1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
omeli [17]
3 years ago
8

Two spherical asteroids have the same radius R. Asteroid 1 has mass M and asteroid 2 has mass 1.97·M. The two asteroids are rele

ased from rest with distance 13.63·R between their centers. What is the speed of second asteroid just before they collide? Give answer in units of (G·M/R)1/2.
Physics
1 answer:
nekit [7.7K]3 years ago
8 0

Answer:

0.536\sqrt{\frac{GM}{R}}

Explanation:

We are given that

Mass of one  asteroid 1,m_1=M

Mass of asteroid 2,m_2=1.97 M

Initial distance between their centers,d=13.63 R

Radius of each asteroid=R

d'=R+R=2R

Initial velocity of both asteroids

u=0

We have to find the speed of second asteroid just before they collide.

According to law of conservation of momentum

(m_1+m_2)u=m_1v_1+m_2v_2

(M+1.97 M)\times 0=Mv_1+1.97Mv_2

Mv_1=-1.97 Mv_2

v_1=-1.97v_2

According to law of conservation of energy

Gm_1m_2(\frac{1}{d'}-\frac{1}{d})=\frac{1}{2}m_1v^2_1+\frac{1}{2}m_2v^2_2

GM(1.97M)(\frac{1}{2R}-\frac{1}{13.63R})=\frac{1}{2}M(-1.97v_2)^2+\frac{1}{2}(1.97M)v^2_2

1.97M^2G(\frac{13.63-2}{27.26R})=\frac{1}{2}Mv^2_2(3.8809+1.97)

1.97MG(\frac{11.63}{27.26 R})=\frac{1}{2}(5.8509)v^2_2

v^2_2=\frac{1.97GM\times11.63\times 2}{27.26R\times 5.8509}

v_2=\sqrt{\frac{1.97GM\times11.63\times 2}{27.26R\times 5.8509}}

v_2=0.536\sqrt{\frac{GM}{R}}

Hence, the speed of second asteroid =0.536\sqrt{\frac{GM}{R}}

You might be interested in
Why do you think festival dances should be introduced to the younger generations of today​
Nimfa-mama [501]

Answer:

Festival dances should be introduced to the younger generations of today because they teach them about different cultures. Festival dances are also a way to be active and have a fun time.

Explanation:

4 0
3 years ago
Read 2 more answers
Explain two ways of magnetising an object​
Nina [5.8K]

Answer:

There are two methods generally used to magnetize permanent magnets: static magnetization and pulse magnetization.

5 0
3 years ago
A graduated beaker with 375 mL of water is sitting on a scale which measures the weight of the glass and water to be 7.60 N. Whe
Allisa [31]

Answer:

Volume of water displaced = 450 - 375 = 75 ml

Vr = volume of rock = 75 ml

Wr = 9.22 - 7.60 = 1.62 N  weight of 75 ml of rock

Density of rock = 1.62 N / 75 ml = .0216 N / ml

Density of water = 1000 g / 1000 ml = 9.8 N / 1000 ml = .0098 N / ml

Density of rock / density of water = .0216 / .0098 = 2.20

8 0
3 years ago
Which of the following are transferred or shared when two atoms react chemically? *
xxTIMURxx [149]

Answer:

One of the basic principles of chemistry is the electrostatic attraction between atoms or compounds. Electrons are on the outside of an atoms and that's where the charges come from and the interaction between those charges is what happens during a chemical bond. Therefore the answer would be electrons.

4 0
3 years ago
With the water trap being used, all the possible sources of error would be eliminated.
Phoenix [80]

Answer:

True

Explanation:

7 0
3 years ago
Other questions:
  • When a ball is thrown straight up with no air resistance, the acceleration at its highest point. A) is upward B) is downward C)
    13·1 answer
  • Order the colors of the rainbow starting with the color that is bent the least to the color that is bent the most (when it passe
    6·1 answer
  • A Formula One race car with mass 760.0 kg is speeding through a course in Monaco and enters counterclockwise direction about the
    13·1 answer
  • PLEASE HELP!!!!!! the independent variable is associated mainly with? A. control and experimental groupsB. the treatment that th
    6·2 answers
  • What force pulls all objects with mass toward<br> one another?
    11·1 answer
  • What does the law of conservation of energy state? *
    5·2 answers
  • ELE Review questions
    12·1 answer
  • an object is dropped from the top of a building which is 75 meters high. what's it's velocity before it reaches ground
    8·1 answer
  • When converted to a household measurement, 9 kilograms is approximately equal to a
    15·1 answer
  • In a series circuit with three resistors connected to a power source, what would happen to the equivalent resistance and current
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!