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
Brrunno [24]
3 years ago
14

A large rock of mass me materializes stationary at the orbit of Mercury and falls into the sun. Itf the Sun has a mass ms and ra

dius rs and Mercury has an orbit of radius R, determine the speed which the rock hits the surface of the sun.
Physics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

The answer is v = \sqrt{2G\frac{M_s}{R^2}(R-r_s)}.

Explanation:

From the law of gravity,

F = G \frac{Mm}{r^2}

considering F as a conservative force, F = - \nabla U,

the general expression for gravitational potential energy is

U = -G \frac{Mm}{r},

where G is the gravitational constant, M and m are the mass of the attracting bodies, and r is the distance between their centers. The negative sign is because the force approaches zero for large distances, and we choose the zero of gravitational potential energy at an infinite distance away.

However, as the mass of the Sun is much greater than the mass of the rock, the gravitational acceleration is defined as

g = -G \frac{M}{r^2},

(the negative sign indicates that the force is an attractive force), and the potential energy between the rock and the Sun is

U = g M_e R,

which is actually the total energy of the system, because the rock materializes stationary at this point (there is no radial kinetic energy).

When the rock hits the surface of the Sun, almost all potential energy is converted to kinetic energy, but not all because the Sun is not a puntual mass. So the potential energy converted to kinetic energy is

U_p = g M_e(R- r_s),

then, the kinetik energy when the rock hits the surface is

U_k =\frac{1}{2}M_e v^2 = g M_e(R- r_s),

so

v = \sqrt{2g(R-r_s)}

where g is the gravitational acceleration generated by the Sun at R,

g = G \frac{M_s}{R^2}.

You might be interested in
What is a good example of netwon 3rd law​
satela [25.4K]

A fish pushes water backwards in order to move forward is a good example of Newton's 3rd Law.

8 0
3 years ago
A carbon resistor is to be used as a thermometer. On a winter day when the temperature is 4.00°C, the resistance of the carbon r
dusya [7]

Answer:

28 degree C

Explanation:

We are given that

T_1=4.00^{\circ}

R_1=217.7 \Ohm

R_2=215.1\Ohm

\alpha=-5.00\times 10^{-4}C^{-1}

We have to find the temperature on a spring day when resistance is 215.1 ohm.

We know that

\alpha(T_2-T_1)=\frac{R_2}{R_2}-1

Using the formula

-5.00\times 10^{-4}(T_2-4)=\frac{215.1}{217.7}-1

-5\times 10^{-4}(T_2-4)=0.988-1=-0.012

T_2-4=\frac{0.012}{5\times 10^{-4}}=24

T_2=24+4=28^{\circ}C

Hence, the temperature  on a spring day 28 degree C.

7 0
3 years ago
What is TRUE about cancer cells?
Artist 52 [7]

Answer:

                                                               

Explanation:

4 0
3 years ago
Read 2 more answers
For a constant voltage, how is the resistance related to the current?
natulia [17]

Answer:

A

Explanation:

R=V/I

IF you double the resistance, it's become:

2R=(1/2)I

8 0
3 years ago
Use the drop-down menus to complete each sentence.
qaws [65]

Answer:b

Explanation:

6 0
3 years ago
Other questions:
  • A rock that has deformed ____ under stress keeps its new shape when the stress is released.
    13·1 answer
  • Design at least two independent experiments to determine the wavelength of a microwave source. You have a microwave source, micr
    14·1 answer
  • HELPPPPPURGENT PLEASE NB 35
    15·1 answer
  • Please help!!! A river has a constant current of 3 km per hour. If a motorboat, capable of maintaining a constant speed of 20km
    9·1 answer
  • A 65.0 kg ice skater standing on frictionless ice throws a 0.15 kg snowball horizontally at a speed of 32.0 m/s. What is the vel
    11·1 answer
  • Even in the most advanced circuits, we cannot oscillate electrons back and forth at that rate through wires. But we can oscillat
    9·1 answer
  • Atoms of which elements form bonds without satisfying the octet rule?
    15·2 answers
  • A transformer is designed to provide 6 V from a 150 V supply. If the primary coil has 1000 turns, how many turns does the second
    9·1 answer
  • Heat moves from hot to cold either through air or liquid <br>​
    15·1 answer
  • Write short letters.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!