Answer:
μ = 0.604
Explanation:
For the cat to stay in place on the merry go round, the maximum static frictional force must be equal in magnitude to that of the centripetal force.
Now, Centripetal force is given as;
Fc = mv²/r
Where r is radius and v is tangential speed and m is mass.
We also know that maximum static frictional force is given by;
F_static = μmg
Where μ is coefficient of friction
Now, equating both forces, we have;
mv²/r = μmg
Divide through by m;
v²/r = μg
Now, tangential speed can be expressed as;
v = circumference/period
Thus, v = 2πr/T
Where T is period of rotation and
2πr is the circumference of the merry go round.
Thus,
v²/r = μg is now;
(2πr/T)²/r = μg
Making μ the subject, we have;
(2πr/T)²/rg = μ
μ = [(2π x 5.4)/6]²/(5.4 x 9.8)
μ = 0.604
Answer:
v = 83.1 % of speed of light
Explanation:
given,
T_e is the earth time = 2.7 s
T_s is the ship time = 1.5 s
we know,
where c is the speed of light
v is the speed of the rock star moving
squaring both side
v = 0.831 c
v = 83.1 % of speed of light
Answer:
The intralveolar pressure is 1 mmHg
Explanation:
The transpulmonary pressure is the difference between the alveolar pressure and the intrapleural pressure. It is this gradient between pressures that allows the air to flow during human ventilation.
Writing this into an equation it means that, Ptp = Palv - Pip, so from there we have Palv = Ptp + Pip, or Palv = 5 mmHg - 4 mmHg = 1 mmHg.
Answer:
It would be λ=V/f
Explanation:
λ = wavelength
V = velocity
f = frequency
The equation for a wavelength is velocity over frequency, therefore the answer would be λ=V/f.
Good luck with your physics!
Answer:
4.74 x 10⁷ yr
Explanation:
m = Rate of conversion of mass to energy by sun = 4 x 10⁹ kg/s
t = total time taken to convert mass of earth to energy
M = mass of earth = 5.98 x 10²⁴ kg
Using the equation
M = m t
5.98 x 10²⁴ = (4 x 10⁹) t
t = 1.495 x 10¹⁵ sec
we know that, 1 yr = 3.154 x 10⁷ sec
t = (1.495 x 10¹⁵ sec) (3.154 x 10⁷ sec)⁻¹ yr
t = 4.74 x 10⁷ yr