Answer:
the volume is 0.253 cm³
Explanation:
The pressure underwater is related with the pressure in the surface through Pascal's law:
P(h)= Po + ρgh
where Po= pressure at a depth h under the surface (we assume = 1atm=101325 Pa) , ρ= density of water ,g= gravity , h= depth at h meters)
replacing values
P(h)= Po + ρgh = 101325 Pa + 1025 Kg/m³ * 9.8 m/s² * 20 m = 302225 Pa
Also assuming that the bubble behaves as an ideal gas
PV=nRT
where
P= absolute pressure, V= gas volume ,n= number of moles of gas, R= ideal gas constant , T= absolute temperature
therefore assuming that the mass of the bubble is the same ( it does not absorb other bubbles, divides into smaller ones or allow significant diffusion over its surface) we have
at the surface) PoVo=nRTo
at the depth h) PV=nRT
dividing both equations
(P/Po)(V/Vo)=(T/To)
or
V=Vo*(Po/P)(T/To) = 0.80 cm³ * (101325 Pa/302225 Pa)*(277K/293K) = 0.253 cm³
V = 0.253 cm³
Answer:
43.41 mm
Explanation:
Given:
thickness of sheet, t = 6 mm
Force exerted by punch, F = 45 KN
Average shearing stress, T = 55 MPa
From average shearing stress T = Force F / Area A
Hence area = force/stress =45000/ 55 =
From area = pi*diameter*thickness
diameter = area/(pi* thickness)
= 818.18/(3.142*6)
= 43.41 mm
Answer: It would be 125 J
a. Speed is defined as rate of change of distance per unit time whereas velocity is defined as rate of change of displacement per unit time.
b.
is the total time taken in the trip
c.
is the total distance
d.
towards right from the starting point.
e. 
f.
towards right.
Explanation:
a.
Speed is a scalar quantity while velocity is a vector quantity.
Speed is defined as rate of change of distance per unit time whereas velocity is defined as rate of change of displacement per unit time.
Speed is a directionless quantity while velocity constitutes direction.
b.
<em>Total time of round trip when we're given:</em>
- distance travelled to the right,

- speed while travelling to the right,

- time spent at gas station,

- time spent while travelling back towards the left,

- speed while travelling to the left,

<em>Now time taken for travelling towards right:</em>



<u>Therefore total time taken in the round trip:</u>



c.
<em>Now, distance travelled towards left:</em>



<u>Therefore total distance:</u>



d.
Now, total displacement:


towards right from the starting point.
e.
<u>Average speed:</u>



f.
<u>Average velocity:</u>


towards right.