = m (v_{f} sin 30-0)
we have two equations and two unknowns, so the system can be solved
F cos 40 0.1 = 0.4 (v_{f} cos 30 - 20)
F sin 40 0.1 = 0.4 v_{f} sin 30
we clear fen the second equation and subtitles in the first
F = 4 sin30 /sin40 v_{f}
F = 3.111 v_{f}
(3,111 v_{f}) cos 40 = 4 v_{f} cos 30 - 80
v_{f} (3,111 cos 40 -4 cos30) = - 80
v_{f} (- 1.0812) = - 80
v_{f} = 73.99
v_{f} = 74 m/s
now we can calculate the force
F = 3.111 73.99
F = 230 N
This will take me a little bit let me research :)
Answer:F(of gravity) = MA
F(normal force) = MA * cos(angle)
F = 72 * 9.81 * cos28
Don't have a calculator, so can't really do all the math right there. So just plug that in
Explanation:
i dont really know
Answer:
The Hydrostatic force is 
The location of pressure center is 
Explanation:
From the question we are told that
The height of the gate is 
The weight of the gate is 
The height of the water is 
The density of water is 
Note used 
for height of water and height of gate immersed by water since both have the same value
The area of the gate immersed in water is mathematically represented as
substituting values
The hydrostatic force is mathematically represented as
Where
So
The center of pressure is mathematically represented as
Where 
is the moment of inertia of the gate which mathematically represented as
The is the height of gate immersed in water
Thus
