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4 years ago

Why do we say that Neptune was the first planet to be discovered through the use of mathematics?

Physics

1 answer:

puteri [66]4 years ago

7 0

Answer:

explained

Explanation:

the Neptune was the first planet discovered through the use of mathematics by two astronomers one French and other English. This was breakthrough success in the field of astronomy that marked the importance of mathematics in astronomy. The discovery of the Neptune resulted from the need to explain the motion of Uranus, motion of which could not be explained by the gravitational effect of Jupiter and Neptune.It needed very complex mathematical equations to be Solved to explain it. The two astronomers were Joseph le Verrier and John Couch Adams.

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If a wave has a frequency of 10hz and a wavelength of 100m what is the velocity

Elena L [17]

1000 m/s

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3 years ago

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3 years ago

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If a gun is sighted to hit targets that are at the same height as the gun and 75 m away at the same height, how low, as a positi

Vinvika [58]

Answer:

y=-1.66 m

Explanation:

We know that

Range R

$R=\dfrac{u^2sin2\theta }{g}$

Here given that

u= 275 m/s

R=75 m

Now by putting the values

$R=\dfrac{u^2sin2\theta }{g}$

$35=\dfrac{275^2sin2\theta }{9.81}$

θ=0.13°

Now horizontal component of velocity u will be u cosθ.

Horizontal component = 275 cos0.13 = 274.99 m/s

So the time required to cover 180 m in horizontal direction t

180 = 274.99 x t

t=0.65 sec

Now vertical component of velocity u will be u sinθ.

Horizontal component = 275 sin0.13 = 0.62 m/s

So now vertical displacement y will be

$y=u_yt-\dfrac{1}{2}gt^2$

$y=0.62 \times 0.65-\dfrac{1}{2}\times 9.81\times 0.65^2$

y=-1.66 m

5 0

3 years ago

Determine the speed of a satellite relative to the indicated planet if the satellite is to travel indefinitely in a circular orb

frutty [35]

Answer:

v = √[ GM / (R + 160934.4 meters) ]

Explanation:

The speed of an object in a circular orbit (in meters per second) is

v = √(GM/r)

where

G = 6.6743e-11 m³ kg⁻¹ sec⁻²

M = the sum of the masses of the planet and the satellite in kilograms

r = the radius of the circular orbit in meters

If the planet's radius, R, is 100 miles, then

v = √[ GM / (R + 160934.4 meters) ]

3 0

4 years ago

A wheel with a rotational inertia of 8.0 kg-m2 and a rotational kinetic energy of 155 joules requires what torque to bring it to

Kisachek [45]

To solve this problem, we will begin by applying the concept of rotational kinetic energy, defined as the product of half of the Inertia by squared angular velocity. From this relationship we will obtain the value of the angular velocity.

$KE = \frac{1}{2}I \omega^2$

Here,

I = Moment of Inertia

$\omega$ = Angular velocity

Replacing with our values we have that,

$155= \frac{1}{2} (8)\omega^2$

$\omega = \sqrt{\frac{155*2}{8}}$

$\omega = 6.2249rad/s$

Now through the kinematic equations of angular movement we will find the value of the angular acceleration, since this is equivalent to the change of the angular velocity in a certain time, like this:

$\alpha = \frac{\Delta \omega}{\Delta t}$