The acceleration of free fall, symbolized by g , characterizes the rate at which an object accelerates when falling freely under the influence of gravity near the Earth's surface. It signifies the swiftness with which an object's velocity increases as it descends towards the Earth. Near the surfaceRead more
The acceleration of free fall, symbolized by g , characterizes the rate at which an object accelerates when falling freely under the influence of gravity near the Earth’s surface. It signifies the swiftness with which an object’s velocity increases as it descends towards the Earth.
Near the surface of the Earth, the average value for this acceleration is approximately 9.81meters per second² or 9.81m/s² . This implies that for every second an object is in free fall, its speed augments by 9.81m/s
Although slight variations in g might occur due to factors like location, altitude, or geographical disparities, 9.81m/s² serves as a common average for gravitational acceleration near the Earth’s surface.
This acceleration value holds immense importance in physics, especially in scenarios involving free-falling objects, projectile motion, and gravitational phenomena. It serves as a foundational constant, offering insights into the impact of gravity on objects in proximity to the Earth and enabling the comprehension of various gravitational-related phenomena.
The gravitational force between the Earth and an object is typically referred to as the "weight" of the object. Weight is the force exerted by the gravitational pull of the Earth on an object with mass. It is given by the formula: Weight = Mass x Acceleration due to Gravity Mathematically, weight (WRead more
The gravitational force between the Earth and an object is typically referred to as the “weight” of the object.
Weight is the force exerted by the gravitational pull of the Earth on an object with mass. It is given by the formula:
Weight = Mass x Acceleration due to Gravity
Mathematically, weight (W) can be calculated as the product of an object’s mass (m) and the acceleration due to gravity (g):
W = m x g
The weight of an object on Earth is essentially the gravitational force acting on that object due to the Earth’s gravity. It gives us an understanding of how heavy or massive an object appears when subjected to the pull of gravity on Earth’s surface.
- Acceleration due to Gravity (g) Variation: The value of (g) (acceleration due to gravity) is greater at the poles and slightly lower at the equator due to the Earth's shape and rotation. - Earth's Shape and Gravitational Variation: The Earth is not a perfect sphere but is slightly flattened at theRead more
– Acceleration due to Gravity (g) Variation: The value of (g) (acceleration due to gravity) is greater at the poles and slightly lower at the equator due to the Earth’s shape and rotation.
– Earth’s Shape and Gravitational Variation: The Earth is not a perfect sphere but is slightly flattened at the poles and bulging at the equator because of its rotation. This difference in shape influences the distribution of mass, causing variation in gravitational pull at different locations.
– Stronger Gravity at the Poles: At the poles, where the Earth is closer to a spherical shape, the gravitational force (g ) is slightly stronger due to the more direct pull towards the center.
– Weaker Gravity at the Equator: Conversely, at the equator, the gravitational force (g) is slightly weaker due to the centrifugal force caused by the Earth’s rotation, which counteracts some of the gravitational pull.
– Impact on Weight Measurement: When an object, such as gold, is bought at the poles where (g) is stronger and then measured at the equator where (g) is weaker, the weight of the gold will appear slightly lower at the equator. This discrepancy occurs due to the variation in gravitational acceleration between the two locations, affecting the perceived weight of the gold.
- Shape and Air Resistance: The difference in falling speed between a crumpled ball and a flat sheet of paper is due to their shapes and the impact of air resistance. - Air Resistance and Falling Objects: Air resistance is the force that opposes the motion of objects as they move through the air. ObRead more
– Shape and Air Resistance: The difference in falling speed between a crumpled ball and a flat sheet of paper is due to their shapes and the impact of air resistance.
– Air Resistance and Falling Objects: Air resistance is the force that opposes the motion of objects as they move through the air. Objects falling through the air experience this resistance, affecting their descent speed.
– Crumpled Ball’s Advantage: A crumpled ball has a more irregular and compact shape compared to a flat sheet of paper. This shape allows the air to flow around it more smoothly, resulting in less air resistance when it falls.
– Sheet’s Air Resistance: Conversely, a flat sheet of paper has a larger surface area and a more streamlined shape. As it falls, it encounters more air resistance due to its greater surface area catching more air.
