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miv72 [106K]
2 years ago
10

Suppose the average mass of each of 20,000 asteroids in the solar system is 1017 kg. Compare the total mass of these asteroids t

o the mass of Earth. Assuming a spherical shape and a density of 3000 kg/m3, estimate the diameter of an asteroid having this average mass.
Physics
1 answer:
blondinia [14]2 years ago
6 0

Answer:

The mass of the asteroids is 0.000334896182184 times the mass of the Earth.

39929.4542466 m

Explanation:

Total mass of the asteroids

m_a20000\times 10^{17}=2\times 10^{21}\ kg

m_e = Mass of Earth = 5.972\times 10^{24}\ kg

The ratio is

\dfrac{m_a}{m_e}=\dfrac{2\times 10^{21}}{5.972\times 10^{24}}\\\Rightarrow \dfrac{m_a}{m_e}=0.000334896182184

The mass of the asteroids is 0.000334896182184 times the mass of the Earth.

Volume is given by

V=\dfrac{m}{\rho}\\\Rightarrow \dfrac{4\pi}{3\times 8} d^3=\dfrac{m}{\rho}\\\Rightarrow d^3=\dfrac{3\times 8}{4\pi}\dfrac{m}{\rho}\\\Rightarrow d=(\dfrac{3\times 8}{4\pi}\dfrac{m}{\rho})^{\dfrac{1}{3}}\\\Rightarrow d=(\dfrac{3\times 8}{4\pi}\dfrac{10^{17}}{3000})^{\dfrac{1}{3}}\\\Rightarrow d=39929.4542466\ m

The diameter is 39929.4542466 m

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A diagram labeled Before Collision shows two train cars moving toward each other. The car on the left is labeled m Subscript 1 B
OLEGan [10]

(a) The total momentum of the system before the train cars collide is 1,600 kgm/s.

(b) The total momentum of the system be after the train cars collide is 1,600 kgm/s.

<h3>What is the total momentum of the car system before the collision?</h3>

The total momentum of the car system before the collision is determined by applying the formula for linear momentum.

Pi = m₁u₁ + m₂u₂

where;

  • m₁ is the mass of the car on the right
  • m₂ is the mass of the car on the left
  • u₁ is the initial velocity of the right
  • u₂ is the initial velocity of the car on the left

Let the rightward direction = positive

Let the leftward direction = negative

Pi = (600 kg x 4 m/s)  +  (400 kg) x (-2 m/s)

Pi = 2,400 kgm/s  -  800 kgm/s

Pi = 1,600 kgm/s

Based on the law of conservation of linear momentum, the sum of the initial momentum of an isolated system is <u>equal</u> to the sum of the final momentum of the system

Pf = Pi = 1,600 kgm/s.

Learn more about conservation of linear momentum here: brainly.com/question/7538238

#SPJ1

3 0
10 months ago
A juggler throws a bowling pin straight up in the air. After the pin leaves his hand and while it is in the air, which statement
WINSTONCH [101]

Answer:

The velocity of the pin is opposite its acceleration on the way up.

(d) option is correct.

Explanation:

when the juggler throws a bowling pin straight in the air, the acceleration working on the pin is in the downward direction due to the gravitational force of the earth.

According to Newton's Universal Law of Gravitation

''The gravitational force is a force that attracts any objects with mass''

8 0
3 years ago
A wooden block with mass 1.60 kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 30.0° (p
andreyandreev [35.5K]

Answer:

The amount of potential energy that was initially stored in the spring is 88.8 J.

Explanation:

Given that,

Mass of block = 1.60 kg

Angle = 30.0°

Distance = 6.55 m

Speed = 7.50 m/s

Coefficient of kinetic friction = 0.50

We need to calculate the amount of potential energy

Using formula of conservation of energy between point A and B

U_{A}+k_{A}+w_{A}=U_{B}+k_{B}

U_{A}+0-fd=mgy+\dfrac{1}{2}mv^2

U_{A}=\mu mg\cos\theta\times d+mg h\sin\theta+\dfrac{1}{2}mv^2

Put the value into the formula

U_{A}=0.50\times1.60\times9.8\cos30\times6.55+1.60\times9.8\times6.55\sin30+\dfrac{1}{2}\times1.60\times(7.50)^2

U_{A}=88.8\ J

Hence, The amount of potential energy that was initially stored in the spring is 88.8 J.

7 0
2 years ago
1. Identify this mystery element: I am very reactive, I desperately want to get rid of my electron. When I make a compound with
galina1969 [7]
1.) NaCl (Sodium Chlorine)
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3 years ago
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An object that covers more distance in the same amount of time has a higher speed.
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Answer:

true

Explanation:

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2 years ago
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