The universal law of gravitation, conceptualized by Sir Isaac Newton in the 17th century, holds immense significance due to its profound impact on various scientific domains and its ability to explain fundamental aspects of the universe. 1. Planetary Motion Insights: Newton's law explains how celestRead more
The universal law of gravitation, conceptualized by Sir Isaac Newton in the 17th century, holds immense significance due to its profound impact on various scientific domains and its ability to explain fundamental aspects of the universe.
1. Planetary Motion Insights: Newton’s law explains how celestial bodies, like planets and moons, interact through gravitational forces. This elucidates their orbits around a central mass, offering key insights into planetary motion.
2. Predictive Power: Scientists leverage this law to predict the paths of celestial objects within our solar system and beyond. It provides a mathematical framework to forecast the movements and interactions of astronomical bodies, aiding in astronomical observations and space missions.
3. Tidal Phenomena Understanding: The law accounts for tidal phenomena on Earth caused by gravitational forces between the Earth, Moon, and Sun. Understanding tides is pivotal for coastal regions, navigation, and ecological systems.
4. Universal Gravitational Attraction: Newton’s law highlights how objects with mass exert gravitational attraction on each other. It explains interactions not only between celestial bodies but also everyday objects on Earth, showcasing the universal nature of gravity.
5. Pioneering Physics Foundation: This law laid the groundwork for classical mechanics, marking a significant milestone in the advancement of physics. It introduced a framework to comprehend forces, motion, and interactions between objects, impacting subsequent theories and discoveries.
6. Space Exploration Advancements: Gravitational insights aid in calculating trajectories and maneuvers for space missions. It’s crucial in planning spacecraft trajectories, orbital insertions, and gravitational assists for interplanetary exploration.
7. Scientific Progress Catalyst: Newton’s law represents a testament to the power of empirical observations, mathematical formulations, and scientific theories. It paved the way for further inquiries into gravitational physics, culminating in subsequent theories like Einstein’s general relativity.
In summary, the universal law of gravitation stands as a cornerstone in astronomy, physics, and scientific exploration. Its applications span from explaining planetary motion to influencing our understanding of forces, motion, and the workings of the cosmos. It continues to shape our comprehension of the universe, inspiring scientific inquiries and advancements.
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.
To determine the final velocity of a stone released from the top of a tower, falling freely under the influence of gravity, we can apply principles of kinematics and the laws of motion. Given: - Initial velocity (u) = 0 m/s (as the stone is released from rest) - Height of the tower (s) = 19.6 metersRead more
To determine the final velocity of a stone released from the top of a tower, falling freely under the influence of gravity, we can apply principles of kinematics and the laws of motion.
Given:
– Initial velocity (u) = 0 m/s (as the stone is released from rest)
– Height of the tower (s) = 19.6 meters
– Acceleration due to gravity (g) = 9.81 m/s² (approximately)
Using the equations of motion under constant acceleration, the one relating initial velocity (u), final velocity (v), acceleration (a), and displacement (s) is:
v² = u² + 2as
Here, (v) represents the final velocity, (u) is the initial velocity, (a) is the acceleration due to gravity, and (s) is the displacement (height).
Given that the initial velocity (u) is 0 m/s, the equation simplifies to:
v² = 0 + 2 x 9.81 x 19.6
v² = 0 + 2 x 9.81 x 19.6
v² = 0 + 2 x 192.276
v² = 384.552
Taking the square root of both sides to find (v):
v = √(384.552)
v ≈ 19.6 m/s
Hence, the final velocity of the stone just before touching the ground is approximately 19.6 m/s. This calculation assumes the absence of air resistance or other external forces affecting the stone during its fall.
To determine when and where two stones, one falling from the top of a tower and the other projected vertically upwards from the ground, will meet, we'll apply principles of motion under gravity. Given: - Height of the tower h₁ = 100 meters - Initial velocity of the stone projected upwards (u₁) = 25Read more
To determine when and where two stones, one falling from the top of a tower and the other projected vertically upwards from the ground, will meet, we’ll apply principles of motion under gravity.
