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All questions of Gravitation & Floatation for Grade 9 Exam

Thrust exerted by an iron cuboid when placed on sand is equal to
  • a)
    mass of cuboid
  • b)
    mass per unit surface area
  • c)
    weight of cuboid
  • d)
    weight per unit surface area
Correct answer is option 'C'. Can you explain this answer?

Thrust Exerted by an Iron Cuboid on Sand

Thrust is defined as the force exerted by an object perpendicular to the surface it is in contact with. When an iron cuboid is placed on sand, it exerts a force on the sand due to its weight.

Factors Affecting Thrust

The thrust exerted by an iron cuboid on sand depends on the following factors:

1. Weight of the cuboid
2. Surface area of the base of the cuboid
3. Nature of the sand

Calculation of Thrust

The thrust exerted by an iron cuboid on sand can be calculated using the formula:

Thrust = Weight of the cuboid

This is because the weight of the cuboid is the force with which it is pressing down on the sand, and this force is transmitted to the sand as thrust.

Explanation of Options

a) Mass of cuboid - The mass of the cuboid is not directly related to the thrust exerted by it on sand. It is the weight of the cuboid that matters.

b) Mass per unit surface area - Mass per unit surface area is not a relevant parameter for calculating the thrust exerted by an object on a surface.

c) Weight of cuboid - The weight of the cuboid is the force with which it is pressing down on the sand, and this force is transmitted to the sand as thrust. Therefore, the correct answer is option 'C'.

d) Weight per unit surface area - Weight per unit surface area is not a relevant parameter for calculating the thrust exerted by an object on a surface.

Conclusion

The thrust exerted by an iron cuboid on sand is equal to its weight. This is because the weight of the cuboid is the force with which it is pressing down on the sand, and this force is transmitted to the sand as thrust.

1 kg wt is equal to
  • a)
    9.8 N
  • b)
    980 N
  • c)
    98 N
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Saikat Shah answered
Conversion of 1 kg wt to Newtons

Definition of kilogram weight (kg wt)

Kilogram weight (kg wt) is a unit of force used in the metric system. It is defined as the weight of a kilogram mass under standard gravity.

Definition of Newton (N)

Newton (N) is the SI unit of force. It is defined as the force required to accelerate a mass of one kilogram at a rate of one meter per second per second.

Formula for conversion of kg wt to N

The formula for converting kg wt to N is:

1 kg wt = 9.8 N

Explanation of the formula

The conversion factor for kg wt to N is the acceleration due to gravity (g). In SI units, the value of g is approximately 9.8 m/s2. Therefore, the weight of a mass of 1 kg under standard gravity is:

Weight = Mass x Acceleration due to gravity
= 1 kg x 9.8 m/s2
= 9.8 N

Conclusion

Therefore, 1 kg wt is equal to 9.8 N. This conversion factor is used to convert between units of force in the metric system.

The pressure exerted by water (density = 103 kg/m3) on the bottom surface (2m × 4m) of tank having dimensions 2m × 4m × 2m is​
  • a)
    2.96 × 105 Pa
  • b)
    1.96 × 105 Pa
  • c)
    1.80 × 104 Pa
  • d)
    1.96 × 104 Pa
Correct answer is option 'D'. Can you explain this answer?

EduRev Class 9 answered
The pressure exerted by a fluid in a tank is given by the formula:
P = ρgh
where

  • ρ (rho) is the density of the fluid (water, 103 kg/m3)

  • g is the acceleration due to gravity (approximately 9.8 m/s2)

  • h is the height of the fluid column (2 meters)
Substitute the values into the formula:

  • P = 103 kg/m3 × 9.8 m/s2 × 2 m

  • P = 1.96 × 104 Pa
Therefore, the correct answer is:
D: 1.96 × 104 Pa

Maximum weight of a body is
  • a)
    At the centre of the earth
  • b)
    Inside the earth
  • c)
    On the surface of the earth
  • d)
    Above the surface of earth
Correct answer is option 'C'. Can you explain this answer?

Ritu Saxena answered
At the center gravity is 0 ,gravity decreases as we go down into the earth ,also it decreases as we go above the surface of earth.
So weight w = mg is maximum on the surface because at surface the value of g is maximum.

A rectangular block of wood of dimensions 40cm x 20cm x 10cm is kept on a table top. The pressure is greatest when it is rested on
  • a)
    equal for all cases
  • b)
    20cm x 10 cm
  • c)
    40cm x 10cm
  • d)
    40cm x 20cm
Correct answer is option 'B'. Can you explain this answer?

