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Pavlova-9 [17]
3 years ago
10

Um ônibus percorre a distância de 480 km, entre Santos e Curitiba, com velocidade escalar média de 80 km/h. De Curitiba a Floria

nópolis, distantes 300 km, o ônibus desenvolve a velocidade escalar média de 75 km/h. Qual a velocidade escalar média do ônibus entre Santos e Florianópolis?
Physics
2 answers:
Mariulka [41]3 years ago
7 0

Answer:

10 h

Explanation:

velocidade é a taxa de variação da distância no tempo. é a razão entre a distância e o tempo

de Santos e Curitiba:

distância (d) de 480 km, velocidade (s) de 80 km/h

s=\frac{d}{t}\\ t=\frac{d}{s} =\frac{480}{80}=6h

de Curitiba e Florianópolis:

distância (d) de 300 km, velocidade (s) de 75 km/h

s=\frac{d}{t}\\ t=\frac{d}{s} =\frac{300}{75}=4h

tempo médio de ônibus entre Santos e Florianópolis = 6h + 4h = 10h

WITCHER [35]3 years ago
6 0

Answer:

78 km/h

Explanation:

To solve this problem, we need to find the total distance and time travelled, then we can divide them to find the average speed.

From Santos and Curitiba, the time travelled is:

480 = 80 * t1

t1 = 480 / 80 = 6 hours

From Curitiba to Florianopolis, the time travelled is:

300 = 75 * t2

t2 = 300 / 75 = 4 hours

So, the total time travelled is t1 + t2 = 10 hours

And the total distance travelled is 480 + 300 = 780 km

Then, we can calculate the average speed:

speed = 780 / 10 = 78 km/h

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A motorcycle traveling at a speed of 44.0 mi/h needs a minimum of 44.0 ft to stop. If the same motorcycle is traveling 79.0 mi/h
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4 0
3 years ago
Two taut strings of identical mass and length are stretched with their ends fixed, but the tension in one string is 1.10 times g
ollegr [7]

Answer:

The  beat frequency when each string is vibrating at its fundamental frequency is 12.6 Hz

Explanation:

Given;

velocity of wave on the string with lower tension, v₁ = 35.2 m/s

the fundamental frequency of the string, F₁ = 258 Hz

<u>velocity of wave on the string with greater tension;</u>

v_1 = \sqrt{\frac{T_1}{\mu }

where;

v₁ is the velocity of wave on the string with lower tension

T₁ is tension on the string

μ is mass per unit length

v_1 = \sqrt{\frac{T_1}{\mu} } \\\\v_1^2 = \frac{T_1}{\mu} \\\\\mu = \frac{T_1}{v_1^2} \\\\ \frac{T_1}{v_1^2} =  \frac{T_2}{v_2^2}\\\\v_2^2 = \frac{T_2v_1^2}{T_1}

Where;

T₁ lower tension

T₂ greater tension

v₁ velocity of wave in string with lower tension

v₂ velocity of wave in string with greater tension

From the given question;

T₂ = 1.1 T₁

v_2^2 = \frac{T_2v_1^2}{T_1}  \\\\v_2 = \sqrt{\frac{T_2v_1^2}{T_1}} \\\\v_2 = \sqrt{\frac{1.1T_1*(35.2)^2}{T_1}}\\\\v_2 = \sqrt{1.1(35.2)^2} = 36.92 \ m/s

<u>Fundamental frequency of wave on the string with greater tension;</u>

<u />f = \frac{v}{2l} \\\\2l = \frac{v}{f} \\\\thus, \frac{v_1}{f_1}  =\frac{v_2}{f_2} \\\\f_2 = \frac{f_1v_2}{v_1} \\\\f_2 =\frac{258*36.92}{35.2} \\\\f_2 = 270.6 \ Hz<u />

Beat frequency = F₂ - F₁

                          = 270.6 - 258

                          = 12.6 Hz

Therefore, the  beat frequency when each string is vibrating at its fundamental frequency is 12.6 Hz

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