– Effect on Falling Speed: The reduced air resistance experienced by the crumpled ball enables it to fall faster than the sheet of paper. With less resistance hindering its descent, the crumpled ball moves more freely through the air and accelerates faster downward.
– Conclusion: The difference in shape between the crumpled ball and the flat sheet affects the amount of air resistance each encounters during their fall. As a result, the crumpled ball falls faster due to its reduced air resistance, while the sheet of paper falls more slowly due to encountering greater air resistance caused by its larger surface area.
The weight of an object on any celestial body is determined by the gravitational force acting upon it. The weight is calculated using the formula: Weight = Mass x Acceleration due to Gravity Given the scenario where the gravitational force on the Moon is 1/6th as strong as the gravitational force onRead more
The weight of an object on any celestial body is determined by the gravitational force acting upon it. The weight is calculated using the formula:
Weight = Mass x Acceleration due to Gravity
Given the scenario where the gravitational force on the Moon is 1/6th as strong as the gravitational force on Earth:
1. Weight on Earth:
– The acceleration due to gravity on Earth g_earth is approximately 9.81m/s².
– For a 10 kg object on Earth:
Weight on Earth = 10 k x 9.81m/s² = 98.1 N
2. Weight on the Moon:
– Given that the gravitational force on the Moon is 1/6th of that on Earth:
g_moon = 1/6 x g_earth
g_moon = 1/6 x 9.81m/s² = 1.635 m/s²
– For the same 10 kg object on the Moon:
Weight on Moon = 10 kg x 1.635 m/s² = 16.35 N
In summary, the weight of a 10 kg object on Earth is 98.1 N, whereas on the Moon, due to the weaker gravitational force (1/6th that of Earth), the weight of the same object becomes 16.35 N. This significant difference in gravitational pull between the Earth and the Moon results in a lower weight for the object on the Moon compared to Earth.
What is the acceleration of free fall?
The acceleration of free fall, symbolized by g , characterizes the rate at which an object accelerates when falling freely under the influence of gravity near the Earth's surface. It signifies the swiftness with which an object's velocity increases as it descends towards the Earth. Near the surfaceRead more
The acceleration of free fall, symbolized by g , characterizes the rate at which an object accelerates when falling freely under the influence of gravity near the Earth’s surface. It signifies the swiftness with which an object’s velocity increases as it descends towards the Earth.
Near the surface of the Earth, the average value for this acceleration is approximately 9.81meters per second² or 9.81m/s² . This implies that for every second an object is in free fall, its speed augments by 9.81m/s
Although slight variations in g might occur due to factors like location, altitude, or geographical disparities, 9.81m/s² serves as a common average for gravitational acceleration near the Earth’s surface.
This acceleration value holds immense importance in physics, especially in scenarios involving free-falling objects, projectile motion, and gravitational phenomena. It serves as a foundational constant, offering insights into the impact of gravity on objects in proximity to the Earth and enabling the comprehension of various gravitational-related phenomena.
See lessWhat do we call the gravitational force between the earth and an object?
The gravitational force between the Earth and an object is typically referred to as the "weight" of the object. Weight is the force exerted by the gravitational pull of the Earth on an object with mass. It is given by the formula: Weight = Mass x Acceleration due to Gravity Mathematically, weight (WRead more
The gravitational force between the Earth and an object is typically referred to as the “weight” of the object.
Weight is the force exerted by the gravitational pull of the Earth on an object with mass. It is given by the formula:
Weight = Mass x Acceleration due to Gravity
Mathematically, weight (W) can be calculated as the product of an object’s mass (m) and the acceleration due to gravity (g):
W = m x g
The weight of an object on Earth is essentially the gravitational force acting on that object due to the Earth’s gravity. It gives us an understanding of how heavy or massive an object appears when subjected to the pull of gravity on Earth’s surface.
See lessAmit buys few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought? If not, why? [Hint: The value of g is greater at the poles than at the equator.]
- Acceleration due to Gravity (g) Variation: The value of (g) (acceleration due to gravity) is greater at the poles and slightly lower at the equator due to the Earth's shape and rotation. - Earth's Shape and Gravitational Variation: The Earth is not a perfect sphere but is slightly flattened at theRead more
– Acceleration due to Gravity (g) Variation: The value of (g) (acceleration due to gravity) is greater at the poles and slightly lower at the equator due to the Earth’s shape and rotation.
