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koban [17]
2 years ago
7

You are walking around your neighborhood and you see a child on top of a roof of a building kick a soccer ball. The soccer ball

is kicked at 51° from the edge of the building with an initial velocity of 13 m/s and lands 63 meters away from the wall. How tall, in meters, is the building that the child is standing on?
Physics
1 answer:
Zina [86]2 years ago
7 0

Answer:

y_{o}=213m

Explanation:

From the exercise we know that the child hits the ball with an initial velocity, its direction and where it hits the ground.

First of all, we need to calculate <u>how long does it take to hit the ground</u>

x=v_{ox}t

knowing that x=63m

63m=(13cos(51)m/s)t

t=\frac{63m}{13cos(51)m/s}=7.70s

Now, from free falling object's formula we know that position is:

y=y_{o}+v_{oy}t+\frac{1}{2}gt^2

When the ball hits the ground it is at y=0m

0=y_{o}+(13sin(51)m/s)(7.70s)-\frac{1}{2}(9.8m/s)(7.70s)

y_{o}=(4.9m/s^2)(7.70s)^2-(13sin(51)m/s)(7.70s)=213m

So, the building is 213m tall

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A sound wave has a frequency of 250 Hz and a wavelength of 2.5 m. What is the speed of the wave?
Digiron [165]

ANSWER

625 m/s

EXPLANATION

Given:

• The frequency of the sound wave, f = 250 Hz

,

• The wavelength, λ = 2.5 m

Find:

• The speed of the wave, v

The speed of a wave of wavelength λ and frequency f is given by,

v=f\cdot\lambda

Substitute the known values and solve,

v=250Hz\cdot2.5m=625m/s

Hence, the speed of the wave is 625 m/s.

3 0
1 year ago
After a while, the car started to go around a long bend, still maintaining its constant speed of 55 miles per hour. Is there a n
sukhopar [10]

Answer:

4) True. The change of direction needs an unbalanced force

Explanation:

Let us propose the resolution of the problem using Newton's second law.

    F = m a

As the car is spinning the acceleration is centripetal

    a = v2.r

   

    F = m v2 / r

We can see that as the velocity of a vector even if its module does not change, the change of direction requires an external force.

Now we can analyze the statement if they are true or false

1) and 3) False, even when the speed changes, the direction changes

2) False with the speed change can be determined

4) True. The change of direction needs an unbalanced force

5) False are different things. the direction is where it is going and the speed is the magnitude of the vector

6 0
2 years ago
At what speed relative to the ship does she recoil toward the spaceship?
Andre45 [30]
She recoil at a high speed than a low
7 0
3 years ago
In midair an M = 145 kg bomb explodes into two pieces of m1 = 115 kg and another, respectively. Before the explosion, the bomb w
Daniel [21]

Answer:

v_2=-133.17m/s, the minus meaning west.

Explanation:

We know that linear momentum must be conserved, so it will be the same before (p_i) and after (p_f) the explosion. We will take the east direction as positive.

Before the explosion we have p_i=m_iv_i=Mv_i.

After the explosion we have pieces 1 and 2, so p_f=m_1v_1+m_2v_2.

These equations must be vectorial but since we look at the instants before and after the explosions and the bomb fragments in only 2 pieces the problem can be simplified in one dimension with direction east-west.

Since we know momentum must be conserved we have:

Mv_i=m_1v_1+m_2v_2

Which means (since we want v_2 and M=m_1+m_2):

v_2=\frac{Mv_i-m_1v_1}{m_2}=\frac{Mv_i-m_1v_1}{M-m_1}

So for our values we have:

v_2=\frac{(145kg)(24m/s)-(115kg)(65m/s)}{(145kg-115kg)}=-133.17m/s

5 0
2 years ago
Which statement is false?
Mkey [24]

Answer:

Once you reach adulthood, you will not experience peer pressure.

Explanation:

We tend to believe that self-control comes from within, but many of our attitudes depend as much on friends and family as on ourselves. That's because at any stage of our life (even the adult stage) our friends and our family have the power to influence us, sometimes that influence is good and sometimes bad, it's up to us to reason about them.

The people around us have the power to make us fat, consume more alcohol, worry less about the environment and expose ourselves to the sun without proper protection, among many other things.

It is not simply about peer pressure, where you deliberately act in a certain way to suit the group. It is, in fact, largely an unconscious attitude. Without your awareness, your brain is constantly picking up cues from people around you to dictate your behavior. And the consequences can be serious.

3 0
3 years ago
Read 2 more answers
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