Answer:
T = 693.147 minutes
Explanation:
The tank is being continuously stirred. So let the salt concentration of the tank at some time t be x in units of kg/L.
Therefore, the total salt in the tank at time t = 1000x kg
Brine water flows into the tank at a rate of 6 L/min which has a concentration of 0.1 kg/L
Hence, the amount of salt that is added to the tank per minute =
Also, there is a continuous outflow from the tank at a rate of 6 L/min.
Hence, amount of salt subtracted from the tank per minute = 6x kg/min
Now, the rate of change of salt concentration in the tank =
So, the rate of change of salt in the tank can be given by the following equation,
or,
or, T = 693.147 min (time taken for the tank to reach a salt concentration
of 0.05 kg/L)
Answer:
The uncertainty in the location that must be tolerated is
Explanation:
From the uncertainty Principle,
Δ Δ
The momentum P = (mass of electron)(speed of electron)
=
=
If the uncertainty is reduced to a 0.0010%, then momentum
=
Thus the uncertainty in the position would be:
Δ
Δ
Answer:
is the initial velocity of tossing the apple.
the apple should be tossed after
Explanation:
Given:
- velocity of arrow in projectile,
- angle of projectile from the horizontal,
- distance of the point of tossing up of an apple,
<u>Now the horizontal component of velocity:</u>
<u>The vertical component of the velocity:</u>
<u>Time taken by the projectile to travel the distance of 30 m:</u>
<u>Vertical position of the projectile at this time:</u>
<u>Now this height should be the maximum height of the tossed apple where its velocity becomes zero.</u>
is the initial velocity of tossing the apple.
<u>Time taken to reach this height:</u>
<u>We observe that </u><u> hence the time after the launch of the projectile after which the apple should be tossed is:</u>
Answer:
a = - 9.8 j ^ m/s²
Explanation:
This is a projectile launch problem, they give us the initial velocity in the two components
v₀ₓ = 17.1 m / s
= 14.7 m / s
They indicate that the only acceleration that exists is the acceleration of gravity, which acts in the direction towards the center of the Earth, in general in a coordinate system it coincides with the direction of the y axis.
a = - g j ^
a = - 9.8 j ^ m /s²