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]
2 years ago
14

Your starship, the Aimless Wanderer,lands on the mysterious planet Mongo. As chief scientist-engineer,you make the following mea

surements: a 2.50-kg stone thrown upwardfrom the ground at 15.0 {\rm m/s} returns to the ground in 9.00 {\rm s}; the circumference of Mongo at the equator is1.00×105 {\rm km} ; and there is no appreciable atmosphere onMongo.
part A
The starship commander, Captain Confusion,asks for the following information: what is the mass ofMongo?
m =
{\rm kg}
Physics
1 answer:
melisa1 [442]2 years ago
8 0

Answer:

m = 1.26*10²⁵ kg.

Explanation:

Assuming that the mass of the stone is much smaller than the mass of the planet, we can get the mass, applying the Universal Law of  Gravitation to both masses, as follows:

Fg = G* ms* mp / rp²

Now, if we apply Newton's 2nd Law to the mass of the stone, we can get the gravitational acceleration, as follows:

Fg = ms*a = ms*g ⇒ g = G*mp / rp²

First of all, we need to get the value of g.

Assuming that this acceleration is constant, we can appy the kinematic equations to this situation.

We know that the stone is thrown upward with an initial velocity vo = 15 m/s.

At the highest point in the trajectory, just before of changing direction, the stone comes momentarily to a stop.

At this point, applying the definition of acceleration, we can write:

vf = vo -g*t ⇒ 0 = vo -gt ⇒ g = vo/t (1)

We have the total time since the stone was thrown upwards, not the one used for the upward trajectory.

It can be showed, using the expression for the displacement (which is the same in both directions) that the time used for going up, it's the same used to go down, so the time that we need to put in (1). is just the half of the total time.

So, replacing in (1) we get the value of g, as follows:

g = 15 m/s / 4.5 s = 3.33 m/s²

Now, we can replace this value in the equation that gives us g based in the Universal Law of Gravitation, as follows:

g=G*mp / rp² (2)

Before solving for mp, however, we need to get the value of the radius of the planet.

Assuming that it's a perfect sphere, we can get this value from the value of the circumference at the planet's equator:

rp = 2*π*rp / 2*π ⇒ rp = 1.0*10⁵ km / 2*π = 15,915 km.

With this value for  rp, we can solve (2) for mp, as follows:

mp= g*rp² / G = 3.33 m/s² * (15,915 km)² / 6,67*10⁻¹¹ N.m²/kg²

mp = 1.26*10²⁵ kg.

You might be interested in
Help!!! Line B touches the circle at a single point. Line A extends through the center of the circle.
Ulleksa [173]

Answer:

If I understand correctly. Line B is parallel to the circle. Also, the angle is less than 90.

  1. The size of the circle determines.
  2. The diameter should not be fixed either.
3 0
3 years ago
Water at the top of a slope has potential energy. true or false
ASHA 777 [7]
<span>The statement is TRUE. Water does have potential energy at the top of a slope. The reason why is that potential energy is energy possessed by a body based on its position relative to a zero point. In this case, water at the top of the slope is at an elevation above ground (zero point). The energy is not kinetic (moving) energy since the water is not moving.</span>
8 0
3 years ago
Read 2 more answers
Mrs. Newman’s class decides to perform an experiment during a class connect session to determine how long it takes different obj
Minchanka [31]

D, all notebooks would hit the floor at the same time. The time it takes to hit the floor is independent of their weight, but rather dependent on the acceleration of gravity. Since gravity is constant, they will all hit the floor at the same time.

4 0
3 years ago
Read 2 more answers
Where is visible light located on the electromagnetic spectrum and why?
Marysya12 [62]
Radio waves, gamma-rays, visible light, and all the other parts of the electromagnetic spectrum are electromagnetic ... The different types of radiation are defined by the the amount of energy found in the photons.
5 0
3 years ago
An Indy car is pushed down on the track by the Bernoulli effect. Where does the air flowing around the moving car travel the fas
GalinKa [24]
D
Reason: cause im built different way
6 0
2 years ago
Other questions:
  • The part of the mantle called the ___ is made out of soft rock that bends like plastic
    12·1 answer
  • Find the net force and acceleration. 15 points. Will give brainliest!
    8·1 answer
  • WORTH 47 POINTS!!! It's EASY too!
    9·1 answer
  • &gt;<br><br> Which activity will improve your muscle strength
    11·1 answer
  • .An airplane accelerates down a runway at
    14·1 answer
  • Explain what bias means when it comes to a scientific experiment.
    6·1 answer
  • Why is the overall charge of the atom neutral or zero?
    15·1 answer
  • Trong chân không khi hai điện tích cách nhau lần lượt là d và d+10cm thì lực tương tác điện giữa chúng có độ lớn tương ứng là 2.
    10·1 answer
  • What is the magnitude of the electric field at the dot in the figure? (figure 1)
    11·1 answer
  • Out of all the mass and energy in the universe, ordinary matter (the stuff that makes up stars and gas, and all the things we in
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!