<span>mass and only mass ................</span>
Answer:
a. ac = 1844.66 m/s²
b. Fc = 265.63 N
Explanation:
a.
The centripetal acceleration of the ball is given as follows:
ac = v²/r
where,
ac = centripetal acceleration = ?
v = speed of ball = (87 mph)(1 h/ 3600 s)(1609.34 m / 1 mile) = 38.9 m/s
r = radius of path = 82 cm = 0.82 m
Therefore,
ac = (38.9 m/s)²/0.82 m
<u>ac = 1844.66 m/s²</u>
<u></u>
b.
The centripetal force is given as:
Fc = (m)(ac)
Fc = (0.144 kg)(1844.66 m/s²)
<u>Fc = 265.63 N</u>
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
The formula for final velocity is Speed= distance/time (s=d/t)
Velocity is another word for speed.
