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Concept of Gravitation and Floatation

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Among the four bodies P, Q, R and S having masses 2 kg, 8 kg, 5 kg, 1 kg respectively, which one of these is pulled by the earth with the greatest force?

  1. P

  2. Q

  3. R

  4. S

  5. All bodies are pulled by the same force


Correct Option: B
Explanation:

Here m = 8kg, g = 9.8so, F = 8 x 9.8 = 78.4 N

The force exerted by a huge body like Earth, Moon, Sun, etc. on a smaller object near its surface is called

  1. gravity

  2. magnetic force

  3. electrostatic force

  4. mechanical force

  5. electromotive force


Correct Option: A
Explanation:

According to Newton all objects in the universe attract each other. This force of attraction between the objects is called gravitational force or gravity.

Choose the correct option

  1. When a body falls freely, its initial velocity is zero.

  2. When a body is thrown vertically upwards, its final velocity is zero.

  3. When a body is thrown vertically upwards, its final velocity is equal to initial velocity.

  4. Both (1) and (2).

  5. 1, 2 and 3 are correct.


Correct Option: D
Explanation:

Both options, 1 and 2 are correct. So, the correct answer of this question is option 3

What is the correct relation between pressure, thrust and area?

  1. Pressure = thrust × area

  2. Pressure = thrust/ area

  3. Pressure = thrust × (area)2

  4. Pressure = thrust/ (area)2

  5. Pressure = (area)2/ thrust


Correct Option: B
Explanation:

The thrust on unit area is called pressure. So,  option B is correct.

The mass of the earth is approximately

  1. 6 × 1022 kg

  2. 6 × 1023 kg

  3. 6 × 1024 kg

  4. 6 × 1020 kg

  5. 6 × 1021 kg


Correct Option: C
Explanation:

As we know that, F = GMm/ R2.
Where G = Gravitational constant, M = mass of the earth, m = mass of the another body at the surface of the earth, R = Radius of the earthor, F= ma ( here a = g) ma = GMm/ R2 Or M = g, R2/ GOr M = 9.8 (6.4×106)2 / 6.67 × 10 – 11 = 6× 1024 kg. It is the correct option

Choose the correct option:

  1. G is the acceleration due to gravity and g is the Universal Gravitation Constant

  2. G is the Universal Gravitation Constant and g is the acceleration due to gravity

  3. Both G and g are the acceleration due to gravity

  4. Both G and g are the Universal Gravitation Constant

  5. Both 1 and 2 are correct


Correct Option: B
Explanation:

G is numerically equal to the force of attraction between two unit mass, placed at a unit distance. It is denoted by G, the acceleration produced in the motion of body under the effect of gravity is called acceleration due to gravity. It is denoted by g, so it is the correct option.

A stone is dropped from a cliff. What will be its speed after falling 100 m?

  1. 9.8 m/s

  2. 44.2 m/s

  3. 19.6 m/s

  4. 98 m/s

  5. Zero


Correct Option: B
Explanation:

Yes, it is the correct answer. h = 100 m u = 0 v= u2 + 2gh = 0 + 2 x 9.8 x 100 v2 = 1960 thus v = 44.2 m/s

If the mass of one object is halved as compared to other objects, the force of attraction between them will be

  1. double the previous value

  2. half the previous value

  3. four times the previous value

  4. same as that of the earlier value

  5. one third of the earlier value


Correct Option: B
Explanation:

As we know that F = GMm/R2 F is proportional to m. So, if mass is half,  then force is also half  the earlier value. So,  it is correct

The force due to which a body keeps moving along the circular path is

  1. electrostatic force

  2. centripetal force

  3. gravitational force

  4. frictional force

  5. all of the above


Correct Option: B
Explanation:

Centripetal force is an external force required to make a body move along circular path with uniform speed.

The weight of an object of mass 10 kg on earth is __________.

  1. 10 N

  2. 1.02 N

  3. 98 N

  4. 98 kg

  5. 10 kg


Correct Option: C
Explanation:

Yes, it is correct.
The weight of an object is defined as the force of gravity on the object. W = mg = 9.8 x 10 N = 98 N

The centripetal force is always acting

  1. towards the centre

  2. outwards

  3. tangentially

  4. both 2 and 3

  5. both 1 and 2


Correct Option: A
Explanation:

In uniform circular motion, acceleration is caused due to change in direction and is directed radially towards centre.

Which of the following physical quantities has no unit?

  1. Speed

  2. Density

  3. Relative density

  4. Volume

  5. Area


Correct Option: C
Explanation:

Relative density has no units.

An instrument used to measure the relative density of a liquid is called

  1. hygrometer

  2. hydrometer

  3. barometer

  4. lactometer

  5. thermometer


Correct Option: B
Explanation:

Hydrometer is an instrument used to measure the relative density of a liquid.

