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
Debora [2.8K]
3 years ago
12

From the top of the engineering building, you throw a ball vertically upward. the ball strikes the ground 4.00 s later. the engi

neering building is 35.0 m tall. what is the initial velocity of the ball?

Physics
2 answers:
MariettaO [177]3 years ago
7 0
The diagram shown below illustrates the problem.
v =  vertical upward launch velocity.
g = 9.8 m/s² is acceleration due to gravity.

When s = - 35m, the elapsed time is 4 s.
Therefore
(- 35 m) = (v m/s)*(4 s) - (1/2)*(9.8 m/s²)*(4 s)²
-35 = 4v - 78.4
4v = 78.4 - 35 = 43.4
  v = 10.85 m/s

Answer: 10.85 m/s


anastassius [24]3 years ago
5 0
Equations of the vertical launch:

Vf = Vo - gt

y = yo + Vo*t - gt^2 / 2

Here yo = 35.0m
Vo is unknown
y final = 0
t = 4.00 s
and I will approximate g to 10m/s^2

=> 0 = 35.0 + Vo * 4 - 5 * (4.00)^2 => Vo = [-35 + 5*16] / 4 = - 45 / 4 = -11.25 m/s

The negative sign is due to the fact that the initial velocity is upwards and we assumed that the direction downwards was positive when used g = 10m/s^2.

Answer: 11.25 m/s


You might be interested in
A 5.67-kg block of wood is attached to a spring with a spring constant of 150 N/m. The block is free to slide on a horizontal fr
nikklg [1K]

Answer:

v=0.94 m/s

Explanation:

Given that

M= 5.67 kg

k= 150 N/m

m=1 kg

μ = 0.45

The maximum acceleration of upper block can be μ g.

 a= μ g                          ( g = 10 m/s²)

The maximum acceleration of system will ω²X.

ω = natural frequency

X=maximum displacement

For top stop slipping

μ g  =ω²X

We know for spring mass system natural frequency given as

\omega=\sqrt{\dfrac{k}{M+m}}

By putting the values

\omega=\sqrt{\dfrac{150}{5.67+1}}

ω = 4.47 rad/s

μ g  =ω²X

By putting the values

0.45 x 10 = 4.47² X

X = 0.2 m

From energy conservation

\dfrac{1}{2}kX^2=\dfrac{1}{2}(m+M)v^2

kX^2=(m+M)v^2

150 x 0.2²=6.67 v²

v=0.94 m/s

This is the maximum speed of system.

7 0
3 years ago
Read 2 more answers
(01.01 LC) Two boxes are 8 cm apart. Which of the following should Janet do to
Trava [24]
Place the boxes 10cm apart, if they are closer that concentrates the mass of the boxes more
4 0
3 years ago
Read 2 more answers
28. Which of the following correctly shows the order of highest amount of friction to the lowest amount of
Bad White [126]

Answer:

\mathrm{d.\:Static,\: Sliding,\:Rolling}

Explanation:

Static friction occurs when an object initially starts at rest. When the surfaces of the materials touch, the microscopic unevenness interlock greatest with each other, causing the most friction out of the three.

During sliding friction, an object is already moving or in motion. The microscopic surfaces still interlock, but because the object is in motion, it has a momentum. Therefore, the magnitude of sliding friction is less than that of static friction.

Rolling friction occurs when an object rolls across some surface. Rather than surfaces interlocking, rolling friction is caused by the constant distortion of surfaces. As it rolls, the surfaces of the object are constantly wrapping and changing. This distortion causes the rolling friction. However, it is much less in magnitude when compared to static or sliding friction.

4 0
3 years ago
An open organ pipe of length 0.47328 m and another pipe closed at one end of length 0.702821 m are sounded together. What beat f
sineoko [7]

Answer:

fb = 240.35 Hz

Explanation:

In order to calculate the beat frequency generated by the first modes of each, organ and tube, you use the following formulas for the fundamental frequencies.

Open tube:

f=\frac{v_s}{2L}         (1)

vs: speed of sound = 343m/s

L: length of the open tube = 0.47328m

You replace in the equation (1):

f=\frac{343m/s}{2(0.47228m)}=362.36Hz      

Closed tube:

f'=\frac{v_s}{4L'}

L': length of the closed tube = 0.702821m

f'=\frac{343m/s}{4(0.702821m)}=122.00Hz

Next, you use the following formula for the beat frequency:

f_b=|f-f'|=|362.36Hz-122.00Hz|=240.35Hz

The beat frequency generated by the first overtone pf the closed pipe and the fundamental of the open pipe is 240.35Hz

7 0
3 years ago
If a satellite weighs 321 lb. on the earth's surface (R = 4,000 miles), how much does it weigh 12,000 miles above the surface? (
Sever21 [200]

The gravitational force between the Earth and the satellite (its "weight") is inversely proportional to the distance between the centers of both objects.

On the surface, their centers are separated by 1 Earth radius.

12,000 miles above the surface, they're separated by 4 Earth radiii.

(4/1) = 4

So after the move, the satellite's weight is (1/4²) = 1/16 of its surface weight.

(321 lb) / (16) = (20 and a hair) lb

The correct choice from the given list is " <em>>20 lb "</em> .  

3 0
3 years ago
Other questions:
  • When this circuit is closed, which way do the electrons flow?
    10·2 answers
  • What are the SI base units for length and mass?
    14·2 answers
  • An early submersible craft for deep-sea exploration was raised and lowered by a cable from a ship. When the craft was stationary
    5·1 answer
  • The Electric Potential of the Earth The Earth has a vertical electric field with a magnitude of approximately 100 V/m near its s
    12·1 answer
  • When placed in a lake, an object either floats on the surface or sinks. It does not float at some intermediate location between
    5·2 answers
  • Halving the distance (i.e., decreasing by a factor of two) between two charged objects will cause the electrical force between t
    8·1 answer
  • A way to charge insulators and conductors (the answer in 7 alphabets)
    11·1 answer
  • 4. Mr. Ames is dragging a box full of books from his office to his car. The box and books together have a
    11·1 answer
  • Select all the wave properties that can change how we perceive light waves.amplitudeamplitudecrestscreststimetimefrequency
    11·1 answer
  • A plant cell is no longer capable of capturing energy from sunlight and converting it into chemical energy. Which organelle is m
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!