Answer:
Δt = 0.315s
Explanation:
To calculate the time difference, in which both fans hear the batterstrike, you first calculate the time which takes the sound to travel the distances to both fans:


d1: distance to the first fan = 18.3 m
d2: distance to the second fan = 127 m
vs: speed of sound = 345 m/s
You replace the values of the parameters to calculate t1 and t2:

The difference in time will be:

Hence, the time difference between hearing the sound at the location s of both fans is 0.315s
C. Generally, gravity is the only force acting on a projectile (causing it to fall down towards the earth). If you took this away, it would have no forces acting on it and, according to Newton's 1st law of inertia, it would continue moving indefinitely
(a) The vertical motion is accelerated by gravity. The horizontal component is constant (neglecting air resistance, if this is not a projectile motion, the horizontal component would also be accelerated)
(b) Vertical:

Horizontal:

(c) Use the kinematic equation for distance. Calculate only the vertical component (horizontal is irrelevant):

The ball will be in the air for about 3.9 s.
(d) The range is the horizontal distance traveled. We know the ball is in the air for 3.9s and it moves with a horizontal velocity of 23 m/s. So:

The range is 89.7 meters.
Answer:
The new pressure inside of the cylinder is 2.6 atm.
Explanation:
Given that,
Initial pressure = 1.30 atm
If the number of moles is double after gas added.
The position of the piston does not change.
So, The volume will be same.
The pressure inside the cylinder before gas added
...(II)
After gas added,
...(II)
We need to calculate the new pressure inside of the cylinder
Dividing equation (I) and (II)


Put the value into the formula




Hence, The new pressure inside of the cylinder is 2.6 atm.