Answer:
3.41 s
114 m
Explanation:
The object is falling in free fall, accelerated by the surface gravity of Earth. We can use the equation for position under constant acceleration:
X(t) = X0 + V0 * t + 1/2 * a * t^2
We set up a frame of reference with the origin at the point the object was released and the X axis pointing down. Then X0 = 0. Since the problem doesnt mention an initial speed we assume V0 = 0.
It travels 0.5h in the last 1 second of the fall. This means it also traveled in the rest of the time of the fall. t = t1 is the moment when it traveled 0.5*h.
0.5*h = 1/2 * a * t1^2
h = a * t1^2
It travels 0.5*h in 1 second.
h = X(t1 + 1) = 1/2 * a * (t1+1)^2
Equating both equations:
a * t1^2 = 1/2 * a * (t1+1)^2
We simplify a and expand the square
t1^2 = 1/2 * (t1^2 + 2*t1 + 1)
t1^2 - 1/2 * t1^2 - t1 - 1/2 = 0
1/2 * t1^2 - t1 - 1/2 = 0
Solving electronically:
t1 = 2.41 s
total time = t1 + 1 = 3.41.
Now
h = a * t1^2
h = 9.81 * 3.41^2 = 114 m
The formula of electric flux is:
electric flux = electric field * surface area
The surface area of a sphere is given by: 4*pi*r^2
Therefore: 4 * 3.14 * 12^2 is equal to 1808.64 cm^2, convert are to m^2
1808.64 cm^2 * (1 m/ 100 cm)^2 = 0.1808 m^2
The point charge is +5<span>μC, convert this to electric field with units of V/m
then solve for the electric flux by multiplying the electric field with the surface area. </span><span /><span>
</span>
Answer:
110 yds
Explanation:
Well if 55 yards is 1/2 of the field then 2 x 55 = 110 yards is total field length
Answer:
4.408 m.
Explanation:
Given:
m = 72.1 kg
vf = 9.3 m/s
vi = 0m/s
a = 9.81 m/s^2
Equations of motion:
i. vf = vi + a*t
ii. S = vi*t + 1/2*(a*(t^2))
iii. vf^2 = vi^2 + 2a*S
Using iii. equation of motion;
(9.3)^2 = 0 + 2 * (9.8) * S
S = 86.49/19.62
= 4.408 m.
Current is the overall flow of electrons through a conductor and can be defined as the speed of the flow of electrons. Resistance is defined as the opposition to current flow. Circuits must have resistance to convert electrical energy into light, heat, or motion. Resistance is called the directional movement of electrons that form an electric current. It is also known that electrons do not move freely in the crystal structure of a conductor. Resistance is the inherent opposition to the flow of electrons present in a conductor. Inductance is the property of any circuit to resist any change in current while capacitance is the property of the circuit to resist any change in voltage.
<h3>What is capacitor?</h3>
A capacitor is an electronic component that stores an electrical charge. Capacitors consist of two close conductors (usually plates) separated by a dielectric material. The plates accumulate an electrical charge when connected to a power source. The main purpose of a capacitor is to store electrostatic energy in an electric field and, if possible, to supply this energy to an electrical circuit.
To avoid dangerous circuit failure, they allow alternating current to flow but block direct current. Capacitors are widely used as circuit elements in many common electrical devices. Commercial capacitors are made of interwoven metal foils with paraffin or Mylar-impregnated paper as the dielectric.
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