The answer is 33 v, <em>Hope it helps</em>
Answer:
Rate at which water is being pumped into the tank,
Explanation:
Rate at which water is leaking out,
Height of the tank, h = 12 m
The top diameter of the tank, d = 8 m = 800 cm
The top radius of the tank, r = d/2 = 800/2 = 400 cm
The rate of change of water height, dh/dt = 30 cm/min
Height of water = 2 m
By carefully observing the diagram contained in the file attached to this solution, using the property of similar triangle:
h/r = 12/4
r = h/3
Since the tank is conical, volume of the water at time, t will be:
Finding the derivative of the above with respect to t to get the rate of change in the volume of water.
The correct answer is A. Faster
Explanation:
Sound, which is composed of vibration, travels through waves. Additionally, the speed of sound waves is affected by the medium and the density of it. Indeed, the denser the medium is the higher the speed of sound is. For example, in the air, the speed of sound is around 343 meters per second while in water and similar liquids that have a higher density the speed is approximately 1500 meters per second, and this speed increases if the sound travels through a solid. This occurs because in dense substances particles are closer, and therefore waves can travel faster. Thus, in a denser medium will generally make a sound wave travel faster.
Since the spacecraft is two earth radii the surface of the earth, it is three earth radii above the center.
Given: Radius of the earth re = 6.38 x 10⁶ m r = 1.91 x 10⁷ m
Mass of the spacecraft Ms = 1600 Kg
Mass of the earth Me = 5.98 x 10²⁴ Kg
G = 6.67 X 10⁻¹¹ N.m²/Kg²
Formula: F = GMeMs/r²
F = (6.67 X 10⁻¹¹ N.m²/Kg²)(5.98 x 10²⁴ Kg)(1,600 Kg)/(1.91 x 10⁷ m)²
F = 6.38 X 10¹⁷ N/3.65 X 10¹⁴ m²
F = 1,748.5 N
Speed= f x λ ( f= frequency. λ = wavelength)
Speed = 2Hz x 6m
= 12m/s