Raghav Bansal answered
Mass of the Wooden block, m = 5Kg
Thrust due to wooden block, Mg = 5kg x 9.8 m/s² = 49N
(a)    Surface area of 20 Cm x 10 Cm surface ,
A = (20 x 10) cm² = (0.2 x 0.1) m² = 0.02 m²
P = mg / A = 49 N / 0.02 m² = 49/0.02 N/m²  
Or Pressure, P = 2450 N/m²
(b)   Surface area of  40 cm x 20 cm surface,
A = ( 40 x 20) cm² = ( 0.4 x 0.2 ) m² = 0.08 m²
P = mg / A = 49 N / 0.08 m² = 49/0.08 N/m²
Or Pressure, P = 612.5 N/m²
 

A ball is thrown vertically upwards with a velocity ‘u’. The velocity with which it falls to the earth again is:
  • a)
    Greater than ‘u’
  • b)
    Greater than or equal to ‘u’
  • c)
    Equal to ‘u’
  • d)
    Less than ‘u’
Correct answer is option 'C'. Can you explain this answer?

Anita Menon answered
For vertically upward motion: g is negative as it opposes the motion.
v = u – gt
0 = u – gt
t = u/g      (1)
For vertically downward motion: g is positive as it is in the direction of motion.
v = u + gt
v = 0 + gt
t = v/g        (2)
From equation 1 and 2
v = u

What is the mass of a body whose weight is 59 N? Take g = 9.8 m/s2
  • a)
    5 kg
  • b)
    9 kg
  • c)
    6 kg
  • d)
    50 kg
Correct answer is 'C'. Can you explain this answer?

Nirali Shah answered
To find the mass of a body, we can use the formula:

Weight = mass × acceleration due to gravity (g)

Given that the weight of the body is 59 N and the acceleration due to gravity is 9.8 m/s^2, we can rearrange the formula to solve for mass:

mass = weight / acceleration due to gravity

Substituting the given values:

mass = 59 N / 9.8 m/s^2

Calculating this equation gives us:

mass ≈ 6 kg

Therefore, the mass of the body is approximately 6 kg.

Explanation:
- Weight is the force exerted by a body due to gravity, and it is measured in Newtons (N).
- The acceleration due to gravity, denoted by 'g', is the acceleration an object experiences due to the gravitational force. On Earth, the average value of g is approximately 9.8 m/s^2.
- The formula weight = mass × acceleration due to gravity relates weight, mass, and acceleration due to gravity.
- To find the mass, we rearrange the formula and divide both sides by acceleration due to gravity.
- By substituting the given values of weight (59 N) and acceleration due to gravity (9.8 m/s^2) into the formula, we can calculate the mass.
- The final result is approximately 6 kg.

If the mass of a body is M on the sufrace of the earth, then its mass on the surface of the moon will be
  • a)
    M/6
  • b)
    M
  • c)
    M + 6
  • d)
    Zero
Correct answer is option 'B'. Can you explain this answer?

Aaditya Saini answered
Mass of body on surface of Earth vs. Moon

Explanation:

On the surface of the Earth, the gravitational force acting on a body is given by:

F = mg

where F is the force of attraction due to gravity, m is the mass of the body and g is the acceleration due to gravity.

On the surface of the Moon, the acceleration due to gravity is much lower than on Earth. The value of g on the surface of the Moon is approximately 1/6th of its value on Earth.

Therefore, the force of attraction due to gravity on the surface of the Moon is given by:

F' = mg/6

where m is the same as the mass of the body on Earth.

The mass of the body, however, remains the same on the surface of the Moon as it was on the surface of the Earth, since mass is an intrinsic property of an object and does not change with location.

Hence, the correct answer is option B, which states that the mass of the body on the surface of the Moon is the same as its mass on the surface of the Earth.

The magnitude of gravitational force between the earth and 10 kg body is:
  • a)
    98 N
  • b)
    90 N
  • c)
    9.8 N
  • d)
    100 N
Correct answer is option 'A'. Can you explain this answer?

Gravity of earth is 9.8 N acceleration due to gravity is also 9.8 N gravitational force is nothing but the force applied by earth Therefore, f = m*a f,= 10*9.8 f= 98 N

A geostationary satellite
  • a)
    Moves faster than the near earth satellite
  • b)
    Has a time period less that of a near earth satellite
  • c)
    Revolves about the polar axis
  • d)
    Is stationary in space
Correct answer is option 'C'. Can you explain this answer?

Vikram Khanna answered
A geostationary satellite revolves around the earth with the same angular velocity and in the same sense as done by the earth about its own axis, i.e. west-east direction. A polar satellite revolves around the earth's pole in north-south direction.

A glass cuboidal has dimensions 10gm × 10 cm  × 4cm. it is kept with its perfect face (10 cm × 10 cm) in contact with the table. if is lifted and allowed to rest on the table with its smaller surface (10 cm × 4 cm) in contact with the table the pressure exerted will
  • a)
    remain unchanged
  • b)
    decrease
  • c)
    increase
  • d)
    may increase or decrease depending on the shape of table.
Correct answer is option 'C'. Can you explain this answer?

