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sergejj [24]
3 years ago
9

A ball which is dropped from the top of a building strikes the ground with a speed of 30m/s. Assume air resistance can be ignore

d. The height of the building is approximately
Physics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

               h= 45.87 m.

Explanation:

Data given:

Vf= 30m/s ,     and we know that g = 9.8 m/s²    

The ball has an initial velocity of zero      Vi = 0 m/s²    

To Find:

Height of the building = ?

Solution:

       According to 3rd law of the motion;

                                      2aS= Vf² - Vi²                      ( S= h , a=g)

                                     2*9.81*h = (30)² - (0)²

                                      h= 45.87 m.

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Write a linear equation that expresses the relationship between the temperature in degrees Celsius (C) and degrees Fahrenheit (F
UkoKoshka [18]

Answer:

\displaystyle F=\frac{9}{5}C+32

\displaystyle C=\frac{5}{9}(F-32)

Explanation:

<u>Temperature Units Conversion </u>

The conversion formula between Celsius and Fahrenheit temperature scales is well-known. But we'll use the provided data to derive the formula. Let's model the relationship between Fahrenheit (F) and Celsius (C) as a linear function like

F=mC+b

Where m and b must be computed according to the pair of conditions given. The values for each temperature scale are (C,F)=(0,32) and (100,212). Replacing the first value

32=m\times 0+b

It means that  

b=32

By using the second point

212=m\times 100+32

Solving for m

\displaystyle m=\frac{212-32}{100}=\frac{180}{100}

Simplifying

\displaystyle m=\frac{9}{5}

So, the conversion formula is

\displaystyle F=\frac{9}{5}C+32

Which is the widely known formula for temperature conversion

Solving for C, we get the inverse relation

\boxed{\displaystyle C=\frac{5}{9}(F-32)}

3 0
4 years ago
A clarinetist, setting out for a performance, grabs his 3.010 kg clarinet case (including the clarinet) from the top of the pian
KATRIN_1 [288]

Answer:

-0.481 m/s^2

Explanation:

The force equation of this problem is given as:

F - W = ma

where F = upward force holding the clarinet bag

W = downward force (weight of the clarinet)

The mass of the clarinet bag is 3.010 kg, therefore, its weight is:

W = mg

W = 3.010 * 9.8 = 29.498

F = 28.05 N

Therefore:

28.05 - 29.498 = 3.010 * a

-1.448 = 3.010a

=> a = -1.448 / 3.010

a = -0.481 m/s^2

The acceleration of the bag is downward.

8 0
3 years ago
Responsibilities of a class are derived from ________________.
mihalych1998 [28]

Answer:

The correct option is a behavioural models of the the to-be system.

Explanation:

As the  Use case analysis method generates the analysis classes list  such that the classes are capable of performing the behavior needed to make the system function successfully. From these analysis classes list the responsibilities of each class are defined.

As the list is derived from the behavioural models of the system, thus option a is the correct option.

7 0
3 years ago
A small sphere with mass 1.5g hangs by a thread between two parallel vertical plates 5cm apart. The plates are insulating and ha
kondaur [170]

The tralational equilibrium condition allows finding that the electric potential is   V = 4.8 10¹¹ V

Given parameter

  • The mass m = 1.5 g = 1.15 10-3 kg
  • The charge on the sphere q = 8.9 10-16 C
  • Plate spacing d = 5 cm = 5.00 10-2 m

To find

  • The potential difference

Newton's second law states that the force is proportional to the mass and the acceleration of the bodies, in the special case that the acceleration is zero, it establishes the condition for the equilibrium of the bodies

          ∑ F = 0

Where the bold indicate vector and F is the force

To use this equation we must fix a reference system with respect to which to carry out the decomposition and measurements of the forces; let's fix a system with the horizontal x axis and the vertical y axis, in the attachment I could see a free body diagram.

x- axis

     Fe - Tₓ = 0

     Fe = Tₓ

y-axis

     T_y - W = 0

     W = T_y

     mg = T_y

The electric force is

      Fe = q E = q V / d

let's use trigonometry to decompose the stress

     cos 30 =  T_y / T

     sin 30 = Tₓ / T

      T_y = T cos 30

      Tₓ = T sin 30

We substitute

        q V / d = T sin 30

        mg = T cos 30

It's solve the system of equations

         \frac{q \ V}{d \ m g} = tan 30

         V = \frac{d \ mg }{ q}\ tan \  30

It's calculate

         V = \frac{5.00 \ 10^{-2} 1.5 \ 10^{-3} \ 9.8}{ 8.9 10^{-16} } \ tan \ 30

         V = 4.768 10¹¹ V

In conclusion, using the equilibrium condition, we could find that the electric potential is V = 4.8 10¹¹ V

Learn more about equilibrium condition here:

brainly.com/question/1967702

7 0
2 years ago
The statement "for every action, there is an equal but opposite reaction" is a statement of____.
chubhunter [2.5K]
ANSWER: Isaac Newton
EXPLANATION: It is the 3rd law
3 0
2 years ago
Read 2 more answers
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