Answer:

Explanation:
The energy lost due to air friction is equal to the mechanical energy lost by the parachutist during the fall.
The initial mechanical energy of the parachutist (at the top) is equal to his gravitational potential energy:

where
m = 20.1 kg is his mass
is the acceleration due to gravity
h = 662 m is the initial heigth
The final mechanical energy (at the bottom) is equal to his kinetic energy:

where
v = 7.12 m/s is the final speed of the parachutist
Therefore, the energy lost due to air friction is:

Option C
The fact that voltage can be created by exerting force on a crystal is used in Knock sensor
<u>Explanation:</u>
Any knock to an engine exhibits as a little shake that is distinguished by the knock sensor. This sensor acts by altering the fluctuation to an electrical sign, which is later transferred to the processor mastering the ignition system.
There the variation in quake to the voltage sign modifies the timing improvements on the kindling. The knock sensor is placed on the engine base, cylinder cap or consumption manifold. This is because its purpose is to sense fluctuations affected by engine knock or explosion.
The shuttles acceleration in the creases as the fuel is burned because the acceleration of the obect as produced by net force is directly proportional to the magnitude of the net force.
Answer:
I(x) = 1444×k ×
I(y) = 1444×k ×
I(o) = 3888×k ×
Explanation:
Given data
function = x^2 + y^2 ≤ 36
function = x^2 + y^2 ≤ 6^2
to find out
the moments of inertia Ix, Iy, Io
solution
first we consider the polar coordinate (a,θ)
and polar is directly proportional to a²
so p = k × a²
so that
x = a cosθ
y = a sinθ
dA = adθda
so
I(x) = ∫y²pdA
take limit 0 to 6 for a and o to
for θ
I(x) =
y²p dA
I(x) =
(a sinθ)²(k × a²) adθda
I(x) = k
da ×
(sin²θ)dθ
I(x) = k
da ×
(1-cos2θ)/2 dθ
I(x) = k
×
I(x) = k ×
× (
I(x) = k ×
×
I(x) = 1444×k ×
.....................1
and we can say I(x) = I(y) by the symmetry rule
and here I(o) will be I(x) + I(y) i.e
I(o) = 2 × 1444×k ×
I(o) = 3888×k ×
......................2
Given that in a parallel circuit:
R1 = 12 ohms
R2= 15 ohms
I = 12 A
I2 = 4 A
V=?
R=?
R3 =?
P=?
Since,
V= IR
or,
V2 = I2 * R2
V2= 4* 15
V2 = 60V
Since in a parallel circuit voltage remain same in all component of the circuit and is equal to the source voltage.
Therefore,
V= V1 = V2 = V3 = 60V
Since,
V= IR
R= V/I
R= 60/12
R= 5 ohm
That is total resistance is equal to 5 ohms.
Since for parallel circuit,
1/R= 1/R1 + 1/R2 + 1/R3
1/5= 1/12+ 1/15 + 1/R3
or
1/R3= 1/5- 1/12- 1/15
1/R3= 1/20
or
R3= 20 ohms
Since,
V=IR
I= V/R
I1= V1/ R1
I1= 60/12
I1= 5 A
I3= V3/R3
I3= 60/20
I3= 3A
Since,
P=VI
P= 60*12
P= 720 watt
P1= V1* I1
P1= 60* 5
P1= 300 watt
P2= V2* I2
P2= 60* 4
P2= 240watt
P3= V3*I3
P3= 60*3
P3= 180 watt
Hence we have,
R1= 12 ohms , R2= 15 ohms, R3= 20 ohms, R= 5 ohms
I1= 5A, I2= 4A, I3= 3A, I= 12 A
V1= V2= V3= V= 60V
P1= 300 watt, P2= 240 watt, P3 = 180 watt, P= 720 watt