Answer:
5.60 m/s
Explanation:
His initial potential energy is equal to his final kinetic energy.
mgh = 1/2mv^2
2gh = v^2 . . . . . . . multiply by 2/m
v = √(2gh) = √(2(9.81 m/s²)(1.6 m)) = √(31.392 m²/s²)
v ≈ 5.60 m/s
_____
<em>Additional comment</em>
The mass is irrelevant in the equations we typically use for this purpose.
The cohesion of water molecules to each other
Answer:
2.994 m/s
Explanation:
m = Mass of the car = 100 g
= Initial velocity = 3.33 m/s
h = Height = 0.108 m
g = Acceleration due to gravity = 9.81 m/s²
We know that energy in the system is conserved so
The final velocity of the car is 2.994 m/s
Answer:
11.25 amps
Explanation:
For transformers, the magnetic flux
Therefore;
Ф = Фmax (cosωt) = 0.21·(cos(5·t))
From Faraday's law of induction, we have;
ε = -N × dΦ/dt
Which gives;
dΦ/dt = -1.05(sin (5t)
)
ε = -N × dΦ/dt = -50× -1.05(sin (5t)
)
ε = 52.5(sin (5t)
)
I = ε/R = 52.5(sin (5t)
)/3.3 = 15.9091(sin (5t)
) amps
The peak current is therefore = 15.9091 amps
The rms current = Peak current /√2 = 15.9091/(√2) = 11.25 amps.
Answer:
15.34 kVA
Explanation:
A motor is a device that converts electrical energy into mechanical energy. It takes in electrical energy at the input and produce torque (motion) at the output.
The power consumption for a three phase motor is the product of voltage and current and √3. The √3 is because it is a three phase supply.
Hence Power (P) =√3 × voltage (V) × current (I)
P = √3 × V × I
Given that voltage (V) = 460 V, current (I) = 17 A. Hence:
P = √3 × V × I = √3 × 460 × 17 = 13544.64 VA
But 1000 VA = 1 kVA. Hence: