The question here would be what is the volume of the room. The density of air that is given has no use. We simply multiply the dimensions given of the room to determine the volume.
<span>43.0m × 18.0m × 15.0m = 11610m^3 ( 3.28 ft / 1 m)^3 = 4.09 x 10^5 ft^3</span>
To solve this problem we will apply the concepts related to energy conservation. From this conservation we will find the magnitude of the amplitude. Later for the second part, we will need to find the period, from which it will be possible to obtain the speed of the body.
A) Conservation of Energy,


Here,
m = Mass
v = Velocity
k = Spring constant
A = Amplitude
Rearranging to find the Amplitude we have,

Replacing,


(B) For this part we will begin by applying the concept of Period, this in order to find the speed defined in the mass-spring systems.
The Period is defined as

Replacing,


Now the velocity is described as,


We have all the values, then replacing,


When air resistance is ignored, initial velocity of the projectile affect the range and maximum height of the projectile.
Projectile is a missile designed to be fired from a rocket or gun.
A projectile is the object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance.
The range is defined as the distance between the launch point and the point where the projectile hits the ground.
The height from the ground at the top most position of projectile is referred to as maximum height.
When air resistance is ignored, initial velocity of the projectile affect the range and maximum height of the projectile.
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