Answer:
F = 2325 N
Explanation:
given,
mass of the car, m = 1550 Kg
initial speed, u = 10 m/s
final speed, v = 25 m/s
time, t = 10 s
Average net force = ?
acceleration of the car


a = 1.5 m/s²
we know
F = m a
F = 1550 x 1.5
F = 2325 N
Net average force applied on the car is equal to 2325 N.
Answer:
Impedance = 19.44ohms
Current = 5.14A
Power factor = 0.62
Explanation:
Impedance in an RLC AC circuit is defined as the total opposition to the flow of current in the resistor, inductor and capacitor.
Impedance Z = √R²+(Xl-Xc)²
Where R is the resistance = 12Ω
Inductance L = 0.15H
Capacitance C = 100uF = 100×10^-6F
Since Xl = 2πfL and Xc = 1/2πfC where f is the frequency.
Xl = 2π×50×0.15
Xl = 15πΩ
Xl = 47.12Ω
Xc = 1/2π×50×100×10^-6
Xc = 100/π Ω
Xc = 31.83Ω
Z =√12²+(47.12-31.83)²
Z = √144+233.78
Z = 19.44Ω
Impedance = 19.44ohms
To calculate the circuit current, we will use the expression V=IZ where V is the supply voltage = 100V
I = V/Z = 100/19.44
I = 5.14Amperes
To calculate the power factor,
Power factor = cos(theta) where;
theta = arctan(Xl-Xc)/R
theta = arctan(47.12-31.83)/12
theta = arctan(15.29/12)
theta = arctan1.27
theta = 51.78°
Power factor = cos51.78°
Power factor = 0.62
Answer:
26.8224 m/s
Explanation:
We know that 1 mile = 1.609344 kilometers
So 60 miles * 1.609344 = 96.56064 Kilometers
We also know that 1km = 1000m
Therefore, 96.56064 x 1000= 96,560.64 M/h
And 1 hour = 60 * 60 = 3600 s
Therefore 96,560.64 (m/h) /3600 s =26.8224 m/s
Hope this help :3