Complete the sentence below using the words provided in parentheses (). For two universes that are the same size, the universe w
1 answer:
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Answer:
a
x-component
y-component
b
Magnitude
direction is
Explanation:
From the question we are told that
The first vertical distance is
The first horizontal distance is
The second vertical distance is
Generally the displacement is
x-component
y-component
Generally the helicopters displacement is mathematically evaluated as
The direction is the angle the displacement of the helicopter makes with the horizontal which is mathematically evaluated as
=>
=>
The translational equilibrium condition allows finding that the response for cable length with a maximum tension is
L = 2.56 m
Newton's second law says that the force is proportional to the mass and the acceleration of the body, in the special case that the acceleration is zero, the relationship is called the translational equilibrium condition.
∑ F = 0
Where the bold indicates vectors, F is the force and the sum is for all external forces.
The reference systems are coordinate systems with respect to which the decomposition of the vectors is carried out and the measurements are made, in this case we will use a system with the horizontal x axis and the vertical y axis.
In the attachment we can see a free body diagram of the system, let's write the equilibrium condition for each axis.
x-axis
Tₓ -Tₓ = 0
y-axis
2 - W = 0
Let's use trigonometry to decompose the tension, we can see from the graph and the adjoint that each string is half the length, let's call the angle θ
cos θ =
sin θ =
Tₓ = T cos θ
= T sin θ
We substitute
2 T sin θ = W (1)
The text indicates that the length of the block is 2 m, so the distance to the midpoint is
x = 1 m
Let's use the Pythagoras' Theorem
H² = CA² + CO²
CO =
CA = x
CO =
Where CO is the opposite leg, CA is the adjacent leg and H is the hypotenuse indicating H = L / 2,
Let's write the trigonometry functions
sin θ =
Let's substitute
sin θ =
Let's subtitute in the equation 1
2 T ( \frac{2 \sqrt{\frac{L^2}{4} -1 } }{L} ) = W
Let's solve by squaring
They indicate that the maximum tension of the cable is T = 700N and the weight is worth W = 700N, we substitute the values
L = 2.31 m
In conclusion using the translational equilibrium condition we can find that the response for cable length with maximum tension is
L = 2.31 m
Learn more about translational equilibrium here:
Answer:
(a). The final volume is 2.5 times the initial volume.
The work done is 1143 J.
(b). The final temperature is 207.9 K
The work done is 574 J.
Explanation:
Given that,
Sample of an ideal gas = 0.500 mol
Initial pressure = 400 kPa
Final pressure = 160 kPa
Temperature = 300 K
(a) for isothermal,
Temperature will be same.
We need to calculate the volume of gas
Put the value into the fomrula
We need to calculate the work done
Using equation of energy
(b). For adiabatic,
No transfer of heat between system and surroundings
We need to calculate the final temperature
Using formula of gas
Put the value into the formula
We need to calculate the wok done in adiabatic
Using formula of work done
Hence, (a). The final volume is 2.5 times the initial volume.
The work done is 1143 J.
(b). The final temperature is 207.9 K
The work done is 574 J.