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astraxan [27]
1 year ago
14

Calculate the mass of the air contained in a room that measures 2.50 m x 5.50 m x 3.00 m if the density of air is 1.29 g/dm3.53.

2 g3.13 x 10-3 g3.20 x 104 g5.32 x 104 g5.32 x 107 g
Physics
1 answer:
Law Incorporation [45]1 year ago
6 0

Answer:

5.32\cdot 10^4 g

Explanation:

First of all, we need to find the volume of the room, which is given by

V=2.50 m \cdot 5.50 m \cdot 3.00 m =41.3 m^3

Now we  can find the mass of the air by using

m=dV

where

d=1.29 g/dm^3 is the density of the air

V=41.3 m^3 = 41,300 dm^3 is the volume of the room

Substituting,

m=(1.29)(41300)=5.32\cdot 10^4 g

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The sound source of a ship’s sonar system operates at a frequency of 22.0 kHz . The speed of sound in water (assumed to be at a
stepladder [879]

Answer:

147.45 Hz

\Delta f=f_{Lr}-f_{Se}

Explanation:

v = Speed of sound in water = 1482 m/s

v_w = Speed of whale = 4.95 m/s

The difference in frequency is given by

\Delta f=f\dfrac{v+v_w}{v-v_w}-f\dfrac{v}{v-v_w}\\\Rightarrow \Delta f=f_{Lr}-f_{Se}

Frequency of the wave in stationary condition

f_{Lr}=f\dfrac{v+v_w}{v-v_w}

Ship's frequency which is reflected back

f_{Se}=f\dfrac{v}{v-v_w}

f_{Se}=22\ kHz

\mathbf{\Delta f=f_{Lr}-f_{Se}}

\Delta f=f_{Lr}-f_{Se}\\\Rightarrow \Delta f=22\times \dfrac{1482+4.95}{1482-4.95}-22\\\Rightarrow \Delta f=0.14745\ kHz\\\Rightarrow \Delta f=147.45\ Hz

The difference in wavelength is 147.45 Hz

3 0
2 years ago
Car enthusiasts often lower their cars closer to the ground as a matter of style. James wants to lower his car by replacing all
Alexandra [31]

Answer:

\Delta h=0.0364\ m=3.64\ cm

Explanation:

Given:

  • change in stiffness constant of the spring on replacing the original springs, \delta k=5355\ N.m^{-1}
  • mass of the car, m=1455\ kg
  • initial length of the original car-spring before compression, l_i=12\ cm=0.12\ m
  • final length of the original car-spring after compression, l_f=8.55\ cm=0.0855\ m

So, weight of the car:

w=m.g

w=1455\times 9.81

w=14273.55\ N

<u>Now the spring constant of original spring:</u>

w=4k_o.(l_i-l_f) (since 4 springs are in parallel)

14273.55=4k_o\times (0.12-0.0855)

k_o=103431.522\ N.m^{-1}

<u>So the stiffness constant of the new springs:</u>

k_n=k_o-\delta k

k_n=103431.522-5355

k_n=98076.522\ N.m^{-1}

<u>Now the height lowered:</u>

w=k_n.4\Delta h (since 4 springs are in parallel)

14273.55=4\times98076.522\times \Delta h

\Delta h=0.0364\ m=3.64\ cm

5 0
2 years ago
A ball is thrown into the air and follows the parabolic path indicated by the dashed line. Use the arrows provided to indicate t
avanturin [10]

Answer:

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5 0
1 year ago
A dog is chasing a cat towards a tree. The cat has a 10-yard lead and runs at 6 yards per second. The dog runs at a speed of 8 y
oksano4ka [1.4K]

Answer : Cat will reach tree first.

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speed of cat is, S_c=\dfrac{distance\ covered\ by\ cat}{time\ taken}

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t_c=3.33\ sec

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8\ Yards/sec=\dfrac{30\ yards}{t_d \ sec}

t_d=3.75\ sec

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3 0
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8 0
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