हिंदी

Answer the following question. State Newton’s law of gravitation and express it in vector form.

Advertisements
Advertisements

प्रश्न

Answer the following question.

State Newton’s law of gravitation and express it in vector form.

टिप्पणी लिखिए
Advertisements

उत्तर

  1. Statement:
    Every particle of matter attracts every other particle of matter with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
  2. In vector form, it can be expressed as,
    `vec"F"_21 = "G" ("m"_1"m"_2)/"r"^2(- hat"r"_21)`
    where, `hat"r"_21` is the unit vector from m1 to m2. The force `vec"F"_21` is directed from m2 to m1.
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Gravitation - Exercises [पृष्ठ ९७]

APPEARS IN

बालभारती Physics [English] Standard 11 Maharashtra State Board
अध्याय 5 Gravitation
Exercises | Q 2. (xii) | पृष्ठ ९७

संबंधित प्रश्न

What happens to the force between two objects, if the distance between the objects is doubled and tripled?


What happens to the force between two objects, if the masses of both objects are doubled?


Which of the Kepler’s laws of planetary motion led Newton to establish the inverse-square rule for gravitational force between two bodies ?


State the universal law of gravitation. Name the scientist who gave this law.


A person sitting in a chair in a satellite feels weightless because


A tunnel is dug along a diameter of the earth. Find the force on a particle of mass m placed in the tunnel at a distance x from the centre.


A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in the following figure. The point A is the centre of the plane section of the first part and B is the centre of the plane section of the second part. Show that the gravitational field at A due to the first part is equal in magnitude to the gravitational field at B due to the second part.


A particle of mass 100 g is kept on the surface of a uniform sphere of mass 10 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle away from the sphere.


The gravitational field in a region is given by \[E = \left( 2 \overrightarrow{i} + 3 \overrightarrow{j} \right) N {kg}^{- 1}\] . Show that no work is done by the gravitational field when a particle is moved on the line 3y + 2x = 5.

[Hint : If a line y = mx + c makes angle θ with the X-axis, m = tan θ.]


Explain the following:

People often shake the branches of a tree for getting down its fruits.


State whether the gravitational force between two masses is attractive or repulsive ?  


A ball is thrown vertically upwards. It goes to a height 20 m and then returns to the ground. Taking acceleration due to gravity g to be 10 ms-2 , find : 
the total time of journey of the ball .


How will the force of gravitation between two objects change if the distance between them is:
Almost zero


A ball is thrown up with a speed of 4.9 ms-1.
Calculate the maximum height it would gain before it begins to fall.


A force can produce ________, In an object at rest. It can __________ an object and change its __________ of motion.


You can change the direction in which an object is moving by___________.


Two equal and opposite forces acting at the same point on a stationary body. Will the body move? Give reason to explain your answer.


State Newton's law of gravitation. What is the difference between:
Gravity and gravitation


State Newton's law of gravitation. What is the difference between:
g and G?


The ______ force is much weaker than other forces in nature.


Mahendra and Virat are sitting at a distance of 1m from each other. Their masses are 75 kg and 80 kg respectively. What is the gravitational force between them? (G = 6.67 × 10−11 Nm2/kg2)


State the universal law of gravitation and derive its mathematical expression.


Law of gravitation gives the gravitational force between


As observed from earth, the sun appears to move in an approximate circular orbit. For the motion of another planet like mercury as observed from earth, this would ______.


Choose the wrong option.


How is the gravitational force between two point masses affected when they are dipped in water keeping the separation between them the same?


Six point masses of mass m each are at the vertices of a regular hexagon of side l. Calculate the force on any of the masses.


Give scientific reasons for the following:

Newton's gravitational law is the universal law of gravitation.


Answer the following questions in reference to the figure below:

  1. Which relation is shown in the figure?
  2. What will happen if the mass of one of the objects is doubled?

Ocean tides on Earth are mainly caused by ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×