Answer:
30 seconds
Explanation:
A = A02^-(t/hl)
--> ln(A/A0) = -(t/hl)ln2
solving for hl,
hl = -t x ln2 /ln(A/A0)
= -(60 min)xln2/ln(50/200)
= 0.5 min or 30 seconds
Answer:
Explanation:
From the given information:
Since both stars are in the same cluster, the magnitude and luminosity relationship can be calculated as:

Given that;
m_1 = 1 and
m_2 = 4
Therefore,


Making
the subject of the formula:

=15.84
≅ 16
Hence, we can conclude that star X is more luminous by a factor of 16
To solve this problem it is necessary to apply the equations given from Bernoulli's principle, which describes the behavior of a liquid moving along a streamline. Mathematically this expression can be given as,

Where,
Pressure at each state
= Density
Velocity
Re-organizing the expression we can get that

Our values are given as


Normal Conditions
Replacing we have,


If we consider that there is a balance between the two states, the Force provided by gravity is equivalent to the Support Force, therefore

Here the lift force is the product between the pressure difference previously found by the effective area of the aircraft, while the Force of gravity represents the weight. There,


Equating,



Therefore the weight of the plane is 14535N