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
olasank [31]
3 years ago
6

An object is dropped from an altitude of one Earth radiusabove Earth's surface. If M is the mass of Earth and R is itsradius the

speed of the object just before it hits Earth isgiven by: A. √GM/R B. √GM/2R C. √2GM/R D. √GM/R2 E. √GM/2R2
Physics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

The speed of the object just before it hits Earth is  \sqrt{\dfrac{GM}{R}}

(A) is correct option.

Explanation:

Given that,

M = mass of earth

R = radius of earth

The potential energy at height above the surface of the earth

P.E=-\dfrac{GmM}{R+h}

The kinetic energy at height above the surface of the earth

K.E = 0

The total energy at height above the surface of the earth

E = K.E+P.E

E = -\dfrac{GmM}{R+h}....(I)

The total energy at the surface of the earth

E'=\dfrac{1}{2}mv^2-\dfrac{GmM}{R}....(II)

We need to calculate the speed of the object  just before it hits Earth

From equation (I) and (II)

-\dfrac{GmM}{R+h}=\dfrac{1}{2}mv^2-\dfrac{GmM}{R}

Here, h = R

-\dfrac{GmM}{2R}=\dfrac{1}{2}mv^2-\dfrac{GmM}{R}

v= \sqrt{\dfrac{GM}{R}}

Hence, The speed of the object just before it hits Earth is  \sqrt{\dfrac{GM}{R}}.

You might be interested in
A person starts at the origin and then walks 6 m to the west, and then 8 m south.
zmey [24]

please mark brainliest

Explanation:

Let the east direction to be i^ and north direction be j^.

Thus displacement of the man   S=8i^+6j^

So, magnitude of displacement  ∣S∣=62+82=100=10 m

5 0
3 years ago
If you add 1 proton to Carbon, it will no longer be Carbon, it will be ________________.
Whitepunk [10]

Nitrogen

Explanation:

Adding one proton to a carbon atom makes Nitrogen.

A quick introspection on atoms:

  • An atom is made up of three fundamental particles.
  • They are protons, neutrons and electrons.
  • The protons are positively charged and the neutrons do not carry any charges.
  • Electrons are negatively charged.

The difference between an atom and another is the number of protons in them. This is the atomic number.

The periodic table of element is a list of elements arranged based on the number of protons they have. Every element on the table has unique number of protons which makes it differ from another.

  • Atoms do not readily lose their protons because they are held by nuclear forces in the nucleus of an atom.

When an element gains a proton, it becomes another element.

    Carbon has proton number of 6

 If a proton is added to it, it becomes 7

This is the proton or atomic number of nitrogen.

Learn more:

Atomic number brainly.com/question/5425825

#learnwithBrainly

4 0
3 years ago
The nebular theory also predicts that the cloud should heat up as it collapses. what physical law explains why it heats up?
Anna [14]
The physical law that explains that is the law of conservation of energy which states that he energy of an isolated sistem remains constant
4 0
3 years ago
A train travelling at 50km/h approaches another train moving towards the first at 90km/h. If they are 35km apart (on a straight
Ede4ka [16]

it will take 36 seconds


8 0
3 years ago
Which three quantities can be used to calculate acceleration?
PtichkaEL [24]
D is the correct answer, assuming that this is the special case of classical kinematics at constant acceleration. You can use the equation V = Vo + at, where Vo is the initial velocity, V is the final velocity, and t is the time elapsed. In D, all three of these values are given, so you simply solve for a, the acceleration.
A and C are clearly incorrect, as mass and force (in terms of projectile motion) have no effect on an object's motion. B is incorrect because it is not useful to know the position or distance traveled, unless it will help you find displacement. Even then, you would not have enough information to use a kinematics equation to find a.
4 0
3 years ago
Other questions:
  • A compound machine is made up of one simple machine True or False
    5·2 answers
  • bailee bad a gross income of 2358.33 during each pay period in 2009. if she got paid monthly , how much of her oay was defucted
    5·1 answer
  • The capacitors are disconnected from the potential difference without allowing them to discharge. They are then reconnected in p
    9·1 answer
  • A friend in your class tells you that she never uses hints when doing her Mastering homework. She says that she finds the hints
    12·1 answer
  • louis Pasteur developed the germ theory of disease, which state that many diseases are caused by microorganismas. Had scientists
    9·1 answer
  • A truck hits a brick wall with a force of 100000 kg ms² the truck comes to a stop in 0.5 s what is the impulse
    12·1 answer
  • What sort of fitness component would dance be<br> categorized under
    10·1 answer
  • A pendulum has a mass of 3 kg and is lifted to a height of 0.3 m. What is the maximum speed of the pendulum
    5·1 answer
  • Your bicycle has a
    6·1 answer
  • A hammer is used to hit a nail into a block of wood. The hammer hits the nail with a speed of 8.0 m/s and then stops. The hammer
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!