Answer:
Σ Fₓ = mg ( μ cos θ - sin θ) =0
Explanation:
To solve the problem of an inclined plane, we must use Newton's second law.
In these problems the selected reference system is where the x-axis is parallel to the plane and the y-axis is perpendicular to the plane.
The force that exists is the weight, the normal and the friction force, in our reference system the only one that we must break down the weight, let's use trigonometry.
sin θ = Wx / W
cos θ = / W
Where the angle of the plane is the same angle of the y-axis
Wₓ = W sin θ
= W cos θ
Let's write the equations, just before starting the movement
Y Axis
N - W_{y} = 0
N = W cos θ
X axis
fr - Wₓ = 0
The equation for the force of friction is
fr = μ N
we replace
μ N = W sin θ
μ W cos θ = W sin θ
μ = tan θ
The answer is
∑ Fₓ = μ mg cos θ - mg sin θ= 0
Σ Fₓ = mg ( μ cos θ - sin θ) =0
Answer:
It is the ...Algae, misquote lave, minnows, trout then herons
Explanation:
Have a good day sorry if I'm wrong but in at least 90% sure this is right
Answer:
a. The horizontal component of acceleration a₁ = 0.68 m/s²
The vertical component of acceleration a₂ = -0.11 m/s²
b. -9.19° = 350.81° from the the positive x-axis
Explanation:
The initial velocity v₁ of the fish is v₁ = 4.00i + 1.00j m/s. Its final velocity after accelerating for t = 19.0 s is v₂ = 17.0i - 1.00j m/s
a. The acceleration a = (v₂ - v₁)/t = [17.0i - 1.00j - (4.00i + 1.00j)]/19 = [(17.0 -4.0)i - (-1.0 -1.0)j]/19 = (13.0i - 2.0j)/19 = 0.68i - 0.11j m/s²
The horizontal component of acceleration a₁ = 0.68 m/s²
The vertical component of acceleration a₂ = -0.11 m/s²
b. The direction of the acceleration relative to the unit vector i,
tanθ = a₂/a₁ = -0.11/0.68 = -0.1618
θ = tan⁻¹(-0.1618) = -9.19° ⇒ 360 + (-9.19) = 350.81° from the the positive x-axis
The variation of entropy of a substance is given by
(1)
where
is the heat exchanged in the process
T is the absolute temperature at which the transformation occurs.
The process in the problem is the solidification of the liquid Gallium, which releases an amount of heat equal to:
where m is the mass of the substance and
is the latent heat of fusion of Gallium. Using m=64.0 g, we find
where the negative sign means the Gallium is releasing heat to the environment.
Now we can use equation (1) to find the variation of entropy, but first we need to convert the temperature into Kelvin:
And so the variation of entropy is
and the negative sign means the entropy in the process is decreasing.
Power = (voltage) x (current)
(1,200 W) = (120 V) x (current)
Current = (1,200 watt) / (120 volt) = 10 Amperes.
How long the heater heats is irrelevant. The current
is flowing all the time, whenever the heater is running.