(a) The volume flow rate in an artery supplying the brain is 3.4 x 10-6 m3/s. If the radius of the artery is 5.6 mm, determine t
he average blood speed.(b) Find the average blood speed as a constriction in the artery if the constriction reduces the radius by a factor of 2. Assume that the volume flow rate is the same as that in part (a).
1 answer:
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Answer:
17.34 m/s
Explanation:
Given:
Mass of lion (m₁) = 109 kg
Initial speed of lion (v₁) = 80.0 km/h (Northward direction)
Mass of gazelle (m₂) = 39.0 kg
Initial speed of gazelle (v₂) = 78.5 km/h (Eastward direction)
Final velocity of both lion and gazelle is,
First, let us convert the speeds from km/h to m/s using the conversion factor.
We know that, 1 km/h = 5/18 m/s
Therefore,
Now, the concept of conservation of total momentum is used here as this is a case of perfectly inelastic collision. In inelastic collision, the masses move together with same velocity after collision.
Here, as the lion and gazelle are moving in directions at right angles to each other, the vector sum of their momentums will give the net initial momentum of the system.
So, initial momentum is given as:
Now, we calculate P₁ and P₂.
Therefore, the net initial momentum of the system is given as:
The final momentum of the system is given as:
From the law of conservation of momentum, the final momentum is equal to the initial momentum. So,
Therefore, the final speed of the lion-gazelle system is 17.34 m/s
Answer:
4589.05 year
Explanation:
The relation of activity is given by we have given
Half life
We know that half life
So