Ritu Agarwal answered
Answer:

The buoyant force or upthrust is the force exerted by a fluid (liquid or gas) on an object submerged or floating in it. It is the force that opposes the weight of the object and acts in the upward direction. According to Archimedes' principle, an object will float if the upthrust acting on it is equal to or greater than its weight.

Weight of an Object:
The weight of an object is the force exerted on it due to gravity. It depends on the mass of the object and the acceleration due to gravity. Weight is measured in newtons (N).

Upthrust:
Upthrust is the force exerted by a fluid on an object immersed in it. It is equal to the weight of the fluid displaced by the object. Upthrust acts in the opposite direction to the force of gravity.

Equilibrium:
When the weight of an object is equal to the upthrust acting on it, the object is in a state of equilibrium. In this state, there is no net force acting on the object, and it remains at rest or moves with a constant velocity.

Float:
If the weight of an object is less than the upthrust acting on it, the object will float. This means that the upthrust is greater than the weight, causing the object to rise and remain partially or completely submerged in the fluid. The object will displace an amount of fluid equal to its own weight.

Sink:
If the weight of an object is greater than the upthrust acting on it, the object will sink. This means that the weight is greater than the upthrust, causing the object to descend and be fully submerged in the fluid. The object will displace an amount of fluid less than its own weight.

Therefore, if the weight of an object is equal to or less than the upthrust acting on it, the object will float. The upthrust will be greater than or equal to the weight, allowing the object to remain partially or completely submerged in the fluid.

The density of copper is 9 g/cm3. Then the volume of 90 g copper is​
  • a)
    90 cm3
  • b)
    9 cm3
  • c)
    810 cm3
  • d)
    10 cm3
Correct answer is option 'D'. Can you explain this answer?

Hansa Sharma answered
Density of copper = 9 gm/cm^3
Mass of copper  =  90 g
We know;  Density =  mass / volume
⇒ volume  = mass / density
⇒    90 / 9
⇒ Volume  = 10 cm3

The S. I unit of G is
  • a)
    Nkg2/m2
  • b)
    Nm2/kg2
  • c)
    N2m/kg
  • d)
    Nm/kg2
Correct answer is option 'B'. Can you explain this answer?

Abhishek Jain answered
Universal gravitational constant is represented by ‘G’. S.I. unit of universal gravitational constant is Nm2/Kg2. As G = Fxr2/Mm.

SI unit of G is
  • a)
    N2–m2/kg
  • b)
    N–m2/kg
  • c)
    N–m/kg
  • d)
    N -m2/kg2
Correct answer is option 'D'. Can you explain this answer?

Vikas Kapoor answered
In SI units, G has the value 6.67 × 10-11 Newtons kg-2 m2. The direction of the force is in a straight line between the two bodies and is attractive. Thus, an apple falls from a tree because it feels the gravitational force of the Earth and is therefore subject to “gravity”.

Weight of an object is highest at
  • a)
    Center of earth
  • b)
    Poles
  • c)
    Above the earth’s surface
  • d)
    Equator
Correct answer is option 'B'. Can you explain this answer?

Sarita Reddy answered
Earth is not a perfect sphere. Its radius at equator is greater than poles. Acceleration due to gravity is inversely proportional to the square of its radius. So, the acceleration due to gravity is greatest at poles. Hence, from relation, W = mg, it is clear that weight is highest at the poles.

An object weighing 5 N in air, weighs 4.5 N a liquid. The buoyant force experienced by the object is 
  • a)
    (5 + 4.5) N
  • b)
    4.5/5 N
  • c)
    5/4.5 N
  • d)
    0.5 N
Correct answer is 'D'. Can you explain this answer?

Anita Menon answered
The buoyant force experienced by the object is:- The buoyant force is in opposite direction to the weight of the object. Hence, if the object weighs 4.5 N in liquid then 0.5 N buoyant force will act on the object.

A packet of 400 g and volume 200 cm3 is put in a water tank. The relative density of packet is
  • a)
    200
  • b)
    2
  • c)
    4
  • d)
    400
Correct answer is option 'B'. Can you explain this answer?

Ayantika Patra answered
The density of the packet is 400/200 g/cm³= 2 g/cm³
we know relative density = the density of the matter/the density of water at 4 degree celsius
so the relative density = 2g/cm³ / 1 gm/cm³= 2 (the density of water at 4 degree celsius=1gm/cm³)
the correct option is (b).

The value of acceleration due to gravity at the poles
  • a)
    Is more than at the equator
  • b)
    Same as at the equator
  • c)
    Is less than at the equator
  • d)
    zero
Correct answer is option 'A'. Can you explain this answer?

