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monitta
4 years ago
13

You throw a ball straight down from an apartment balcony to the ground below. The ball has an initial velocity of 5.00m/s, direc

ted downward, and it hits the ground 2.00s after it is released. Find the height of the balcony
Please include the steps
Physics
1 answer:
erik [133]4 years ago
5 0
The height of the balcony may be calculated through the equation,
                                h = V₀t + 0.5gt²
where h is the height, V₀ is the initial velocity, g is the gravitational constant and t is time. Substituting the values given above,
                               h = (5 m/s)(2s) + 0.5(10 m/s²)(2 s)²
                                 h  = 30 m
Thus, the height of the balcony is 30 meters. 
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A satellite that goes around the earth once every 24 hours iscalled a geosynchronous satellite. If a geosynchronoussatellite is
alexgriva [62]

Answer:

R=4.22*10⁴km

Explanation:

The tangential speed v of the geosynchronous satellite is given by:

v=\frac{2\pi R}{T}

Because 2\pi R is the circumference length (the distance traveled) and T is the period (the interval of time).

Now, we know that the centripetal force of an object undergoing uniform circular motion is given by:

F_c=\frac{mv^{2} }{R}

If we substitute the expression for v in this formula, we get:

F_c=\frac{m(\frac{2\pi R}{T})^{2}}{R}=\frac{4m\pi ^{2}R}{T^{2}}

Since the centripetal force is the gravitational force F_g between the satellite and the Earth, we know that:

F_g=\frac{GMm}{R^{2}}\\\\\implies \frac{GMm}{R^{2}}=\frac{4m\pi ^{2}R}{T^{2}}\\\\R^{3}=\frac{GMT^{2}}{4\pi^{2}} \\\\R=\sqrt[3]{\frac{GMT^{2}}{4\pi^{2}} }

Where G is the gravitational constant (G=6.67*10^{-11} Nm^{2}/kg^{2}) and M is the mass of the Earth (M=5.97*10^{24}kg). Since the period of the geosynchronous satellite is 24 hours (equivalent to 86400 seconds), we finally can compute the radius of the satellite:

R=\sqrt[3]{\frac{(6.67*10^{-11}Nm^{2}/kg^{2})(5.97*10^{24}kg)(86400s)^{2}}{4\pi^{2}}}\\\\R=4.22*10^{7}m=4.22*10^{4}km

This means that the radius of the orbit of a geosynchronous satellite that circles the earth is 4.22*10⁴km.

5 0
3 years ago
A student holds an egg outside of an open window and let's go. The window is 40 meters above the ground and the egg is falling u
melisa1 [442]

The distance traveled by the egg after 2 seconds is 19.6 m.

The given parameters:

  • <em>Height of the window, h = 40 m</em>

The distance traveled by the egg after 2 seconds is calculated as follows;

h = v_0_y t + \frac{1}{2} gt^2\\\\

where;

  • <em />v_0_y<em> is the initial vertical velocity of the egg = 0</em>
  • <em>g </em><em>is acceleration due to gravity = 9.8 m/s²</em>
  • <em>t </em><em>is the time of motion, = 2 s</em>

h = 0 \ + \ \frac{1}{2} \times 9.8 \times (2)^2\\\\h = 19.6 \ m

Thus, the distance traveled by the egg after 2 seconds is 19.6 m.

Learn more about second equation of motion here: brainly.com/question/7977693

5 0
3 years ago
PLZ HELP
nalin [4]

Answer: the wavelenght is 9.8 meters

Explanation:

We can use the relationship:

Velocity = wavelenght*frequency.

Initially we have:

wavelenght = 4.9m

velocity = 9.8m/s

then:

9.8m/s =  4.9m*f

f = 9.8m/s/4.9m =  2*1/s

now, if the velocity is doubled and the frequency remains the same, we have:

2*9.8m/s = wavelenght*2*1/s

wavelenght = (2*9.8m/s)*(1/2)s = 9.8 m

6 0
4 years ago
The diagram below shows light striking a pane of glass. some of the light is reflected and some of the lightest transmitted. the
Leto [7]
Hi there!!! I hope i'm not late! i'm not sure but i think it might be letter:

B. F and A

If i'm wrong please correct me and explain so that I and everyone else know in the future...Thank you and sorry if i wasn't much help!!!

Have a Brainly Day!!! 
5 0
3 years ago
Read 2 more answers
How can an object become charged
morpeh [17]

Answer:

An object gets charged when it's atoms lose or gain an electron to become an ion. For example: ... This means that the fur loses it's electrons to the plastic rod and both objects are now charged. The fur is positively charged because it lost electrons and the rod is negatively charged because it gained electrons

Explanation:

comment how it helps

3 0
3 years ago
Read 2 more answers
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