Given:
– Height of the tower h₁ = 100 meters
– Initial velocity of the stone projected upwards (u₁) = 25 m/s
– Acceleration due to gravity g = 9.81 m/s² (approximately)
Calculating time for the stone projected upwards to reach maximum height:
Using the equation (v = u + at) where (v) is the final velocity, (u) is the initial velocity, (a) is the acceleration due to gravity, and (t) is time:
At maximum height, the final velocity (v) becomes (0 m/s) momentarily before the stone starts falling back down. So, v = 0, u = 25 m/s, and a = -9.81m/s² (negative due to opposing the upward motion).
v = u + at
0 = 25 – 9.81t
t = 25/9.81
t ≈ 2.55 seconds
Calculating the height reached by the stone projected upwards after 2.55 seconds:
The height (s₂) reached by the stone is calculated using the equation (s = ut + 1/2 at² ):
s₂ = u₁t + 1/2 gt²
s₂ = 25 x 2.55 +1/2 x (-9.81) \times (2.55)²
s₂ ≈ 63.75 meters
Therefore, after approximately 2.55 seconds, the stone projected upwards reaches a height of approximately 63.75 meters.
Conclusion:
Both stones will meet after 2.55 seconds at a height of approximately 63.75 meters above the ground.
When an object is immersed in a liquid, it experiences an upward force known as the buoyant force. This force acts in the upward direction, perpendicular to the surface of the liquid at any given point within the liquid. Here are some key points about the direction of the buoyant force: 1. Upward DiRead more
When an object is immersed in a liquid, it experiences an upward force known as the buoyant force. This force acts in the upward direction, perpendicular to the surface of the liquid at any given point within the liquid.
Here are some key points about the direction of the buoyant force:
1. Upward Direction: The buoyant force always acts in the upward direction when an object is submerged in a liquid. It opposes the force of gravity that pulls the object downward.
2. Result of Pressure Differences: The buoyant force arises due to differences in pressure within the liquid. As an object is submerged, the pressure at the bottom is higher than at the top, resulting in a net upward force.
3. Equal to Displaced Liquid: According to Archimedes’ principle, the buoyant force is equal to the weight of the liquid displaced by the immersed object. It is this displaced liquid that exerts an upward force on the object.
4. Determines Buoyancy: The direction and magnitude of the buoyant force are key in determining the buoyancy of an object. If the buoyant force is greater than the object’s weight, it floats; if it’s less, the object sinks; and if it’s equal, the object remains suspended in the liquid.
In summary, the buoyant force always acts in the upward direction when an object is immersed in a liquid. This force is a consequence of the pressure differences within the liquid and plays a significant role in determining whether an object will float, sink, or remain suspended in the liquid.
When a block of plastic is released underwater, it ascends to the surface due to the fundamental principles of buoyancy and density. Here's a breakdown of why this happens: 1. Buoyant Force: When an object is submerged in a fluid, it experiences an upward force known as the buoyant force. This forceRead more
When a block of plastic is released underwater, it ascends to the surface due to the fundamental principles of buoyancy and density.
Here’s a breakdown of why this happens:
1. Buoyant Force: When an object is submerged in a fluid, it experiences an upward force known as the buoyant force. This force is equal to the weight of the fluid displaced by the object.
2. Density Difference: Plastic typically has a lower density compared to water. Density signifies how much mass is packed into a certain volume. Since the density of plastic is less than that of water, the plastic block is less dense than the water it displaces.
3. Archimedes’ Principle: This principle states that the buoyant force acting on an object is equivalent to the weight of the fluid it displaces. If the buoyant force is greater than the weight of the object, the object will float or rise.
4. Resultant Force: Given that the plastic block is less dense than water, the buoyant force acting on it is greater than its own weight. Consequently, there is an overall upward force, propelling the block upwards through the water until it reaches the water’s surface.
In essence, the block of plastic ascends to the surface because its density is lower than that of water, resulting in a stronger upward buoyant force as per Archimedes’ principle. This disparity in density causes the plastic block to float and rise towards the water’s surface when submerged.
What is the importance of universal law of gravitation?
