A spherical helium filled balloon (B) with a hanging passenger cage being held by a single vertical cable (C) attached to Earth
1 answer:
Answer:
The tension is
Explanation:
From the question we are told that
The total mass is
The radius is
The density of air is
Generally the upward force acting on the balloon is mathematically represented as
=>
=>
Here V is the volume of the spherical helium filled balloon which is mathematically represented as
=>
=>
So
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Answer:
52 mm/s (approximately)
Explanation:
Given:
Initial speed of the projectile is,
Angle of projection is,
Time taken to land on the hill is,
In a projectile motion, there is acceleration only in the vertical direction which is equal to acceleration due to gravity acting vertically downward. There is no acceleration in the horizontal direction.
So, the velocity in the horizontal direction always remains the same.
The horizontal component of initial velocity is given as:
Now, the velocity in the vertical direction goes on decreasing and becomes 0 at the highest point of the trajectory. So, at the highest point, only horizontal component acts.
Therefore, the projectile's velocity at the highest point of its trajectory is equal to the horizontal component of initial velocity and thus is equal to 52 mm/s.