Answer:
F= 56,1 N :
Explanation:
We apply Newton's first law for balancing forces system.
We take the x axis in the direction of the ramp with a 16.1° slope.
∑Fx= 0
∑Fx: algebraic sum of forces ( + to the right, - to the left)
Problem development:
Look at the free body diagram :
The only forces that act on the box are the weight and tension of the rope because there is no friction.
T: Rope tension (N)
W :Box weight (N)
∑Fx= 0
Tx-Wx=0
Tx =Tcos( 43.2°- 16.1°)= Tcos ( 27.1°)
Wx= W*sen 16.1°= m*g*sen 16.1°=18.4*9.8* sen 16.1° = 50N
Tcos ( 27.1°)-50=0
Tcos ( 27.1°) = 50
T = (50) / (cos ( 27.1°))
T = 56,1 N
T=F= 56,1 N
Answer:
182.9 Volts
Explanation:
R = resistance of the resistor = 50 Ω
C = capacitance of the capacitor = 200 μF = 200 x 10⁻⁶ F
L = Inductance of the inductor = 120 mH = 0.12 H
f = frequency = 60 Hz
Capacitive reactance is given as
X = (2πfC)⁻¹
X = (2(3.14) (60) (200 x 10⁻⁶))⁻¹
X = 13.3 Ω
Inductive reactance is given as
X' = 2πfL
X' = 2(3.14) (60) (0.12)
X' = 45.2 Ω
Impedance of the circuit is given as
z = √(R² + (X' - X)²)
z = √(50² + (45.2 - 13.3)²)
z = 59.31 Ω
V = rms emf of the source = 240 Volts
rms voltage across the inductor is given as
V' = V z⁻¹ X'
V' = (240) (59.31)⁻¹ (45.2)
V' = 182.9 Volts
I think the correct answer from the choices listed above is the first option. The speed of a sound wave is slower than an electromagnetic wave or l<span>ight waves are </span><span>faster than sound waves. Hope this answers the question. Have a nice day.</span>
Answer:
q_poly = 14.55 KJ/kg
Explanation:
Given:
Initial State:
P_i = 550 KPa
T_i = 400 K
Final State:
T_f = 350 K
Constants:
R = 0.189 KJ/kgK
k = 1.289 = c_p / c_v
n = 1.2 (poly-tropic index)
Find:
Determine the heat transfer per kg in the process.
Solution:
-The heat transfer per kg of poly-tropic process is given by the expression:
q_poly = w_poly*(k - n)/(k-1)
- Evaluate w_poly:
w_poly = R*(T_f - T_i)/(1-n)
w_poly = 0.189*(350 - 400)/(1-1.2)
w_poly = 47.25 KJ/kg
-Hence,
q_poly = 47.25*(1.289 - 1.2)/(1.289-1)
q_poly = 14.55 KJ/kg
