Tag: circular motion and gravitation

Quizzes (5) Questions (66)

Questions Related to circular motion and gravitation

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

The speed at which the gravitational field propagates is

  1. Equal to the speed of light in vacuum

  2. Less than the speed of light in vacuum

  3. More than the speed of light in vacuum

  4. Either less or more than the speed of light in

    vacuum
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The speed of gravitational waves in the general theory of relativity is equal to the speed of light in vacuum.

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

The unit of (V) Gravitational Potential is

  1. $\dfrac{\text{Joule}}{kg}$
  2. $\text{Joule}$
  3. $\dfrac{\text{Joule}}{s}$
  4. $\dfrac{kg}{\text{Joule}}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Gravitational potential is defined as the Gravitational energy per unit mass of the object on the planet. Unit of energy is always joule in SI units. Hence that of potential will be Joule/kg.

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

Value of gravitational constant, $'G'$ is

  1. $6.674 08 \times 10^{-11} m^3 kg^{-1} s^{-2}$
  2. $4.674 08 \times 10^{-11} m^3 kg^{-1} s^{-2}$
  3. $6.674 08 \times 10^{11} m^3 kg^{-1} s^{-2}$
  4. $6.674 08 \times 10^{-11} m^3 kg^{-2} s^{2}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The value of G in SI units is $6.67408\times {10^{-11}}$

And the unit is $ Newton.metre^2/kg^2 $
Newton is $kg.m.s^{-2} $
Hence it becomes $ m^3.kg^{-1}.s^{-2} $

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

Gravitational field is 

  1. directly proportional to square of the distance between two masses.

  2. inversely proportional to square of the distance between two masses.

  3. directly proportional to the distance between two masses.

  4. inversely proportional to the distance between two masses.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The gravitational field is the region in which the gravitational force can be experienced or its presence can be felt. The intensity of gravitational field is the force acting on a unit mass of a body. 

Gravitational force is given by $Force = \dfrac{GMm} {R^2}$, 
where $G$ is gravitational constant, $M$ is the mass of the body which is creating the gravitational force, $m$ is the mass of the body which is undergoing gravitational force and $R$ is the distance between them. You can see that this force is inversely proportional to the square of the distance between the two masses. Gravitational field is given by gravitational force / mass of the 2nd body i.e. $m$. 
$Field = \dfrac{GM}{R^2}$. Hence it is inversely proportional to square of the distance between two masses.

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

The unit of gravitational field is 

  1. $\dfrac{N}{kg}$
  2. $\dfrac{N}{s}$
  3. $\dfrac{kg}{s^2}$
  4. $\dfrac{N}{kg m^2}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The gravitational field is the region in which the gravitational force can be experienced or its presence can be felt. The intensity of gravitational force is the force acting on a unit mass of a body. The gravitational field is mathematically given by, gravitational force divided by the mass of the body. And the unit of the gravitational field is the ratio of the unit of force to that of mass, that is, $N/kg$.

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

What is gravitational field?

  1. A gravitational field is a region where any other body that has mass will experience a force of attraction.

  2. A gravitational field is a region where any other body that has mass will experience a force of repulsion.

  3. A gravitational field is a region where any other body that has mass will experience no force of attraction.

  4. A gravitational field is a region where any other body that has mass will experience no force of repulsion.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Point A is the definition of the gravitational field. 

Gravitational force is always attractive in nature and hence there is no question of repulsion.

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

Which of the following option is/are correct?

  1. If acting at a single point, the gravitational force on an extended object can be treated as its centre of gravity

  2. If the gravitational field is nonuniform across the object then it can be treated as its centre of mass.

  3. If acting at multiple point, the gravitational force on an extended object can be treated as its centre of gravity

  4. If the gravitational field is uniform across the object then it can be treated as its centre of mass.
Reveal answer Fill a bubble to check yourself
A,D Correct answer
Explanation

The gravitational force on an extended object can be treated as its center of gravity when acted on a single point. Also, it is uniform across its center of mass.

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

Determine the gravitational force of two particle of mass $3kg$ and $7 kg$ separated by a distance $2m$.

  1. $35 \times 10^{-11} N$
  2. $25 \times 10^{-11} N$
  3. $5 \times 10^{-11} N$
  4. $3.5 \times 10^{-11} N$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Gravitational force of two particle of mass $3kg$ and $7kg$ separated by a distance $2m$ is given by: 
$F=G\dfrac{Mm}{r^2} = 6.674× 10^{-11} \times \dfrac{ 3 \times 7}{2^2}=35 \times 10^{-11} N$
Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

How far from the centre of the Moon is the Earth-Moon neutral point, where the Earth and the Moon's gravitational field strengths are equal in magnitude but opposite in direction?

$ M _E= 6.0 \times 10^{24} kg \ \ \  M _M = 7.4 \times 10^{22} kg$
The radius of Moon's orbit (assumed to be circular) is: $3.8\times 10^{8} m$.

  1. $3.8 \times 10^{2} m$
  2. $38 \times 10^{6} m$
  3. $38 \times 10^{4} m$
  4. $28 \times 10^{6} m$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Strength of gravity $\cfrac { Gm }{ { r }^{ 2 } } $

Let ${ g } _{ e }$ be the value of $Gm$ of earth $=4\times { 10 }^{ 14 }\cfrac { { m }^{ 3 } }{ { s }^{ 2 } } $
      ${ g } _{ m }$ be the value of $Gm$ of moon $=5\times { 10 }^{ 12 }\cfrac { { m }^{ 3 } }{ { s }^{ 2 } } $
Let $d\rightarrow$distance between earth and moon $=380\times { 10 }^{ 6 }m$
Let equilibirum point from earth be at a distanexe :- $x$
       $\cfrac { { g } _{ e } }{ { x }^{ 2 } } =\cfrac { { g } _{ m } }{ { \left( d-x \right)  }^{ 2 } } $
      ${ g } _{ e }\left( { x }^{ 2 }-2xd+{ d }^{ 2 } \right) ={ g } _{ m }{ x }^{ 2 }\ \left( { g } _{ e }-{ g } _{ m } \right) { x }^{ 2 }-{ 2dg } _{ e }x+{ d }^{ 2 }{ g } _{ e }=0$
Solving the quadratic formula
$x=\cfrac { { 2dg } _{ e }\pm \sqrt { 4{ d }^{ 2 }{ g } _{ e }^{ 2 }-{ 4d }^{ 2 }{ g } _{ e }\left( { g } _{ e }-{ g } _{ m } \right)  }  }{ 2\left( { g } _{ e }-{ g } _{ m } \right)  } =\cfrac { { dg } _{ e }\pm d\sqrt { { g } _{ e }{ g } _{ m } }  }{ { g } _{ e }-{ g } _{ m } } \approx 342\times { 10 }^{ 6 }m$
$\therefore$ Distance from moon :-$d-x=38\times { 10 }^{ 6 }m$

Multiple choice physics gravitational fields representing a gravitational field gravitational field circular motion and gravitation

Gravitational field is directed

  1. towards the earth

  2. away from earth

  3. has no direction

  4. in a specific direction making angle with earth
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Force if gravity on an object due to Earth always act towards the Earth as it is attractive in nature. Therefore, when an object us thrown up, the force of gravity acts towards the Earth.