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Ans 1.Mass is the matter occupied in the body while weight is the force applied by the body due to gravity which is the product of mass and acceleration due to gravity.
Mass remains same in the whole universe and weight changes with change in position of the body.
The mass of the body will remain same on earth and mars while the weight will be different on both the planets because it depends upon Mass of the body and acceleration due to gravity of the corresponding planet or place.
Ans 2. Free fall - the downward movement or falling of body under the influence of gravity only is called free fall.
Acceleration due to gravity - the acceleration with which a body falls under the gravity is called acceleration due to gravity.
Escape velocity - It is the minimum velocity required by the to escape the influence of earth's gravitational field.
Centripetal force - The inward force experienced while moving on a circular path is called centripetal force. This force tends to draw the body inside the circle.
Ans 3. First law of kepler - All the planets revolve around the sun in elliptical orbit.
Second law - the area swept by the line joining the sun and the planet is equal in equal interval of time.
Third law - the square of time period of revolution of a planet around the sun in its orbit is proportional to the cube of the distance.
We know that Newtons universal law of gravitation = Gm1m2/r^2
F = Gm1m2/r2 ----- eq 1
when body moves in circular motion it experience centripetal force
F = m2 r (omega^2) ---- eq 2
equating the equations we get
m2 r (omega^2) = Gm1m2/r^2
r^3 = Gm1/omega^2
(where omega = 2pi/T
and omega^2 = 4pi^2/T^2)
r^3 = Gm1/(4pi^2/T^2)
r^3 = T^2(Gm1/4pi^2)
r^3 = T^2
Mass remains same in the whole universe and weight changes with change in position of the body.
The mass of the body will remain same on earth and mars while the weight will be different on both the planets because it depends upon Mass of the body and acceleration due to gravity of the corresponding planet or place.
Ans 2. Free fall - the downward movement or falling of body under the influence of gravity only is called free fall.
Acceleration due to gravity - the acceleration with which a body falls under the gravity is called acceleration due to gravity.
Escape velocity - It is the minimum velocity required by the to escape the influence of earth's gravitational field.
Centripetal force - The inward force experienced while moving on a circular path is called centripetal force. This force tends to draw the body inside the circle.
Ans 3. First law of kepler - All the planets revolve around the sun in elliptical orbit.
Second law - the area swept by the line joining the sun and the planet is equal in equal interval of time.
Third law - the square of time period of revolution of a planet around the sun in its orbit is proportional to the cube of the distance.
We know that Newtons universal law of gravitation = Gm1m2/r^2
F = Gm1m2/r2 ----- eq 1
when body moves in circular motion it experience centripetal force
F = m2 r (omega^2) ---- eq 2
equating the equations we get
m2 r (omega^2) = Gm1m2/r^2
r^3 = Gm1/omega^2
(where omega = 2pi/T
and omega^2 = 4pi^2/T^2)
r^3 = Gm1/(4pi^2/T^2)
r^3 = T^2(Gm1/4pi^2)
r^3 = T^2
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Explanation:
Mass is a fundamental quantity whose value remains same everywhere. Hence, the mass of an object on earth will be same as its value on Mars. Weight of an object is product of mass and
ii. gravitational acceleration, i.e., W = F = mg As the weight depends on the value of acceleration due to gravity (g) which changes from place-to-place, and is different for earth and Mars, the weight of the object on earth will be different than its value on Mars.
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