(a) 907.5 N/m
The force applied to the spring is equal to the weight of the object suspended on it, so:

The spring obeys Hook's law:

where k is the spring constant and
is the stretching of the spring. Since we know
, we can re-arrange the equation to find the spring constant:

(b) 1.45 cm
In this second case, the force applied to the spring will be different, since the weight of the new object is different:

So, by applying Hook's law again, we can find the new stretching of the spring (using the value of the spring constant that we found in the previous part):

(c) 3.5 J
The amount of work that must be done to stretch the string by a distance
is equal to the elastic potential energy stored by the spring, given by:

Substituting k=907.5 N/m and
, we find the amount of work that must be done:

Now we know by Ohm's law that
Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.
Introducing the constant of proportionality, the resistance,the Ohm's law can be mathematically represented as
V=I x R
Where V is the voltage measured in volts
I is the current measured in amperes
R is the resistance measured in ohms
Given:
I = 2 A
V= 110 V
Applying Ohm's law and substituting the given values in the above formula we get
V=I x R
110 = 2 X R
R = 55 ohms
Answer:b
Explanation:
velocity of a falling object increases.
so Kinetic energy of a falling object increases
height of a falling object from the ground decreases.
so the potential energy of a falling object decreases
In telecommunication systems, Carrier frequency is a technical term used to indicate: ... The frequency of the unmodulated electromagnetic wave at the output of a conventional amplitude-modulated (AM-unsupressed carrier), or frequency-modulated (FM), or phase-modulated (PM) radio transmitter.
The electric potential difference is the electric potential energy per unit charge
Explanation:
First of all, we define the concept of electric potential. The electric potential is a measure of the gradient of the electric field at a certain point of the space. The electric potential at a distance
from a positive charge of magnitude
is given by

where k is the Coulomb's constant.
Now we can define the electric potential energy and the electric potential difference:
- Electric potential energy is the energy possessed by a charge due to the presence of an electric field. For a charge of magnitude
immersed in an electric field, its potential energy is given by
, where V is the electric potential at the location of the charge. - The electric potential difference is simply the difference in electric potential between two points in the space. For instance, if the potential at point A is V(A) and the potential at point B is V(B), then the potential difference is

The electric potential energy is also defined as the work done on a charge q moved through a potential difference of
. Consequently, the potential difference
represents the work per unit charge done, i.e. the work done when moving a unitary charge through a potential difference
.
Learn more about potential difference and current:
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