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navik [9.2K]
4 years ago
7

An Earth satellite moves in a circular orbit 561 km above Earth's surface with a period of 95.68 min. What are (a) the speed and

(b) the magnitude of the centripetal acceleration of the satellite?
Physics
1 answer:
crimeas [40]4 years ago
3 0

Explanation:

It is given that,

Radius of earth, r = 6371 km

An earth satellite moves in a circular orbit above the Earth's surface, d = 561 km

So, radius of satellite, R = 6371 km + 561 km = 6932 × 10³ m

Time taken, t = 95.68 min = 5740.8 sec

(a) Speed of the satellite is given by :

v=\dfrac{d}{t}

d = distance covered

For circular path, d = 2πR

v=\dfrac{2\pi \times 6932\times 10^3\ m}{5740.8\ sec}

v = 7586.92 m/s

(b) Centripetal acceleration is given by :

a=\dfrac{v^2}{R}

a=\dfrac{(7586.92\ m/s)^2}{6932\times 10^3\ m}

a=8.3\ m/s^2

Hence, this is the required solution.

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A long solenoid, of radius a, is driven by an alternating current, so that the field inside is sinusoidal: B(t) B cos(ot)ż. A ci
Scrat [10]

Answer:

The current induced in the loop is \dfrac{\pi a^2 B\omega}{4R}\ \sin(\omega t).

Explanation:

Given that,

Magnetic field B(t)=B\cos(\omega t)\ z

Radius r =\dfrac{a}{2}

Resistance =R

We need to calculate the area of the loop

Using formula of area

A = \pi r^2

Put the value of r in to the formula

A =\pi\times(\dfrac{a}{2})^2

A=\dfrac{\pi a^2}{4}

We need to calculate the flux

Using formula of flux

\phi=BA

\phi=B\cos(\omega t)\dfrac{\pi a^2}{2}

We need to calculate the emf

Using formula of emf

\epsilon=-\dfrac{d\phi}{dt}

\epsilon=-\dfrac{-\pi a^2B}{4}(-\omega\sin\omega t)

\epsilon=\dfrac{\pi a^2B\omega\sin(\omega t)}{4}

We need to calculate the current

Using formula of current

I(t)=\dfrac{\epsilon}{R}

I(t)=\dfrac{\dfrac{\pi a^2B\omega\sin(\omega t)}{4}}{R}

I(t)=\dfrac{\pi a^2 B\omega}{4R}\ \sin(\omega t)

Hence, The current induced in the loop is \dfrac{\pi a^2 B\omega}{4R}\ \sin(\omega t).

4 0
3 years ago
The minimum charge on any object cannot be less than​
BigorU [14]

Answer:

1.6 x 10^{-19} Coulombs

Explanation:

In Physics, the standard unit of measurement of a charge is Coulombs and it's denoted by C. Also, the symbol for denoting a charge is Q.

In Chemistry, electrons can be defined as subatomic particles that are negatively charged and as such has a magnitude of -1.

The minimum charge on any object such as an electron cannot be less than​ 1.6 x 10^{-19} Coulombs and it's usually referred to as the fundamental unit of charge.

7 0
3 years ago
a shopping bag can provide an upward force of 65N before breaking. A shopper puts 5 kg of groceries in the bag. If the shopper t
kipiarov [429]

Answer:

Since Force is Mass * Acceleration, the equation would be:

5kg * 2m^2 = 10N

<em>(10N is less than 65N)</em>

Therefore, it would not be enough force for the bag to break.

6 0
4 years ago
The 11 th one please! Somebody help me:(
photoshop1234 [79]

Answer:

203360Pa

Explanation:

Pressure= density of liquid*height*g

=1000*10*10

=100000Pa

Total pressure= water pressure + atmospheric pressure

=1000000+103360

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5 0
3 years ago
A bullet traveling at 350 m/s hits a tree, penetrating 0.125 m into the tree before stopping. The mass of the bullet is 0.200 kg
Sloan [31]

Answer:

-4.9\cdot 10^5 m/s^2

Explanation:

The motion of the bullet is a uniformly accelerated motion, therefore we can find its acceleration by using the following suvat equation:

v^2-u^2=2as

where

v is the final velocity

u is the initial velocity

a is the acceleration

s is the distance covered

For the bullet in this problem:

u = 350 m/s is the initial velocity of the bullet

v = 0 is the final velocity (the bullet comes to a stop)

s = 0.125 m is the stopping distance of the bullet

Therefore, by solving the equation for a, we find its acceleration:

a=\frac{v^2-u^2}{2s}=\frac{0^2-350^2}{2(0.125)}=-4.9\cdot 10^5 m/s^2

And the negative sign tells that the direction of the acceleration is opposite to that of the velocity.

7 0
4 years ago
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