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3 years ago

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INTRO PHYSICS: Two planets are 3 x 10^7 km apart. Planet A has a mass of 8 x 10^24 kg. Planet B has a mass of 1 x 10^25 kg. What

is the gravitational force that Planet A exerts on Planet B?

1 answer:

lord [1]3 years ago

3 0

Hope this helps you.

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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon

Nookie1986 [14]

Answer:

<h2>0.245cm/min</h2>

Explanation:

The volume of the spherical balloon is expressed as V = 4/3πr³ where r is the radius of the spherical balloon. If the spherical balloon is inflated with gas at the rate of 500 cubic centimetres per minute then dV/dt = 500cm³.

Using chain rule to express dV/dt;

dV/dt = dV/dr*dr/dt

dr/dt is the rate at which the radius of the gallon is increasing.

From the formula, dV/dr = 3(4/3πr^3-1))

dV/dr = 4πr²

dV/dt = 4πr² *dr/dt

500 = 4πr² *dr/dt

If radius r = 40;

500 = 4π(40)² *dr/dt

500 = 6400π*dr/dt

dr/dt = 500/6400π

dr/dt = 5/64π

dr/dt = 0.245cm/min

Hence, the radius of the balloon is increasing at the rate of 0.245cm/min

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3 years ago

When one bumper car is still and the other one hits it (both cars have the same mass) what happens?

statuscvo [17]

the first bump car will move

Explanation:

this is because as long as the other bumper car is coming with force, it mass changes and then , it is able to push the other one

5 0

2 years ago

A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are

RSB [31]

Answer: 6.125 ft

Explanation:

If this dish has the form of a concave upward parabola and its vertex $p$ is at the origin, its corresponding equation is:

$x^{2}=4py$

Where:

$x$ is the radius, which can be found by dividing the diameter $d=14 ft$ by half. Hence $x=\frac{d}{2}=\frac{14 ft}{2}=7 ft$

$y=2 ft$ is the depth

$p$ is the vertex of the parabola, where its base is

Finding $p$ :

$p=\frac{x^{2}}{4y}$

$p=\frac{(7 ft)^{2}}{4(2 ft)}$

Finally:

$p=6.125 ft$ This is where the the receiver should be placed

3 0

3 years ago

A scientist heats a flexible container full of neon gas. What will most likely happen to the container as the gas absorbs heat?

Volgvan

It will most likely get hotter and hotter and eventually exsplod from all the presure.

3 0

3 years ago

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At Alpha Centauri's surface, the gravitational force between Alpha Centauri and a 2 kg mass of hot gas has a magnitude of 618.2

sergeinik [125]

Answer:

6.86 * 10^8 m

Explanation:

Parameters given:

Mass of hot gas, m = 2 kg

Gravitational Force, F = 618.2 N

Mass of Alpha Centauri, M = 2.178 * 10^30 kg

The gravitational force between two masses (the hot gas and Alpha Centauri) , m and M, at a distance, r, given as:

F = (G*M*m) / r²

Where G = gravitational constant

Therefore,

618.2 = (6.67 * 10^(-11) * 2.178 * 10^30 * 2) / r²

=> r² = (6.67 * 10^(-11) * 2.178 * 10^30 * 2) / 618.2

r² = 4.699 * 10^17 m²

=> r = 6.86 * 10^8 m

We are told that the hot gas is on the surface of Alpha Centauri, hence, the distance between both their centers is the radius of Alpha Centauri.

The mean radius of Alpha Centauri is 6.86 * 10^8 m.

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3 years ago

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