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Georgia [21]
3 years ago
7

An airplane is moving horizontally with a constant velocity of (+ 115 m/s) at altitude of 1050 m. The directions to the right an

d upward have been chosen as the positive directions. The plane releases a "care package' that falls to the ground along a curved trajectory. Ignoring air resistance, determine the time required for the package to hit the ground
Physics
1 answer:
PtichkaEL [24]3 years ago
7 0

Answer:

The time required for the package to hit the ground = 14.63 seconds.

Explanation:

<u>Considering vertical motion of care package</u>:-

Initial velocity, u =  0 m/s

Acceleration , a = 9.81 m/s²

Displacement, s = 1050 m

We have equation of motion s= ut + 0.5 at²

Substituting

   s= ut + 0.5 at²

    1050 = 0 x t + 0.5 x 9.81 x t²

    t = 14.63 seconds

The time required for the package to hit the ground = 14.63 seconds.

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Since we are given the density and volume, then perhaps we can determine the amount in terms of the mass. All we have to do is find the volume in terms of cm³ so that it will cancel out with the cm³ in the density. The conversion is 1 ft = 30.48 cm. The solution is as follows:

V = (14 ft)(15 ft)(8 ft)(30.48 cm/1 ft)³ = 0.0593 cm³

The mass is equal to:
Mass = (0.00118g/cm³)(0.0593 cm³)
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3 years ago
A cup of hot coffee initially at 95 degrees C cools to 80 degrees C in 5 min while sitting in a room of temperature 21 degrees C
Oksana_A [137]

Answer:

When the temperature of the coffee is 50 °C, the time will be 20.68 mins

Explanation:

Given;

The initial temperature of the coffee T₀ = 95 °C

The temperature of the room = 21°C

Let T be the temperature at time of cooling t in mins

According to Newton's law of cooling;

\frac{dT}{dt} \alpha (T-21)\\\\\frac{dT}{dt} = k (T-21)\\\\\frac{dT}{T-21} = kdt\\\\\int\limits {\frac{dT}{T-21}}  =  \int\limits kdt\\\\Log(T-21) =kt +  Logc \\\\Log (\frac{T-21}{c} ) = kt\\\\T -21 = ce^{kt}\\\\At \ t = 0, T = 95\\\\95-21 = ce^0\\\\74 = c\\\\New, equation: T -21 = 74e^{kt}\\\\Again; when \ t= 5\ min, T = 80\\\\80 -21 = 74e^{5k}\\\\59 = 74e^{5k}\\\\e^{5k} = \frac{59}{74}\\\\ 5k = ln(\frac{59}{74})\\\\5k = -0.2265\\\\k = -0.0453

When the temperature is 50 °C, the time t in min is calculated as;

T -21 = 74e^{-0.0453t}\\\\50 -21 = 74e^{-0.0453t}\\\\29 = 74e^{-0.0453t}\\\\\frac{29}{74} = e^{-0.0453t}\\\\0.39189 = e^{-0.0453t}\\\\ln(0.39189 ) = {-0.0453t}\\\\-0.93677 = {-0.0453t}\\\\t = \frac{-0.93677}{-0.0453}\\\\ t = 20.68 \ mins

Therefore, when the temperature of the coffee is 50 °C, the time will be 20.68 mins

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3 years ago
the inductive reactance of a 20.0-mh inductor at a certain frequency is 120 ω. what is the frequency in hz?
QveST [7]

The inductive reactance of a 20.0-mh inductor at a certain frequency is 120 ω. 955hz is the frequency in hz

In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

How frequently something occurs is what is meant by the word frequency. A person blinking their eyelids 47 times in a minute is an example of frequency. the quality or state of happening frequently.

Frequency is a numerical value that expresses how frequently a specific item appears in the supplied data set. Grouped frequency distribution and Ungrouped In physics, frequency is a numerical value that expresses how frequently a specific item appears in the supplied data set. Distribution are the two different types of frequency tables.

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2 years ago
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Ion how to do this at all
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I gotchu, the answer’s elastic potential energy.
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