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Gravitation Test - 20

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Gravitation Test - 20
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  • Question 1
    1 / -0
    Calculate the weight of a body of mass $$10  kg$$.
    Solution
    $$ F= mg =$$ weight  of  the  body
    $$ \Rightarrow Weight = 10 \times 9.8 = 98 N$$
    Now, weight in $$kgf = W/g = 98/9.8 = 10 kgf$$
  • Question 2
    1 / -0
    Which of the following is/are true about the value of g
    Solution
    At a given place, the value of acceleration due to gravity is constant but it varies from one place to another place on the earth surface. It is due to this fact that earth is not a perfect sphere. It is flattened at the poles and bulges out at the equator.

    At equator effect of centrifugal force is maximum so g is minimum.
    At poles effect  of centrifugal force is minimum so g is maximum.
    And the average value of g is $$9.8m/s^2$$  
  • Question 3
    1 / -0
    What will be the weight of a body of mass $$m$$ kg at the centre of the earth?
    Solution
    We know that $$Weight = mass \times g $$
    Now, $$g=0$$ at the centre of the earth.
    So, weight of the body at the centre of the earth $$=m \times 0=0\ N$$
  • Question 4
    1 / -0
    Write the approximate weight of a body of mass $$5  kg$$ ?
    Solution
    $$ F= mg =$$ Weight of body
    here, we consider $$g = 10 m/s^{2}$$
    So, weight $$=5 \times 10 = 50\ N$$
  • Question 5
    1 / -0
    What is the S.I unit of upthrust ?
    Solution
    Upthrust is nothing but buoyant force. When a rigid object is submerged in a fluid (completely or partially), there exits an upward force on the object that is equal to the weight of the fluid that is displaced by the object.
    And therefore, Its unit is equal to that of force(since buoyant force is a kind of force), which is $$N$$. 
  • Question 6
    1 / -0
    With increase in surface area,
    Solution
    If there are two wooden plank with different surface area and same thrust F is applied on them in vertically downward direction. Then, pressure will be less on surface for the plank having more surface area.
  • Question 7
    1 / -0
    Relative density of silver is $$10.8$$. Its density in $$g/cm^3$$ is
    Solution
    $$ R.D = \dfrac{\text{Density of object}}{\text{Density of water}}$$
    Here, Density of water $$= 1g/cm^{3}$$
    So, $$R.D = \dfrac{\text{Density of silver}}{\text{Density of water}}$$
    $$\text{Density of silver} = R.D \times \text{Density  of   water }= 10.8$$ x$$ 1 = 10.8 g/cm^{3}$$
  • Question 8
    1 / -0
    State the universal law of gravitation.
    Solution
    $$\bullet\textbf{Explanation}$$
    Newton in 1687 put forward a law which stated that any particle of matter in the universe attracts any other particle with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between the particles.
    $$\bullet\textbf{Mathematical Explanation}$$
    If  $$F$$  is the force of attraction between two particle, then

         $$F \propto m_1m_2$$

         $$F \propto \dfrac 1{r^2}$$

    => $$F \propto \dfrac{m_1m_2}{r^2}$$

         $$F = \dfrac{Gm_1m_2}{r^2}$$

    where,  $$m_1$$  and  $$m_2$$  are the masses
                  $$r$$ is the distance between them and
                  $$G$$ is the gravitational constant

    The value of  $$G = 6.673 \times 10^{-11}\;N\;m^2/kg^2$$

    Thus, option A is correct.
  • Question 9
    1 / -0
    Which among the following is not a property of mass?
    Solution
    1) Mass:
    (a) It is the amount of matter contained in a body.
    (b)It is measured by a physical balance.
    (c) It is constant at all the places in the universe.
    (d) Its S.I unit is kilogram.

    (2) Weight:
    (a) It is the force of gravity acting on a body.
    (b) It is measured by a spring balance.
    (c)It is variable and changes with the change in acceleration due to gravity.
    (d) Its S.I unit is Newton.
  • Question 10
    1 / -0
    When an object moves with a constant acceleration, under the influence of force of gravitation of the earth only, the object is said to have:
    Solution
    When an object moves with a constant acceleration under the only effect of acceleration due to gravity at that place, the motion is called free fall.
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