Arvind Singh answered
In combination, the equatorial bulge and the effects of the surface centrifugal force due to rotation mean that sea-level effective gravity increases from about 9.780 m/s2 at the Equator to about 9.832 m/s2 at the poles, so an object will weigh about 0.5% more at the poles than at the Equator.

The sea water is denser than fresh water due to
  • a)
    Mixing of sand
  • b)
    Stagnation
  • c)
    Mixing of salts
  • d)
    Evaporation
Correct answer is option 'C'. Can you explain this answer?

Density is defined as the mass per unit volume. In seawater, the salts are dissolved in water resulting in an increase in their mass per unit volume. Hence, seawater is denser than freshwater because of the dissolved salts in seawater, its density increases.

Gravitational force which acts on 1 kg is
  • a)
    9.8 N
  • b)
    1/9.8 N
  • c)
    980 N
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

To covert kg to N , we have to multiply the kg value by 9.8 . So 1x9.8=9.8. hence the answer A is correct

How does the pressure exerted by a nail change when it is compared to a flat surface?
  • a)
    It remains the same
  • b)
    It decreases
  • c)
    It increases
  • d)
    It fluctuates
Correct answer is option 'C'. Can you explain this answer?

EduRev Class 9 answered
The pressure exerted by a nail is greater compared to a flat surface due to its smaller tip area. The same force is concentrated on a smaller area in the case of the nail, resulting in a higher pressure. This higher pressure is what allows the nail to penetrate surfaces more easily.

SI unit of g is
  • a)
    m2/s
  • b)
    s/m2
  • c)
    m/s2
  • d)
    m/s
Correct answer is option 'C'. Can you explain this answer?

Garima Desai answered
SI unit of g is m/s2

Explanation:
- Definition of g: g is the acceleration due to gravity, which is the force that pulls objects towards the center of the earth.
- SI unit of acceleration is m/s2, which represents the change in velocity per unit time.
- Therefore, the SI unit of g is also m/s2.
- This unit is commonly used in physics and engineering to describe the acceleration of objects under the influence of gravity.
- Other units of acceleration include km/h2, cm/s2, and ft/s2, but these are not part of the SI system.

Weight
  • a)
    Is a vector quantity
  • b)
    Of a body in interplanetary space is maximum
  • c)
    Increases when the bodies go up
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Radha Iyer answered
Weight is a fundamental concept in physics that refers to the force exerted on an object due to gravity. Here is a detailed explanation of the given statement:
Weight:

Weight is the force experienced by an object due to the gravitational pull of the Earth or any other celestial body. It is a vector quantity because it has both magnitude and direction. The direction of the weight vector is always towards the center of the celestial body.
Explanation of the given options:

-
A: Is a vector quantity:

- Weight is a vector quantity because it has both magnitude and direction. The magnitude of weight is equal to the product of the mass of the object and the acceleration due to gravity. The direction of weight is always towards the center of the celestial body.
-
B: Of a body in interplanetary space is maximum:

- Weight is directly proportional to the mass of the object. In interplanetary space, where the gravitational field is weak or negligible, the weight of a body would be much less compared to its weight on Earth. Therefore, the weight of a body in interplanetary space is not maximum.
-
C: Increases when the bodies go up:

- As bodies go up in the Earth's atmosphere, they move farther away from the center of the Earth. The distance between the body and the center of the Earth increases, which leads to a decrease in the acceleration due to gravity. Consequently, the weight of the body decreases as it goes up, rather than increasing.
-
D: None of these:

- The correct answer is not "D: None of these" because option A, which states that weight is a vector quantity, is correct.

The value of g near the earth's surface is
  • a)
    8.9 m/s2
  • b)
    8.9 m/s
  • c)
    9.8 m/s2
  • d)
    9.8 m/s
Correct answer is option 'C'. Can you explain this answer?

Rajesh Yadav answered


Explanation:

Gravitational Acceleration:
- The value of gravitational acceleration, denoted as 'g', near the Earth's surface is approximately 9.8 m/s^2.
- This value represents the acceleration experienced by an object due to the Earth's gravitational pull.

Acceleration Due to Gravity:
- The acceleration due to gravity is the acceleration that an object experiences when it is in free fall near the Earth's surface.
- It is approximately 9.8 m/s^2, which means that every second an object in free fall near the Earth's surface will increase its velocity by 9.8 m/s.

Variation in g:
- The value of g can vary slightly depending on the location on Earth, altitude, and other factors.
- However, for most practical purposes, a value of 9.8 m/s^2 is commonly used as the standard value of g near the Earth's surface.

Conclusion:
- Therefore, the correct value of g near the Earth's surface is 9.8 m/s^2, making option 'C' the correct answer.

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