Answer:
Impedance, Z = 107 ohms
Explanation:
It is given that,
Resistance, R = 100 ohms
Inductance, 
Capacitance, 
Frequency, f = 60 Hz
Voltage, V = 120 V
The impedance of the circuit is given by :
...........(1)
Where
is the capacitive reactance, 

is the inductive reactance, 

So, equation (1) becomes :

Z = 106.26 ohms
or
Z = 107 ohms
So, the impedance of the circuit is 107 ohms. Hence, this is the required solution.
By definition, we have that the gravitational force is given by:

Where,
G: gravitational constant
m1: mass of object number 1
m2: mass of object number 2
r: distance between both objects.
Therefore, for the gravitational force to increase, the following conditions must be met:
1) Increase the mass of the objects so that the numerator of the equation is greater.
2) Decrease the distance between the objects so that the denominator of the equation is smaller.
Answer:
A change that will always result in an increase in the gravitational force between two objects is:
increasing the masses of the objects and decreasing the distance between the objects
Answer:
Option (3)
Explanation:
According to researches done by the astronomers, it has been found that the earth collided with a giant Mars-size early proto-planet, whose name was 'Theia' during the Hadean era, about.5 billion years back. This collision resulted in the detachment of a considerably huge amount of material away from the earth. The remnant debris particles accumulated and gave rise to the formation of moon. The earth during that time was comprised of molten lava only, and from this collision, the earth attained its tilt of approximately 23.5°.
Thus, the correct answer is option (3).
Answer:
force on larger piston = <em> </em>
Explanation:
we label the pistons as piston A and piston B
small piston A:
area = a
force = f
large piston B:
area = A
force = ?
<em>Pascal's law of pressure state that the pressure delivered to a liquid is transmitted undiminished to every portion of the fluid.</em>
we know that pressure = force ÷ area
pressure of piston A = 
pressure of piston B = 
obeying Pascal's law, the system pressures must be equal. Therefore

force on large piston (B) = F =<em> </em>
Answer:
0.6 m/s
Explanation:
1.8 km = 1800 m
5 minutes= 300 s
Now,
Velocity = Displacement / time
= 1800/300
= 0.6 m /s