– Earth’s Shape and Gravitational Variation: The Earth is not a perfect sphere but is slightly flattened at the poles and bulging at the equator because of its rotation. This difference in shape influences the distribution of mass, causing variation in gravitational pull at different locations.
– Stronger Gravity at the Poles: At the poles, where the Earth is closer to a spherical shape, the gravitational force (g ) is slightly stronger due to the more direct pull towards the center.
– Weaker Gravity at the Equator: Conversely, at the equator, the gravitational force (g) is slightly weaker due to the centrifugal force caused by the Earth’s rotation, which counteracts some of the gravitational pull.
– Impact on Weight Measurement: When an object, such as gold, is bought at the poles where (g) is stronger and then measured at the equator where (g) is weaker, the weight of the gold will appear slightly lower at the equator. This discrepancy occurs due to the variation in gravitational acceleration between the two locations, affecting the perceived weight of the gold.
See lessWhy will a sheet of paper fall slower than one that is crumpled into a ball?
- Shape and Air Resistance: The difference in falling speed between a crumpled ball and a flat sheet of paper is due to their shapes and the impact of air resistance. - Air Resistance and Falling Objects: Air resistance is the force that opposes the motion of objects as they move through the air. ObRead more
– Shape and Air Resistance: The difference in falling speed between a crumpled ball and a flat sheet of paper is due to their shapes and the impact of air resistance.
– Air Resistance and Falling Objects: Air resistance is the force that opposes the motion of objects as they move through the air. Objects falling through the air experience this resistance, affecting their descent speed.
– Crumpled Ball’s Advantage: A crumpled ball has a more irregular and compact shape compared to a flat sheet of paper. This shape allows the air to flow around it more smoothly, resulting in less air resistance when it falls.
– Sheet’s Air Resistance: Conversely, a flat sheet of paper has a larger surface area and a more streamlined shape. As it falls, it encounters more air resistance due to its greater surface area catching more air.
– Effect on Falling Speed: The reduced air resistance experienced by the crumpled ball enables it to fall faster than the sheet of paper. With less resistance hindering its descent, the crumpled ball moves more freely through the air and accelerates faster downward.
– Conclusion: The difference in shape between the crumpled ball and the flat sheet affects the amount of air resistance each encounters during their fall. As a result, the crumpled ball falls faster due to its reduced air resistance, while the sheet of paper falls more slowly due to encountering greater air resistance caused by its larger surface area.
See lessGravitational force on the surface of the moon is only 1/6 as strong as gravitational force on the earth. What is the weight in newtons of a 10 kg object on the moon and on the earth?
The weight of an object on any celestial body is determined by the gravitational force acting upon it. The weight is calculated using the formula: Weight = Mass x Acceleration due to Gravity Given the scenario where the gravitational force on the Moon is 1/6th as strong as the gravitational force onRead more
The weight of an object on any celestial body is determined by the gravitational force acting upon it. The weight is calculated using the formula:
Weight = Mass x Acceleration due to Gravity
Given the scenario where the gravitational force on the Moon is 1/6th as strong as the gravitational force on Earth:
1. Weight on Earth:
– The acceleration due to gravity on Earth g_earth is approximately 9.81m/s².
– For a 10 kg object on Earth:
Weight on Earth = 10 k x 9.81m/s² = 98.1 N
2. Weight on the Moon:
– Given that the gravitational force on the Moon is 1/6th of that on Earth:
g_moon = 1/6 x g_earth
g_moon = 1/6 x 9.81m/s² = 1.635 m/s²
– For the same 10 kg object on the Moon:
Weight on Moon = 10 kg x 1.635 m/s² = 16.35 N
In summary, the weight of a 10 kg object on Earth is 98.1 N, whereas on the Moon, due to the weaker gravitational force (1/6th that of Earth), the weight of the same object becomes 16.35 N. This significant difference in gravitational pull between the Earth and the Moon results in a lower weight for the object on the Moon compared to Earth.
See less