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schepotkina [342]
3 years ago
6

Jon's bathtub is rectangular and its base is 18 ft2. (a) How fast is the water level rising if Jon is filling the tub at a rate

of 0.2 ft3/min? (Round your answer to three decimal places.)

Physics
2 answers:
Kitty [74]3 years ago
6 0

Answer:

The water level in the bath tub is rising at a rate of 0.0111 ft/s

Explanation:

Volume of the bath tub = (Area of base) × (height)

Area of base = 18 ft² (constant)

Height = h (variable)

V = 18h

(dV/dt) = 18 (dh/dt)

If (dV/dt) = 0.2 ft³/s

0.2 = 18 (dh/dt)

(dh/dt) = (0.2/18)

(dh/dt) = 0.0111 ft/s

Hope this Helps!!!

gizmo_the_mogwai [7]3 years ago
6 0

Explanation:

Below is an attachment containing the solution.

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Vilka [71]

Answer:

   f = 5.3 Hz

Explanation:

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        ∑ F = ma

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To solve this problem we create a change in the reference system, we place the zero at the equilibrium point

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In this frame of reference, the variable y'  when it is oscillating is positive and negative, therefore Newton's equation remains

         B’= m \frac{d^2 y'}{dt^2 }

           

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         B = ρ_liquid g V_liquid

     

the volume is

        V = π r² y'

     

we substitute

          - ρ_liquid g π r² y’ = m \frac{d^2 y'}{dt^2 }

          \frac{d^2 y'}{dt^2} + \rho_liquid \ g \ \pi  r^2/m ) y' \ =0

this differential equation has a solution of type

         y = A cos (wt + Ф)

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angular velocity and frequency are related

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we substitute

          4π² f² = ρ_liquid g π r² / m

          f = \frac{1}{2\pi } \ \sqrt{ \frac{ \rho_{liquid} \  \pi  r^2 \ g}{m } }

calculate

         f = \frac{1}{2 \pi }  \sqrt{ \frac{ 1000 \ \pi  \ 0.03^2 \ 9.8 }{0.025}  }

         f = 5.3 Hz

6 0
3 years ago
A ball is attached to a string and rotates in a circle. if it takes 1.00 s to complete one revolution, what is the angular veloc
Paha777 [63]
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8 0
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How do the dark lines of an atom''s absorption spectrum relate to the bright lines of its emission spectrum?
tangare [24]

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All we'd need is a pile of it in our basement, with a bright light bulb over the pile,
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Whenever we wanted some energy, like for cooking or heating the house, we'd
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The atoms in the pile would absorb some photons, raising their electrons to higher
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The energy an electron absorbs when it climbs to a higher energy level (forming
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Energy that wasn't either there in the atom to begin with or else pumped
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3 0
3 years ago
A weather balloon is partially inflated with helium gas to a volume of 2.0 m³. The pressure was measured at 101 kPa and the temp
Yanka [14]

Answer:

4.7 m³

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MAVERICK [17]
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