c. A current is induced in the coiled wire, which lights the light bulb.
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What is electromagnetic induction?</h3>
If we kept the bar magnet stationary and moved the coil back and forth within the magnetic field an electric current would be induced in the coil.
Then by either moving the wire or changing the magnetic field we can induce a voltage and current within the coil and this process is known as Electromagnetic Induction and is the basic principle of operation of transformers, motors and generators.
When the magnet shown below is moved “towards” the coil, the pointer or needle of the Galvanometer, which is basically a very sensitive center zeroed moving-coil ammeter, will deflect away from its center position in one direction only.
When the magnet stops moving and is held stationary with regards to the coil the needle of the galvanometer returns back to zero as there is no physical movement of the magnetic field.
Therefore ,
If you move a bar magnet back and forth along the axis of the coiled wire shown below then a current is induced in the coiled wire, which lights the light bulb.
Learn more about electromagnetic induction here:
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The change in mechanical energy caused by the dissipative resistance force is equal to, difference between the potential energy and kinetic energy of the object.
Potential energy of the object, P.E = mgh
m is mass of the object = 10 kg
g is acceleration due to gravity = 9.8 m/s²
h= height from which it is dropped =50 m
Substituting the value we get,
P.E = 10×9.8×50 = 4900 J
Kinetic energy of the object, K.E = 
v is the velocity of the object = 26 m/s²
K.E = (1/2)×10×(26)²
= 3380 J
Change in mechanical energy caused by dissipative force = P.E ₋ K.E
= 4900 ₋ 3380 = 1520 J
Answer:
equation of motion for the mass is x(t) = e^αt ( C1 cos √{α² - ω²} t + C2 sin √{α² - ω²} t )
Explanation:
Given data
mass = 3 slugs = 3 * 32.14 = 96.52 lbs
constant k = 9 lbs/ft
Beta = 6lbs * s/ft
mass is pulled = 1 ft below
to find out
equation of motion for the mass
solution
we know that The mass is pulled 1 ft below so
we will apply here differential equation of free motion i.e
dx²/dt² + 2 α dx/dt + ω² x =0 ........................1
here 2 α = Beta / mass
so 2 α = 6 / 96.52
α = 0.031
α² = 0.000961 ...............2
and
ω² = k/mass
ω² = 9 /96.52
ω² = 0.093 ..................3
we can say that from equation 2 and 3 that α² - ω² = -0.092239
this is less than zero
so differential equation is
x(t) = e^αt ( C1 cos √{α² - ω²} t + C2 sin √{α² - ω²} t )
equation of motion for the mass is x(t) = e^αt ( C1 cos √{α² - ω²} t + C2 sin √{α² - ω²} t )
Answer:
Yes, through erosion.
Explanation:
Water, wind, and ice shape earths surface. Water, wind, & ice move sediment to another area this process is called erosion.
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Answer:
(a) Ey is negative
(b) The magnitude of the electric field is E = 171.429 V/m
(c) The potential difference between points B and C is 17.1429 V
Explanation:
(a) Here, we have the potentials given by;
with point A at y = 8.00 cm and point B at point y = 15.0 cm
where point B is at a higher potential than point A, that is the electric potential is from;
B with y = 15.0 cm to A with y = 8.0 cm which means
decreases as y increases or is negative.
(b) The magnitude of the electric field is given by
The work done to move a charge from B to A is
where
∴ 
E = 171.429 V/m
(c) Here we have point C x = 5.00 cm and y = 5.00 cm
Therefore we have the distance from B to C given by
Where 10.00 cm = 0.01 m
E = V/Δy
Therefore, V = Δy·E
For 
, Δy = 
and we have,
