1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew11 [14]
3 years ago
13

An object of mass 10kg is released from rest 1000m above the ground and allowed to fall under the influence of gravity. Assuming

the force due to air resistance is proportional to the velocity of the object with proportionality constant bequals40​N-sec/m, determine the equation of motion of the object. When will the object strike the​ ground? Assume that the acceleration due to gravity is 9.81 m divided by sec squaredand let​ x(t) represent the distance the object has fallen in t seconds.
Physics
1 answer:
DIA [1.3K]3 years ago
7 0

Answer:

x(t) =  2.4525 t -0.6131 × ( 1 - e^{4t} )

t = 408 second

Explanation:

given data

mass m = 10 kg

height x(t)  = 1000 m

b = 40 N-s/m

acceleration due to gravity g = 9.81 m/s²

solution

we know here that equation of motion here v(t) is express as

v(t) = \frac{mg}{b} + (vo - \frac{mg}{b}^{e^{bt/m}} )          ......................1

and

x(t) will be express here as

x(t) = \frac{mg}{b} t + \frac{m}{b} (vo -\frac{mg}{b})\times ( 1- e^{bt/m})    .......................2

now put here value in equation 2 and we will get

x(t) = \frac{10\times 9.81}{40} t+ \frac{10}{40} (0 - \frac{10 \times 9.81}{40}) \times ( 1- e^{40t/10})    

x(t) =  2.4525 t -0.6131 × ( 1 - e^{4t} )

and

now we get here time t after object hit 1000 m by height

put here value x(t) we get t

1000 =  2.4525 t -0.6131 × ( 1 - e^{4t} )

solve it and we get by neglecting e^{4t}

t = 408 second

You might be interested in
Explain in your own words how volume is measured.
pav-90 [236]

Answer:

volume measured by pid^3 over 6 i think

Explanation:

7 0
3 years ago
Read 2 more answers
An ambulance emits a frequency of 450 Hz from its siren. What frequency is heard by a man as the ambulance moves toward him? les
Zepler [3.9K]

Frequency is defined as the number of repetitions of waves occurring in 1 second. The frequency heard by the man as the ambulance move toward him will be greater than 450 Hz.

<h3>What is the frequency ?</h3>

Frequency is defined as the number of cycles completed in 1 second. Frequency is given by the formula as,

\rm{Frequency =\frac{1}{time } }

As the formula shows frequency is inversely proportional to the time that shows if the time is decreasing frequency will increase and vice versa.

In the above case, the ambulance is moving toward the men. So that the time to meet up is decreased that's why the frequency will be greater than the initial frequency from the siren.

Hence the frequency heard by the man as the ambulance move toward him will be greater than 450 Hz.

To learn more about  frequency refer to the link ;

brainly.com/question/4393505

3 0
3 years ago
8. The ratio of output power to input power, in percent?A. work. B. efficiency. C. horsepower. D. conductivity.
Tema [17]
That ratio is the efficiency of whatever the power went into and came out of. There's no reason the efficiency has to be expressed as a percentage.
7 0
3 years ago
Read 2 more answers
What type of light can go through aluminum foil
EleoNora [17]

Answer:

DmxmxmdmdExplanation:sejwjsjskdkdkdekskekememd

8 0
3 years ago
Which unit of heat was originally defined in terms of the Fahrenheit temperature scale, not the Celsius scale?
Kitty [74]

Answer:

I think the answer would be British Thermal Unit

Explanation:

It equals one degree Fahrenheit and the equation for it is  1.055 × 103 joules.

8 0
3 years ago
Read 2 more answers
Other questions:
  • draw a velocity graph with Vi = 4 m/s and decreasing uniformly so that velocity at 2 seconds is 2 m/s and remaining constant fro
    9·1 answer
  • Find the work done in pumping gasoline that weighs 6600 newtons per cubic meter. A cylindrical gasoline tank 3 meters in diamete
    7·1 answer
  • If the mass of a material is 111 grams and the volume of the material is 23 cm3, what would the density of the material be? g/cm
    13·1 answer
  • A caregiver's love, affection, and acceptance are considered conditional if they're given only when the child is well-behaved or
    13·2 answers
  • The three components of velocity in a velocity field are given by u = Ax + By + Cz, v = Dx + Ey + Fz, and w = Gx + Hy + Jz. Dete
    8·1 answer
  • A rifle with a longer barrel can fire bullets with a larger velocity than a rifle with a shorter barrel. a) Explain this using t
    12·1 answer
  • 3. When you graph the motion of an object, you put ____ on the horizontal axis and ____ on the axis.   a.  speed, time   b.  dis
    8·2 answers
  • In what direction or orientation did the man throw the ball in image A? image B?​
    10·1 answer
  • Problem 6. A negatively charged particle is placed in a uniform electric field directed
    10·1 answer
  • Ilang ektarya ang lawak na itinakda ni llda na maaaring gawin palaisdaan​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!