Answer: 2561.7 pounds
Explanation:
If we assume the total weight of an airplane (in pounds units) as a <u>linear function</u> of the amount of fuel in its tank (in gallons) and we make a Weight vs amount of fuel graph, which resulting slope is 5.7, we can use the slope equation of the line:
(1)
Where:
is the slope of the line
is the airplane weight with 51 gallons of fuel in its tank (assuming we chose the Y axis for the airplane weight in the graph)
is the fuel in airplane's tank for a total weigth of 2390.7 pounds (assuming we chose the X axis for the a,ount of fuel in the tank in the graph)
This means we already have one point of the graph, which coordinate is:

Rewritting (1):
(2)
As Y is a function of X:
(3)
Substituting the known values:
(4)
(5)
(6)
Now, evaluating this function when X=81 (talking about the 81 gallons of fuel in the tank):
(7)
(8) This means the weight of the plane when it has 81 gallons of fuel in its tank is 2561.7 pounds.
When air resistance<span> acts, acceleration during a fall </span>will<span> be less than g because </span>air resistance affects<span> the motion of the falling </span>objects<span> by slowing it down. </span>Air resistance<span> depends on two important factors - the</span>speed<span> of the </span>object<span> and its surface area. Increasing the surface area of an </span>object<span> decreases its </span>speed<span>.</span>
Displacement is how much of a liquid (typically water for simplicity in the metric system) is pushed aside when another object is completely submerged. For example, when a 100mL of water has a block placed into it, and rises to 150mL, the block has displaced the water.
Answer:
The president s decision can be overridden by a majority of Congress.
Explanation:
If congress gets the majority (2/3) vote to pass it, its passed
The most possible cause of 35% increase in time measured is due to the acceleration due to gravity which is 70% less than 9.80 m/s² at this location.
Explanation:
We know that for a linear motion
S=ut+(1/2)*a*t²
Where S= Distance covered
u= initial velocity
t=time period
a= acceleration due to gravity
Since the body is falling vertically downwards "a" is to be replaced by "g"
Moreover, The body is falling from rest "u"=0
Hence the equation reduces to S=1/2*g*t²
t²=2S/g
Since the "g" is in denominator thus a decreased value of "g" would mean increased period. Thus an increase of 35% in the period would translate to a 70% decrease in "g".