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]
4 years ago
9

I WILL GIVE BRAINLIEST!!!! Your friend stands on the roof of her house, which is 12.2 m off the ground, and kicks a soccer ball

to you so that it is initially moving horizontally at 13.9 m/s. What is its speed as it hits the ground? The time is 1.58 seconds.
Physics
1 answer:
mr_godi [17]4 years ago
8 0

Answer:

16.74 m/s

Explanation:

From the question, the parameters given are:

Height h = 12.2 metres

Initial velocity U = 13.9 m/s

Time t = 1.58 s

The range or distance covered by the ball will be

R = u^2/g

Where g = 9.8 m/s^2

R = 13.9^2/9.8

R = 193.21/9.8

R = 19.72 m

Let first calculate the acceleration by using the formula below

R = Ut + 1/2at^2

Substitute all the parameters into the formula

19.72 = 13.9 × 1.58 - 1/2 × a × 1.58^2

19.72 = 21.962 - 1.2482a

Collect the like terms

-1.2482a = 19.72 - 21.962

- 1.2482a = - 2.242

a = 2.242/1.2482

a = 1.796 m/s^2

Using equation 1 to find the final speed

V = U + at

V = 13.9 + 1.796 × 1.58

V = 13.9 + 2.838

V = 16.74 m/s

Therefore, it hit the ground at speed 16.74 m/s

You might be interested in
Approximately how many kelvins are equal to 60°f? <br> a. 333 <br> b. 323 <br> c. 413 <br> d. 289
Afina-wow [57]
D. 289
Take the formula:
K=5/9(Fahrenheit-32)+273
Plug in Fahrenheit
K=5/9 (60-32)+273
From here it is simple math and you can plug it into your calculator getting 288.5555556 and round to 289
3 0
4 years ago
Read 2 more answers
4. How many neutrons are there in an atom of protium? Deuterium? Tritium? <br> P
insens350 [35]
The main difference between protium, deuterium, and tritium is that protium has no neutrons in its nuclei, whereas deuterium is composed of one neutron and tritium is composed of two neutrons [17]. Protium is an isotope of hydrogen that is composed of one proton and one electron.
6 0
3 years ago
In 2017, the company SpaceX became the first private company to send supplies to the International Space Station with a reusable
pav-90 [236]

Answer:

Approximately 3.98\; \rm m \cdot s^{-2}.

Assumption: air resistance on the rocket is negligible. Take g = \rm 9.81\; m \cdot s^{-2}.

Explanation:

By Newton's Second Law of Motion, the acceleration of the rocket is proportional to the net force on it.

\displaystyle \text{Acceleration} = \frac{\text{Net Force}}{\text{Mass}}.

Note that in this case, the uppercase letter \rm M in the units stands for "mega-", which is the same as 10^6 times the unit that follows. For example, \rm 1\; Mg = 10^6\; g, while \rm 1\; MN = 10^6\; N.

Convert the mass of the rocket and the thrust of its engines to SI standard units:

  • The standard unit for mass is kilograms: \displaystyle m = \rm 552\; Mg = 552 \times 10^6\; g \times \frac{1\; \rm kg}{10^3\; g}  = 552 \times 10^3 \; kg.
  • The standard for forces (including thrust) is Newtons: \text{Thrust} = \rm 7.61 \; MN = 7.61 \times 10^6\; N.

At launch, the velocity of the rocket would be pretty low. Hence, compared to thrust and weight, the air resistance on the rocket would be pretty negligible. The two main forces that contribute to the net force of the rocket would be:

  • Thrust (which is supposed to go upwards), and
  • Weight (downwards due to gravity.)

The thrust on the rocket is already known to be \rm 7.61 \times 10^6\; N. Since the rocket is quite close to the ground, the gravitational acceleration on it should be approximately 9.81\; \rm m \cdot s^{-2} = 9.81 \; N \cdot kg^{-1}. Hence, the weight on the rocket would be approximately 9.81\; \rm N \cdot kg^{-1} \times 552 \times 10^3\; kg = 5.41412\times 10^6\; N.

The magnitude of the net force on the rocket would be

\begin{aligned}&\text{Thrust} - \text{Weight} \\ &= 7.61 \times 10^6\; \rm N - 5.41412\times 10^6\; N \\ &\approx 2.19 \times 10^6\; \rm N\end{aligned}.

Apply the formula \displaystyle \text{Acceleration} = \frac{\text{Net Force}}{\text{Mass}} to find the net force on the rocket. To make sure that the output (acceleration) is in SI units (meters-per-second,) make sure that the inputs (net force and mass) are also in SI units (Newtons for net force and kilograms for mass.)

\begin{aligned}\displaystyle &\text{Acceleration} \\ &= \frac{\text{Net Force}}{\text{Mass}} \\ &= \frac{2.19 \times 10^6\; \rm N}{552 \times 10^3\; \rm kg}  \\ &\approx \rm 3.98\; \rm m \cdot s^{-2}\end{aligned}.

6 0
3 years ago
An orbiting meteor has a mass of 5,123,788 g. What is the mass of the meteor in kg?
gavmur [86]

Answer:

5123.79 kg

Explaination:

I did 5,123,788 divided by 1000 and got 5123.788

Then I rounded to the nearest 10th place.

Hope this helps, have a great day!

6 0
3 years ago
Why do cars need a cooling system in conjunction with the engine
snow_lady [41]
So it doesnt get over heated ...
A cooling system<span> works by sending a liquid </span>coolant<span> through passages in the </span>engine<span>block and heads. As the </span>coolant<span> flows through these passages, it picks up heat from the </span>engine<span>. The heated fluid then makes its way through a rubber hose to the radiator in the front of the </span>car<span>.</span>
7 0
3 years ago
Other questions:
  • _______ waves are unique because of their ability to travel through a vacuum, a space that contains no particles of matter.
    8·2 answers
  • a 550 kg car accelerates from 15 m/s to 25 m/s in 15 s by applying a constant force. how large of a force is exerted? Please sho
    7·1 answer
  • A(n) is a line in which waves that are moving together are all in the same phase.
    13·1 answer
  • In the chemical reaction in which carbon, hydrogen and oxygen absorb heat and combine to form carbon dioxide and water which of
    13·2 answers
  • charles law states that at a constant pressure , the volume of a given amount of gas is _____ to its absolute temperature.
    11·2 answers
  • Which of the following describes an electric conductor?
    15·2 answers
  • What factors cause a rock to become metamorphic
    9·2 answers
  • A rollercoaster moves from the bottom of a hill and approaches the top of the hill. If friction between the wheels and the track
    9·1 answer
  • Pls help me pls<br>pls use the points as my thank you ​
    7·2 answers
  • Suppose that you measure the length of a spaceship, at rest relative to you, to be 400 m. how long will you measure it to be if
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!