Shopping mall has the largest volume
Answer:
Explanation:
The problem is related to rotational motion . So we shall find out rotational kinetic energy .
K E = 1/2 x I ω²
ω is the final angular velocity
Moment of inertial of the disk
I ₁ = 1/2 m r²
= .5 x 165 x 2.93²
= 708.25 kgm²
Moment of inertial of the person
I₂ = mr²
= 62.5 x 2.93²
= 536.55 kgm²
ω₂ = v / R
= 3.11 / 2.93 rad /s
At the time of jumping , law of conservation of angular momentum will apply
I₁ ω₁ + I₂ω₂ = (I₁ + I₂)ω
708.25 x0.691 + 536.55 x ( 3.11 / 2.93 ) = ( 708.25 + 536.55 ) ω
ω = 0 .85 rad/ s
K E = 1/2 x I ω²
= .5 x ( 708.25 + 536.55 ) ( .85 )²
449.68 J
Answer: 80J
Explanation:
According to the first principle of thermodynamics:
<em>"Energy is not created, nor destroyed, but it is conserved." </em>
Then this priciple (also called Law) relates the work and the transferred heat exchanged in a system through the internal energy
, which is neither created nor destroyed, it is only transformed. So, in this especific case of the compressed gas:
(1)
Where:
is the variation in the internal (thermal) energy of the system (the value we want to find)
is the heat transferred out of the gas (that is why it is negative)
is the work is done on the gas (as the gas is compressed, the work done on the gas must be considered positive )
On the other hand, the work done on the gas is given by:
(2)
Where:
is the constant pressure of the gas
is the variation in volume of the gas
In this case the initial volume is
and the final volume is
.
This means:
(3)
Substituting (3) in (2):
(4)
(5)
Substituting (5) in (1):
(6)
Finally:
This is the change in thermal energy in the compression process.
Answer:
Series combination:
Equivalent resistance =10Ω
Parallel combination:
Equivalent resistance 
Explanation:
Resistance: Resistance is the ratio of voltage to the current.

R = resistance
I = current
V= potential difference(voltage)
There are two types of resistance combinations.
- series combination
- parallel combination.
Series combination: If the ending point of one resistance is connected to the starting point of other resistance that combination is known as series combination.
If R₁,R₂ and R₃ are connected in series combination.
Then equivalent resistance = R₁+R₂+R₃
Parallel combination: If the ending point and the starting point of the all resistance are the same points that combination is known as parallel combination.
If R₁,R₂ and R₃ are connected in parallel combination.
Then equivalent resistance 
Here R₁=7Ω and R₂=3Ω
If R₁ and R₂ connected in series combination
Then equivalent resistance = (7+3) Ω
=10Ω
If R₁ and R₂ connected in parallel combination
Then equivalent resistance 