The universal law of gravitation, conceptualized by Sir Isaac Newton in the 17th century, holds immense significance due to its profound impact on various scientific domains and its ability to explain fundamental aspects of the universe. 1. Planetary Motion Insights: Newton's law explains how celestRead more
The universal law of gravitation, conceptualized by Sir Isaac Newton in the 17th century, holds immense significance due to its profound impact on various scientific domains and its ability to explain fundamental aspects of the universe.
1. Planetary Motion Insights: Newton’s law explains how celestial bodies, like planets and moons, interact through gravitational forces. This elucidates their orbits around a central mass, offering key insights into planetary motion.
2. Predictive Power: Scientists leverage this law to predict the paths of celestial objects within our solar system and beyond. It provides a mathematical framework to forecast the movements and interactions of astronomical bodies, aiding in astronomical observations and space missions.
3. Tidal Phenomena Understanding: The law accounts for tidal phenomena on Earth caused by gravitational forces between the Earth, Moon, and Sun. Understanding tides is pivotal for coastal regions, navigation, and ecological systems.
4. Universal Gravitational Attraction: Newton’s law highlights how objects with mass exert gravitational attraction on each other. It explains interactions not only between celestial bodies but also everyday objects on Earth, showcasing the universal nature of gravity.
5. Pioneering Physics Foundation: This law laid the groundwork for classical mechanics, marking a significant milestone in the advancement of physics. It introduced a framework to comprehend forces, motion, and interactions between objects, impacting subsequent theories and discoveries.
6. Space Exploration Advancements: Gravitational insights aid in calculating trajectories and maneuvers for space missions. It’s crucial in planning spacecraft trajectories, orbital insertions, and gravitational assists for interplanetary exploration.
7. Scientific Progress Catalyst: Newton’s law represents a testament to the power of empirical observations, mathematical formulations, and scientific theories. It paved the way for further inquiries into gravitational physics, culminating in subsequent theories like Einstein’s general relativity.
In summary, the universal law of gravitation stands as a cornerstone in astronomy, physics, and scientific exploration. Its applications span from explaining planetary motion to influencing our understanding of forces, motion, and the workings of the cosmos. It continues to shape our comprehension of the universe, inspiring scientific inquiries and advancements.
See lessWhat 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 lessA stone is released from the top of a tower of height 19.6 m. Calculate its final velocity.
To determine the final velocity of a stone released from the top of a tower, falling freely under the influence of gravity, we can apply principles of kinematics and the laws of motion. Given: - Initial velocity (u) = 0 m/s (as the stone is released from rest) - Height of the tower (s) = 19.6 metersRead more
To determine the final velocity of a stone released from the top of a tower, falling freely under the influence of gravity, we can apply principles of kinematics and the laws of motion.
Given:
– Initial velocity (u) = 0 m/s (as the stone is released from rest)
– Height of the tower (s) = 19.6 meters
– Acceleration due to gravity (g) = 9.81 m/s² (approximately)
Using the equations of motion under constant acceleration, the one relating initial velocity (u), final velocity (v), acceleration (a), and displacement (s) is:
v² = u² + 2as
Here, (v) represents the final velocity, (u) is the initial velocity, (a) is the acceleration due to gravity, and (s) is the displacement (height).
Given that the initial velocity (u) is 0 m/s, the equation simplifies to:
v² = 0 + 2 x 9.81 x 19.6
v² = 0 + 2 x 9.81 x 19.6
v² = 0 + 2 x 192.276
v² = 384.552
Taking the square root of both sides to find (v):
v = √(384.552)
v ≈ 19.6 m/s
Hence, the final velocity of the stone just before touching the ground is approximately 19.6 m/s. This calculation assumes the absence of air resistance or other external forces affecting the stone during its fall.
See lessA stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Calculate when and where the two stones will meet.
To determine when and where two stones, one falling from the top of a tower and the other projected vertically upwards from the ground, will meet, we'll apply principles of motion under gravity. Given: - Height of the tower h₁ = 100 meters - Initial velocity of the stone projected upwards (u₁) = 25Read more
To determine when and where two stones, one falling from the top of a tower and the other projected vertically upwards from the ground, will meet, we’ll apply principles of motion under gravity.
