Answer:
Explanation:
The total fluid mass can be obtained by multiplying the mass flow rate by the time flow rate.
Mass flow rate is given as
m = ρAv
Where
m is mass flow rate
ρ is density
A is area and it is given as πr²
v is velocity
Then,
M = mt
Where M is mass and t is time
Them,
M = ρAv × t
M = ρ× πr² × v × t
Given that, .
Radius of pipe is
r = 0.089m
velocity of pipe is
v = 3.3m/s
Time taken is
t = 1 hour = 3600 seconds
Density of water is
ρ = 1000kg/m³
M = ρ× πr² × v × t
M = 1000 × π × 0.089² × 3.3 × 3600
M = 295,628.52 kg
M = 2.96 × 10^5 kg
Oil spill on land and in the oceans and kills wildlife like the great barear reef
83 km/h * 2.5 hours (3:30 - 1:00) = 207.5 km
207.5 km - 15 km = 192.5 km
Answer
given,
position of particle
x(t)= A t + B t²
A = -3.5 m/s
B = 3.9 m/s²
t = 3 s
a) x(t)= -3.5 t + 3.9 t²
velocity of the particle is equal to the differentiation of position w.r.t. time.

------(1)
velocity of the particle at t = 3 s
v = -3.5 + 7.8 x 3
v = 19.9 m/s
b) velocity of the particle at origin
time at which particle is at origin
x(t)= -3.5 t + 3.9 t²
0 = t (-3.5 + 3.9 t )
t = 0, 
t = 0 , 0.897 s
speed of the particle at t = 0.897 s
from equation (1)
v = -3.9 + 7.8 t
v = -3.9 + 7.8 x 0.897
v = 3.1 m/s
Answer:
26.6°
Explanation:
refractive index of diamond, n = 2.23
When a ray of light passes from denser medium to the rarer medium and refracts at an angle of 90 degree from the normal of the surface, such angle of incidence in the denser medium is called the critical angle.
By the Snell's law

For critical angle, angle of incidence is critical angle, i = θc and angle of refraction, r = 90
So,
Sin θc / Sin 90 = 1 / 2.23
Sin θc = 0.448
θc = 26.6°
Thus, the critical angle is 26.6°.