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
kirill [66]
3 years ago
7

The radius of Mercury (from the center to just above the atmosphere) is 2440 km (2440 × 103 m), and its mass is 3 × 1023 kg. An

object is launched straight up from just above the atmosphere of Mercury.
a. What initial speed is needed so that when the object is far from Mercury its final speed is 2000 m/s?
b. What initial speed is needed so that when the object is far from Mercury its final speed is 0 m/s?
Physics
1 answer:
KonstantinChe [14]3 years ago
5 0

Answer:

(a)4676m/s

(b) 4227m/s

Explanation:

Let the mass of mercury be Mm = 3×10²³ kg and the mass of the object be M

Also let the distance from the center of mercury be R1 = 2.240×10⁶m let the distance the object is launched to be R

From the energy conservation equation

K1 + U1 = K2 + U2

K1, K2 = initial and final kinetic energies.

U1, U2 = initial and final potential energies.

1/2MV1² + (-GMm×M/R1) = 1/2MV2² + (-GMm×M/R)

Assuming that the very far R approaches infinity then the second term to the right side of the equation above approaches zero

So dividing through by M since M is common to both sides we have that

1/2V1² + (-G×Mm/R1) = 1/2V2²

Rearranging,

V1² = 2×( 1/2V2²+ GMm/R1 )

Given V2 = 2000m/s and also the constant value of G = 6.67×10‐¹¹ N•m²/kg²

Substituting,

V1² =2×( 1/2×2000² + 6.67×10-¹¹ ×3×10²³ /(2.24×10⁶))

V1² = 21866071.43

V1 = 4676m/s

(b) this is still similar to the case described above but this time V2 = 0m/s

V1² = 2×( 1/2V2²+ GMm/R1 ) = 2×(1/2×0+ GMm/R1) = 2GMm/R1

V1² = 2×6.67×10-¹¹ × 3×10²³/(2.24×10⁶)

= 17866071.43

V1 = 4227m/s

You might be interested in
If you compare an electrical circuit to a system that carries water, what would the switch represent?
ehidna [41]

Try B. The handle on the faucet. It stops the energy and lets it flow like how the switch lets the energy flow but then stops it also

8 0
3 years ago
NEED HELP PLEASEEEE!!!!!
Temka [501]

Sound is produced when something vibrates. The vibrating body causes the medium (water, air, etc.) around it to vibrate. Vibrations in air are called traveling longitudinal waves, which we can hear. Sound waves consist of areas of high and low pressure called compressions and rarefactions, respectively.


No, you cannot hear any sounds in near-empty regions of space. Sound travels through the vibration of atoms and molecules in a medium (such as air or water). In space, where there is no air, sound has no way to travel.


Sound waves need to travel through a medium such as solids, liquids and gases. The sound waves move through each of these mediums by vibrating the molecules in the matter. The molecules in solids are packed very tightly. Liquids are not packed as tightly.




a wave vibrating at right angles to the direction of its propagation.





a wave vibrating in the direction of propagation.





People can hear sounds that range from about 20 to about 17,000 hertz. The word that musicians use for frequency is pitch. The shorter the wavelength, the higher the frequency, and the higher the pitch, of the sound. In other words, short waves sound high; long waves sound low.




t occurs because the frequency of the sound waves changes as the source of sound moves closer to or farther from the listener. The Doppler effect has several real-world applications. For example, besides police radar, the Doppler effect is used by meteorologists to track storms.


the quality of a sound governed by the rate of vibrations producing it; the degree of highness or lowness of a tone.



sound wave. ... The pattern of the disturbance creates outward movement in a wave pattern, like waves of seawater on the ocean. The wave carries the sound energy through the medium, usually in all directions and less intensely as it moves farther from the source.


6 0
3 years ago
26. The ice on the front windshield of the car had formed when moisture condensed during the night. The ice melted quickly after
fredd [130]

Answer:

The answer is "Option B".

Explanation:

Please find the complete question in the attachment file.

When precipitation accumulated and during the night, the ice on the front windshield of the car also formed. Because after the car was heated up the following morning, the ice has melted easily because the thawing vent, that blasts on the front windshield, were switched on full force. Although there was no attempt to refrigerate the passenger door, the ice there dissolved at the very same price as the ice on the front window, quite significantly endangering the legitimacy of the clarification of a speed at which the snow melts.

3 0
3 years ago
What a relationship between flame color and chemical name.
Ad libitum [116K]
The flame gets the color which is determined by the properties of the atomic energy shells of the chemical element of the substance.
5 0
3 years ago
Read 2 more answers
Describe how an oscilloscope should be used to measure the frequency of the sound wave from the sonometer
ratelena [41]

Answer:

            T = reading (cm) time base (s / cm)

            f = 1 / T

Explanation:

An oscilloscope is a piece of equipment that allows you to visualize and measure a wave that reaches you, in the case of having a sonometer this transforms the sound wave into an electrical signal to be introduced through one of the voltage channels of the equipment, on the screen we will see the oscillating alternating signal, if it is fixed we can make the reading, if it is moving the time base and the trigger must be adjusted to stop it.

In the oscilloscope we can read the period of the signal, this is the time it takes for the signal to repeat itself with this value, we can calculate the frequency with the formula, for the reading of the period the distance is measured on the labeled screen and multiplied by the time base

         

            T = reading (cm) time base (s / cm)

            f = 1 / T

6 0
3 years ago
Other questions:
  • The process of generating an electric current by moving an electrical conductor through a magnetic field is called
    13·1 answer
  • Mass is constant, but weight can change with location. Explain.
    14·1 answer
  • on june 20, 1969, two american astronauts named Buss Aldrin and Neil Armstrong became the first humans to contact the surface of
    14·1 answer
  • A quantity of a gas has an absolute pressure of 400kPa and an absolute temperature of 110 degrees Kelvin. When the temperature o
    5·1 answer
  • A gas fills the right portion of a horizontal cylinder whose radius is 5.33 cm. The initial pressure of the gas is 2.29 x 105 Pa
    6·1 answer
  • You are riding in a car on the freeway when a large truck speeds by you. Why is your car pushed towards the truck?
    8·1 answer
  • The buildup of plaque on the walls of an artery may decrease its diameter from 1.1cm to 0.75 cm. If the speed of blood flow is 1
    11·1 answer
  • In order for a satellite to move in a stable circular orbit of radius 6588km at a constant speed, its centripetal acceleration m
    14·1 answer
  • A 2 kg ball of clay moving at 35 m/s strikes a 10 kg box initially at rest. What is the velocity of the box after the collision?
    9·1 answer
  • In an electrical circuit, what happens to the current flowing through the wire if the initial voltage of 18 V is doubled, and th
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!