Given:
– Height of the tower h₁ = 100 meters
– Initial velocity of the stone projected upwards (u₁) = 25 m/s
– Acceleration due to gravity g = 9.81 m/s² (approximately)
Calculating time for the stone projected upwards to reach maximum height:
Using the equation (v = u + at) where (v) is the final velocity, (u) is the initial velocity, (a) is the acceleration due to gravity, and (t) is time:
At maximum height, the final velocity (v) becomes (0 m/s) momentarily before the stone starts falling back down. So, v = 0, u = 25 m/s, and a = -9.81m/s² (negative due to opposing the upward motion).
v = u + at
0 = 25 – 9.81t
t = 25/9.81
t ≈ 2.55 seconds
Calculating the height reached by the stone projected upwards after 2.55 seconds:
The height (s₂) reached by the stone is calculated using the equation (s = ut + 1/2 at² ):
s₂ = u₁t + 1/2 gt²
s₂ = 25 x 2.55 +1/2 x (-9.81) \times (2.55)²
s₂ ≈ 63.75 meters
Therefore, after approximately 2.55 seconds, the stone projected upwards reaches a height of approximately 63.75 meters.
Conclusion:
See lessBoth stones will meet after 2.55 seconds at a height of approximately 63.75 meters above the ground.
In what direction does the buoyant force on an object immersed in a liquid act?
When an object is immersed in a liquid, it experiences an upward force known as the buoyant force. This force acts in the upward direction, perpendicular to the surface of the liquid at any given point within the liquid. Here are some key points about the direction of the buoyant force: 1. Upward DiRead more
When an object is immersed in a liquid, it experiences an upward force known as the buoyant force. This force acts in the upward direction, perpendicular to the surface of the liquid at any given point within the liquid.
Here are some key points about the direction of the buoyant force:
1. Upward Direction: The buoyant force always acts in the upward direction when an object is submerged in a liquid. It opposes the force of gravity that pulls the object downward.
2. Result of Pressure Differences: The buoyant force arises due to differences in pressure within the liquid. As an object is submerged, the pressure at the bottom is higher than at the top, resulting in a net upward force.
3. Equal to Displaced Liquid: According to Archimedes’ principle, the buoyant force is equal to the weight of the liquid displaced by the immersed object. It is this displaced liquid that exerts an upward force on the object.
4. Determines Buoyancy: The direction and magnitude of the buoyant force are key in determining the buoyancy of an object. If the buoyant force is greater than the object’s weight, it floats; if it’s less, the object sinks; and if it’s equal, the object remains suspended in the liquid.
In summary, the buoyant force always acts in the upward direction when an object is immersed in a liquid. This force is a consequence of the pressure differences within the liquid and plays a significant role in determining whether an object will float, sink, or remain suspended in the liquid.
See lessWhy does a block of plastic released under water come up to the surface of water?
When a block of plastic is released underwater, it ascends to the surface due to the fundamental principles of buoyancy and density. Here's a breakdown of why this happens: 1. Buoyant Force: When an object is submerged in a fluid, it experiences an upward force known as the buoyant force. This forceRead more
When a block of plastic is released underwater, it ascends to the surface due to the fundamental principles of buoyancy and density.
Here’s a breakdown of why this happens:
1. Buoyant Force: When an object is submerged in a fluid, it experiences an upward force known as the buoyant force. This force is equal to the weight of the fluid displaced by the object.
2. Density Difference: Plastic typically has a lower density compared to water. Density signifies how much mass is packed into a certain volume. Since the density of plastic is less than that of water, the plastic block is less dense than the water it displaces.
3. Archimedes’ Principle: This principle states that the buoyant force acting on an object is equivalent to the weight of the fluid it displaces. If the buoyant force is greater than the weight of the object, the object will float or rise.
4. Resultant Force: Given that the plastic block is less dense than water, the buoyant force acting on it is greater than its own weight. Consequently, there is an overall upward force, propelling the block upwards through the water until it reaches the water’s surface.
In essence, the block of plastic ascends to the surface because its density is lower than that of water, resulting in a stronger upward buoyant force as per Archimedes’ principle. This disparity in density causes the plastic block to float and rise towards the water’s surface when submerged.
See less