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Drupady [299]
3 years ago
14

Kramer goes bowling and decides to employ the force of gravity to "pick up a spare." He rolls the 7.0-kg bowling ball very slowl

y so that it comes to rest a center-to-center distance of 0.10 m from the one remaining 1.5-kg bowling pin. 1) Determine the force of gravity between the ball and the pin and comment on the efficacy of the technique. Treat the ball and pin as point objects for this problem. (Express your answer to two significant figures.) nN
Physics
1 answer:
Rzqust [24]3 years ago
3 0

Answer:

70.035nN

Explanation:

M₁ = 7.0kg

m₂ = 1.5kg

r = 0.1m

G = 6.67*10⁻¹¹ Nm²/kg

Gravitational force (F) of an object is directly proportional to the product masses and inversely proportional to the square of their distance apart.

F = GM₁M₂ / r²

F = (6.67*10^-11 * 7.0 * 1.5) / (0.1)²

F = 7.0035*10^-10 / 0.01

F = 7.0035 * 10^-8 N

F = 70.035nN

The gravitational force acting on the bowling ball is 70.035nN.

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Answer:

Approximating the Milky Way as a disk and using the density in the solar neighborhood, there are about 100 billion stars in the Milky Way.

Explanation:

Since we are making an order of magnitude estimate, we will make a series of simplifying assumptions to get an answer that is roughly right.

Let's model the Milky Way galaxy as a disk.

The volume of a disk is:

V

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π

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Plugging in our numbers (and assuming that

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V

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10

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2

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Now, all we need to do is find how many stars per cubic meter (

ρ

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Let's look at the neighborhood around the Sun. We know that in a sphere with a radius of

4

×

10

16

m there is exactly one star (the Sun), after that you hit other stars. We can use that to estimate a rough density for the Milky Way.

ρ

=

n

V

Using the volume of a sphere

V

=

4

3

π

r

3

ρ

=

1

4

3

π

(

4

×

10

16

m

)

3

ρ

=

1

256

10

−

48

stars /

m

3

Going back to the density equation:

ρ

=

n

V

n

=

ρ

V

Plugging in the density of the solar neighborhood and the volume of the Milky Way:

n

=

(

1

256

10

−

48

m

−

3

)

⋅

(

3

×

10

61

m

3

)

n

=

3

256

10

13

n

=

1

×

10

11

stars (or 100 billion stars)

Is this reasonable? Other estimates say that there are are 100-400 billion stars in the Milky Way. This is exactly what we found.

4 0
3 years ago
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A firework is ignited, and explodes with a flash and a loud bang as it is blown apart. The system consists of: the firework, the
butalik [34]

The complete question is:

Study the scenario. A firework is ignited, and explodes with a flash and a loud bang as it is blown apart. The system consists of: the firework, the earth, and the air. which choice best describes how energy is transformed in the system?

A) When the firework is ignited, a chemical reaction absorbs energy from the surrounding environment. the energy is in several forms including sound and light, and mechanical energy of the fragments of the firecracker that are launched through the air. Eventually all the energy released is transformed into thermal energy.

B) When the firework is ignited, a chemical reaction releases energy in several forms, including sound, light, and the mechanical energy of the fragments being launched through the air. Eventually all the energy released is transformed into mechanical energy.

C) When the firework is ignited, a chemical reaction releases energy in several forms, including sound, light, and the mechanical energy of the fragments being launched through the air. Eventually all the energy released is transformed into thermal or mechanical energy.

D) When the firework is ignited, a chemical reaction absorbs energy from the surrounding environment. The energy is taken in in several forms including sound and light, and mechanical energy of the fragments being launched through the air. Eventually all the energy is transformed into thermal energy.

Answer:

C) When the firework is ignited, a chemical reaction releases energy in several forms, including sound, light, and the mechanical energy of the fragments being launched through the air. Eventually all the energy released is transformed into thermal or mechanical energy.

Explanation:

Energy is released from the system, not absorbed.

All the sound, light and movement of the debris is as a result of energy transformation from the chemical energy.

Eventually, most of the energy are finally wasted away as heat energy.

Some of the energy is used up by the flying particles from the fireworks.

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Answer:

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