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Gravitation Test - 22

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Gravitation Test - 22
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  • Question 1
    1 / -0
    A ball is thrown upward with a velocity of 100m/s it will reach the ground after :-
    Solution
    Ball thrown vertically will suffer retardation of 'g'.
    time taken by gravity to reduce balls speed to zero.
    $$0=100+(-10)t\\ t=10\sec.$$
    Ball will be at its peak at $$t=10\sec.$$.It will take same amount of time to comeback to ground total time $$T=20 sec.$$
  • Question 2
    1 / -0
    If the weight of a body on the earth is $$12\ N$$, its weight on the moon will be(acceleration due to gravity on the moon is $$1.66\ ms^{-2}$$)
    Solution
    Weight of any object is the product of mass and gravitational force.
    On Earth
    $$12 = m \times 9.8\ ms^{-2}$$ (Assuming that $$g = 9.8\ ms^{-2}$$ on earth)
    $$m = 1.22\ kg$$
    On Moon
    Weight $$= 1.22\ kg \times 1.66\ ms^{-2}$$ (Assuming $$g = 1.66\ ms^{-2}$$)
    Weight $$= 2\ N$$
  • Question 3
    1 / -0
    Statement 1 : Acceleration due to gravity at a place on earth remains constant for all objects
    Statement 2 : Acceleration due to gravity doesn't depend on the mass of the object, but only on mass of earth.
    Solution
    Acceleration due to gravity is given by $$g=\dfrac{GM}{R^2}$$.      Where $$M$$: Mass of earth,  $$R$$: Radius of eath.
    Thus, The value of $$g$$ does not depend on the mass of the object on which it is acting.

  • Question 4
    1 / -0
    According to the chart, on which planet would a ball fall the fastest ?

    Solution
    Answer is A.

    The ball will reach the ground fastest is in the planet Jupiter as the acceleration due to gravity is the highest among all the planets.
    The speed of the falling body is dependent on the gravitational force and the air resistance present along with it.
  • Question 5
    1 / -0
    Thrust is defined as :
    Solution
    The force acting on an object perpendicular to the surface is called thrust. The thrust on unit area is called pressure.
    $$Pressure= \dfrac{Thrust}{Area}$$
    $$\Rightarrow Thrust = Pressure\times Area$$

    So option (D) is correct
  • Question 6
    1 / -0
    The total force exerted by a body normal to the surface is called:
    Solution
    Thrust is defined as the force exerted by a body perpendicular to a surface.
  • Question 7
    1 / -0
    The universal law of gravitation was postulated by:
    Solution
    Answer is B.

    Newton formulated the Universal law of gravitation, which states that "Every particle in the universe attracts every other particle in the universe with a force that is proportional to the product of the masses and inversely proportional to the square of the distance between the particles".
  • Question 8
    1 / -0
    Which among the following is not the property of weight?
    Solution
    Answer is D.

    The unit of measurement for weight is that of force, which in the International System of Units (SI) is the newton. For example, an object with a mass of one kilogram has a weight of about 9.8 newtons on the surface of the Earth.
    Weight is the force of gravity acting on a body and is measured by a spring balance and is dependent upon acceleration due to gravity as $$W=mg$$.
    Hence, option D is wrong.
  • Question 9
    1 / -0
    Gravitational force acts 
    Solution
    The force of gravity is the force with which the earth, moon, or other massively large object attracts another object towards itself. Gravitational force exists between all the bodies having mass in the universe.
  • Question 10
    1 / -0
    The value of g on moon in 1/6 th of the value of g on earth. A man can jump 1.5 m high on the earth. He can jump on the moon up to a height of:
    Solution
    Answer is A.

    Because the moon has less mass than Earth, the force due to gravity at the lunar surface is only about 1/6 of that on Earth.
    If a man can jump $$1.5$$ m high on the earth, he jump to a height of $$1.5 \times 6 = 9$$ m.
    Hence, he can jump on the moon up to a height of 9 m in the moon.
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