A plane is flying east when it drops some supplies to a designated target below. The supplies land after falling for 10 seconds.
2 answers:
solution:
As Given plane is flying in east direction.
It throws back some supplies to designated target.
Time taken by the supply to reach the target =10 seconds
g = Acceleration due to gravity = - 9.8 m/s²[Taken negative as object is falling Downwards]
As we have to find distance from the ground to plane which is given by d.
d =
= meters
Distance from the ground where supplies has to be land to plane = Option B =490 meters
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Assuming you are looking for the acceleration a:
1.
2.
where T is the tension and a is the acceleration of the blocks. The acceleration of the two blocks and the acceleration of the pulley must be equal.
The torque on the pulley is given by:
3.
where
and 
.
Combining the three equations:
1.
2.
where T is the tension and a is the acceleration of the blocks. The acceleration of the two blocks and the acceleration of the pulley must be equal.
The torque on the pulley is given by:
3.
where
Combining the three equations:
Answer:
a) , b) ∠=-54.83°
Explanation:
In order to solve this problem, we must start with a drawing of the situation, this will help us visualize the problem better. (See picture attached).
a)
Now, the idea is that the beer mug has a horizontal speed and no vertical speed at initial conditions. So knowing this, we can start finding the initial velocity of the mug.
In order to do so, we need to find the time it takes for the mug to reach the ground. We can find it by using the following equation:
We can see from the drawing that y and the initial velocity in y are zero, so we can simplify our formula:
so we can solve for t, so we get:
so now we can substitute the known values, so we get:
which yields:
t=0.538s
So we can use this value to find the velocity in x:
When substituting we get:
which yields:
b)
In order to solve part b, we need to find the y-component of the velocity, for which we can use the following formula:
We know that is zero, so we can simplify the expression:
So we can solve the equation for so we get:
and when substituting the known values we get:
which yields:
Once we got the final velocity in y, we can use it together with the velocity in x to find the angle.
So we can use the following formula:
when solving for theta we get:
We can substitute so we get:
which yields:
