Answer:
t = Δa / v
Explanation:
To know which option is not true, we shall fine a relationship between acceleration (a), velocity (v), time (t) and radius (r). This is illustrated below:
Acceleration can simply be defined as the rate of change of velocity with time. Mathematically, it is expressed as shown below:
Acceleration = change in velocity / time
a = Δv / t ..... (1)
But
Δv = v₂ – v₁
Substitute the value of Δv into equation (1)
a = Δv / t
a = v₂ – v₁ / t ....... (2)
From equation (1), make Δv the subject of the equation.
a = Δv / t
Cross multiply
Δv = at .... (3)
From equation (1), make t the subject of the equation.
a = Δv / t
Cross multiply
at = Δv
Divide both side by a
t = Δv /a ...... (4)
From circular motion, centripetal's force is given by:
F = mv²/r
F = ma꜀
Therefore,
ma꜀ = mv²/r
Cancel out m
a꜀ = v²/r
SUMMARY:
a = Δv / t
a = v₂ – v₁ / t
Δv = at
t = Δv /a
a꜀ = v²/r
Considering the options given in question above, t = Δa / v is not a true statement.
One way is the both have magnetic fields.
The least amount of inertia would be the one with least mass.
Of all the options, the smallest mass is likely the insect the cricket.
<span>A a cricket </span>
The mass of the petcock of the pressure cooker is 0.257 kg.
The total pressure inside the cooker is= atmospheric pressure+Gauge pressure
=100 kPa+101 kPa=201*10^3 Pa
The area of the petcock is= (π/4)d^2=0.785*0.004^2=12.56*10^(-6) m^2
Now the mass of the petcock is calculated as
P=(F/A)=(mg/A)
201*10^3=(m*9.81/(12.56*10^(-6)
m=0.257 kg
Therefore the mass of the petcock is 0.257 kg
