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konstantin123 [22]
3 years ago
5

a basketball is tossed upwards with a speed of 5.0 m/s What is the maximum height reached by the basketball from its release poi

nt?
Physics
2 answers:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

Maximum height, h = 1.27 meters

Explanation:

It is given that,

Initial speed of the basketball, u = 5 m/s

At maximum height, the final speed of the basketball, v = 0

Let h is the maximum height reached by the basketball from its release point. It can be calculated using third equation of motion as :

v^2-u^2=2as

Here, a = -g

-u^2=-2gh

u^2=2gh

h=\dfrac{u^2}{2g}

h=\dfrac{(5)^2}{2\times 9.8}

h = 1.27 meters

So, the maximum height reached by the basketball from its release point is 1.27 meters. Hence, this is the required solution.

den301095 [7]3 years ago
3 0

Answer:

1.275 m

Explanation:

Let the maximum height reached be h.

Here initial velocity, u = 5 m/s

Final velocity, V = 0

Use third equation of motion

V^2 = u^2 + 2 g h

0 = 25 - 2 × 9.8 × h

h = 25/19.6 = 1.275 m

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Assume that the function x(t) represents the length of tape that has unwound as a function of time. find θ(t), the angle through
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We know that arc length (x(t)) is given with the following formula:
x(t)=\theta(t) r
Where r is the radius of the barrel. We must keep in mind that as barrel rolls its radius decreases because less and less tape is left on it.
If we say that the thickness of the tape is D then with every full circle our radius shrinks by d. We can write this down mathematically:
r(\theta)=r_0-\frac{D\cdot \theta}{2\pi}
When we plug this back into the first equation we get:
x(t)=\theta(r_0-\frac{D\theta}{2\pi}})\\ \frac{D\theta^2}{2\pi}-\theta r_0+x(t)=0\\
We must solve this quadratic equation.
The final solution is:
\theta=\frac{\pi r_0+\sqrt{\pi \left(-2Dx(t)+\pi r_0^2\right)}}{D},\:\theta=\frac{\pi r_0-\sqrt{\pi \left(-2Dx(t)+\pi r_0^2\right)}}{D}
It is rather complicated solution. If we asume that the tape has no thickness we get simply:
x(t)=\theta(r_0-\frac{D\theta}{2\pi}});D=0\\
x(t)=\theta r_0\\
\theta(t)=\frac{x(t)}{r_0}

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3 years ago
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2 years ago
(a) Calculate the magnitude of the gravitational force exerted on a 497-kg satellite that is a distance of 1.92 earth radii from
Setler [38]

Answer:

a)  1321.45 N

b)  1321.45 N

c)  2.66 m/s^2

d) 2.21*10^-22 m/s^2

Explanation:

Hello!

First of all, we need to remember the gravitational law:

F = G \frac{m_1 m_2}{r^2}

Were

   G = 6.67428*10^-11 N(m/kg)^2

   m1 and m2 are the masses of the objects

   r is the distance between the objects.

In the present case

m1 = earth's mass =  5.9742*10^24 kg

m2 = 497 kg

r = 1.92 earth radii = 1.92 * (6378140 m) = 1.2246*10^7 m

Replacing all these values on the gravitational law, we get:

F = 1321.45 N

a)  and  b)

Both bodies will feel a force with the same magnitude 1321.45 N but directed in opposite directions.

The acceleration can be calculated dividing the force by the mass of the object

c)

a_satellite = F/m_satellite = ( 1321.45 N)/(497 kg)

a_satellite = 2.66 m/s^2

d)

a_earth = F/earth's mass = (1321.45 N)/( 5.9742*10^24 kg)

a_earth = 2.21*10^-22 m/s^2

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Answer:

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Answer:

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Explanation:

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