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
Alexeev081 [22]
3 years ago
10

Which of the following changes to the earth-sun system would reduce the magnitude of the force between them to one-fourth the va

lue found in Part A?
Reduce the mass of the earth to one-fourth its normal value.
Reduce the mass of the sun to one-fourth its normal value.
Reduce the mass of the earth to one-half its normal value and the mass of the sun to one-half its normal value.
Increase the separation between the earth and the sun to four times its normal value.
Physics
1 answer:
Anna35 [415]3 years ago
4 0

Answer:

-Reduce the mass of the earth to one-fourth its normal value.

-Reduce the mass of the sun to one-fourth its normal value.

-Reduce the mass of the earth to one-half its normal value and the mass of the sun to one-half its normal value.

Explanation:

The force (F) between two massive bodies (earth-sun system) is given by the following equation:

F=\frac{g*M_{e}*M_{s}}{r^{2}}

Where "g" is the gravitational constant "Me" is Earth's mass, "Ms" is the Sun's mass and "r" is the separation between the Earth and the Sun.

1-) If we reduce the mass of the earth to one-fourth its normal value:

F^{*} =\frac{g*\frac{M_{e}}{4} *M_{s}}{r^{2}}\\F^{*} =\frac{g*{M_{e}} *M_{s}}{4r^{2}}\\F^{*} =\frac{F}{4}

2-) Reduce the mass of the sun to one-fourth its normal value.

F^{*} =\frac{g*\frac{M_{s}}{4} *M_{e}}{r^{2}}\\F^{*} =\frac{g*{M_{s}} *M_{e}}{4r^{2}}\\F^{*} =\frac{F}{4}

3-) Reduce the mass of the earth to one-half its normal value and the mass of the sun to one-half its normal value.

F^{*} =\frac{g*\frac{M_{s}}{2}*\frac{M_{e} }{2}}{r^{2}}\\F^{*} =\frac{g*{M_{s}} *M_{e}}{(2*2)r^{2}}\\F^{*} =\frac{F}{4}

4-) Increase the separation between the earth and the sun to four times its normal value.

F^{*}=\frac{g*M_{e}*M_{s}}{(4r)^{2}}\\F^{*}=\frac{g*M_{e}*M_{s}}{16r^{2}}\\F^{*}=\frac{F }{16}\\.

Therefore, changes 1, 2 and 3 would reduce the magnitude of the force between them to one-fourth of the original value.

You might be interested in
How do you identify short and long term comets
erica [24]
A second important difference between comets coming from the Kuiper Belt and from the Oort cloud is represented by their different characteristic periods.
In fact, short period comets are thought to generate in the Kuiper belt and have rather predictable orbits with short periods (up to 200 years). There are two major families of short period comets: the Jupiter family with periods of less than 20 years and the Halley family with periods form 20 to 200 years. That's short
8 0
3 years ago
How much Tim in minutes will it take a car driving at 90km/hr to travel 27 kilometers
astraxan [27]

Answer:

18min

Explanation:

v=d/t

t=d/v= 27/90 =0.3hrs =18min

6 0
3 years ago
Solar evaporation ponds are shallow so that the sun can heat them up, causing the water to evaporate, which increases the salt c
ehidna [41]

Answer:

B. stearothermophilus and S. ruber

Explanation:

B. stearothermophilus and S. ruber

In solar evaporation ponds the temperature is higher and the salt concentration is also higher because of the water evaporated so sunder such extreme conditions this hybrid bacteria is capable of surviving. B. stearothermophilus is thermophilus bacteria which grows at high temperature and S. ruber is halophilic bacteria which grows in saline environment. So, these two bacteria best suited for the above hybrid condition.

6 0
3 years ago
Brayden and Riku now use their skills to work a problem. Find the equivalent resistance, the current supplied by the battery and
Liono4ka [1.6K]

a) 5 \Omega, 1.6 A

b) 6 \Omega, 1.33 A

Explanation:

a)

In this situation, we have two resistors connected in series.

The equivalent resistance of resistors in series is equal to the sum of the individual resistances, so in this circuit:

R=R_1+R_2

where

R_1=4\Omega

R_2=1 \Omega

Therefore, the equivalent resistance is

R=4+1=5 \Omega

Now we can use Ohm's Law to find the current flowing through the circuit:

I=\frac{V}{R}

where

V = 8 V is the voltage supplied by the battery

R=5\Omega is the equivalent resistance of the circuit

Substituting,

I=\frac{8}{5}=1.6 A

The two resistors are connected in series, therefore the current flowing through each resistor is the same, 1.6 A.

b)

In this part, a third resistor is added in series to the circuit; so the new equivalent resistance of the circuit is

R=R_1+R_2+R_3

where:

R_1=4\Omega\\R_2=1\Omega\\R_3=1\Omega

Substituting, we find the equivalent resistance:

R=4+1+1=6 \Omega

Now we can find the current through the circuit by using again Ohm's Law:

I=\frac{V}{R}

where

V = 8 V is the voltage supplied by the battery

R=6\Omega is the equivalent resistance

Substituting,

I=\frac{8}{6}=1.33 A

And the three resistors are connected in series, therefore the current flowing through each resistor is the same, 1.33 A.

3 0
3 years ago
Bob rides his bike with a constant speed of 10 miles per hour. How long will he take to travel a distance of 15 miles?
ICE Princess25 [194]

{\underline{\pink{\textsf{\textbf{ Answer : }}}}}

➡ 150hrs.

{\underline{\pink{\textsf{\textbf{Explanation : }}}}}

➡ Time = distance × speed

➡ Time = 15*10

➡ Time = 150hrs ans.

7 0
2 years ago
Other questions:
  • What is the relationship between the slope of the position graph of an object and its velocity?
    6·1 answer
  • The eagle drops the trout a height of 6.1 m the fish travels 7.9 m horizontaly before hitting the water what is the velocity of
    6·1 answer
  • A lightning bolt occurs when billions of protons are transferred at the same time. ____________________
    13·1 answer
  • SI units are useful because they are all related by multiples of ____. a. two c. 10 b. five d. 50
    11·1 answer
  • Vilket är det modernaste förvarings materialet?
    8·1 answer
  • a water wav e has frequency of 2hz and there are 3 meters between each crest on the wave. how fast is the wave moving
    12·1 answer
  • Does anyone knows the answer??​
    8·1 answer
  • Please help I’ll give 15 points
    9·1 answer
  • The following equation shows the position of a particle in time t, x=at2i + btj where t is in second and x is in meter. A=2m/s2,
    14·1 answer
  • Mass is the amount of matter in an object what describes the amount of space the object takes up?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!