A buoyant force of 100 g wt. acts on a body dipped completely in water. If the apparent weight of body is 50 g wt., then its actual weight is _______.

  1. 100 g wt

  2. 50g wt

  3. 150g wt

  4. 300 g wt.

  5. 250 g wt


Correct Option: C
Explanation:

Apparent weight of the object = Actual weight – buoyant force exerted. 50 = Actual weight -100 Actual weight =150 wt

If the distance between two planets is increased by a factor of 3, the gravitational force of attraction between them will be _________.

  1. increased by a factor of 3

  2. reduced by a factor of 3

  3. increased by a factor of 9

  4. reduced by a factor of 9

  5. independent of radius


Correct Option: D
Explanation:

The gravitational force between two bodies is given by F = GMm/R2 If the distance between the two bodies R is increased by a factor of 3, the gravitational force F will reduce by a factor of 9.

The force of attraction between any two objects is called

  1. gravitational force

  2. frictional force

  3. electrostatic force

  4. magnetic force

  5. electromotive force


Correct Option: A
Explanation:

According to Newton all objects in the universe attract each other. This force of attraction between the objects is called gravitational force or gravity. So it is correct.

What is the mass of an object whose weight on earth is 392 N?

  1. 20 kg

  2. 9.8 kg

  3. 392 kg

  4. 4 kg

  5. 40 kg


Correct Option: E
Explanation:

Yes, it is the correct answer. W = mg 392 N = m x 9.8 m = 392/9.8 = 40 kg

If the weight of an object on the surface of the earth is 72N, its weight on the surface of the moon will be

  1. 36 N

  2. 432 N

  3. 6N

  4. 12N

  5. 18 N


Correct Option: D
Explanation:

As we know that weight depends on gravitational force acting on an object. On the surface of the moon, the value of acceleration due to gravity is one sixth compared to earth, so on the surface of moon the weight of the object is 1/6 x 72 = 12N.

The acceleration due to gravity is zero at __________.

  1. the equator

  2. poles

  3. sea levels

  4. the centre of the earth

  5. same at all places


Correct Option: D
Explanation:

The value of g does vary with altitude or height from the ground. The variation with height from the equation: g = GM/(RE + h)2

At the centre of the earth

  1. mass of a body is zero, but weight is not zero.

  2. mass of a body is not zero, but weight is zero.

  3. both mass and weight of a body is zero.

  4. both mass and weight of a body is not zero.

  5. the value of g is 9.8.


Correct Option: B
Explanation:

Weight depends on acceleration due to gravity and its value varies from place to place . So, it may be zero.

According to the principle of flotation

  1. weight of the liquid displaced > weight of the floating body

  2. weight of the liquid displaced < weight of the floating body

  3. weight of the liquid displaced = weight of the floating body

  4. independance on the weight of the body

  5. liquids


Correct Option: C
Explanation:

According to the principle of flotation, weight of the liquid displaced is equal to the weight of the floating body.

Choose the correct option

  1. Mass is measured with a spring balance and weight is measured with a pan balance.

  2. Mass is measured with a pan balance and weight is measured with a spring balance.

  3. Both the mass and weight are measured with a spring balance.

  4. Both the mass and weight are measured with a pan balance.

  5. Both 1 and 2.


Correct Option: B
Explanation:

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. Mass is measured using a pan balance, a triple-beam balance, lever balance or electronic balance. While weight is a measurement of the gravitational force acting on an object. It is measured using a spring balance. So, it is incorrect

If acceleration due to gravity on earth is 10 m/s2 then, the acceleration due to gravity on moon is _________.

  1. 1.66 m/s2

  2. 16.6 m/s2

  3. 10 m/s2

  4. 0.166 m/s2

  5. 6.0 m/s2


Correct Option: A
Explanation:

Gravity of Moon = 1/6 x gravity of Earth = (1/6) x 10 = 1.66 m/s2

A stone dropped from the roof of a building takes 2 seconds to reach the ground. What is the height of the building?

  1. 19.6 m

  2. 39.2 m

  3. 9.8 m

  4. 58.8 m

  5. 0


Correct Option: A
Explanation:

Given: u = 0 t = 2 s h = ? We know that, h = ut + ½ gt2 = 0 x 2+ ½ = ( 9.8 x 2 x 2)/2  = 19.6 m Thus, the height of the building =19.6 m

A boy from the roof of a building drops a stone. It takes 1s for the stone to reach the ground. The height of the building is [take g = 9.8 m/s2]

  1. 9.8 m

  2. 4.9 m

  3. 19.6 m

  4. 39.2 m

  5. 3.92 m


Correct Option: B
Explanation:

The motion of the body is under gravity. So here, u = 0, a = +g (as acceleration is in the direction of motion, i.e. 9.8 m/s2) t = 1 s Then, equation of motion is h = 1/2 gt2 = 1/2  x  9.8 x 1 x 1 = 4.9 m

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