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An iron sphere of mass 10 kg has the same diameter as an aluminium sphere of mass is 3.5 kg. Both spheres are dropped simultaneously from a tower. When they are 10 m above the ground, they have the same?
- a)acceleration
- b)momenta
- c)potential energy
- d)kinetic energy
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
An iron sphere of mass 10 kg has the same diameter as an aluminium sph...
Explanation:
The question states that an iron sphere and an aluminum sphere, with different masses, are dropped simultaneously from a tower. When they are at a height of 10 m above the ground, they have the same value for a certain quantity.
When objects fall freely near the surface of the Earth, they experience a constant acceleration due to gravity. This acceleration is denoted by the letter "g" and is approximately equal to 9.8 m/s².
Acceleration:
The acceleration due to gravity is the same for all objects near the surface of the Earth, regardless of their mass or composition. Therefore, both the iron sphere and the aluminum sphere will experience the same acceleration as they fall towards the ground. This is why the correct answer is option 'A'.
Momenta:
The momentum of an object is given by the product of its mass and velocity. Since the spheres are dropped from rest, they will have different velocities at any given height. Therefore, they will have different momenta when they are at a height of 10 m above the ground.
Potential Energy:
The potential energy of an object is given by the product of its mass, the acceleration due to gravity, and its height above a reference level. Since the mass and height are the same for both spheres, their potential energies will be different because they have different masses.
Kinetic Energy:
The kinetic energy of an object is given by the formula ½mv², where m is the mass of the object and v is its velocity. Since the spheres are dropped from rest, their velocities will be different at any given height. Therefore, their kinetic energies will also be different when they are at a height of 10 m above the ground.
In summary, when the iron and aluminum spheres are at a height of 10 m above the ground, they have the same acceleration. However, their momenta, potential energies, and kinetic energies will be different due to their different masses.
The question states that an iron sphere and an aluminum sphere, with different masses, are dropped simultaneously from a tower. When they are at a height of 10 m above the ground, they have the same value for a certain quantity.
When objects fall freely near the surface of the Earth, they experience a constant acceleration due to gravity. This acceleration is denoted by the letter "g" and is approximately equal to 9.8 m/s².
Acceleration:
The acceleration due to gravity is the same for all objects near the surface of the Earth, regardless of their mass or composition. Therefore, both the iron sphere and the aluminum sphere will experience the same acceleration as they fall towards the ground. This is why the correct answer is option 'A'.
Momenta:
The momentum of an object is given by the product of its mass and velocity. Since the spheres are dropped from rest, they will have different velocities at any given height. Therefore, they will have different momenta when they are at a height of 10 m above the ground.
Potential Energy:
The potential energy of an object is given by the product of its mass, the acceleration due to gravity, and its height above a reference level. Since the mass and height are the same for both spheres, their potential energies will be different because they have different masses.
Kinetic Energy:
The kinetic energy of an object is given by the formula ½mv², where m is the mass of the object and v is its velocity. Since the spheres are dropped from rest, their velocities will be different at any given height. Therefore, their kinetic energies will also be different when they are at a height of 10 m above the ground.
In summary, when the iron and aluminum spheres are at a height of 10 m above the ground, they have the same acceleration. However, their momenta, potential energies, and kinetic energies will be different due to their different masses.
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Community Answer
An iron sphere of mass 10 kg has the same diameter as an aluminium sph...
Yes, because acceleration of an object due to gravity, when under free fall, is not affected by it's mass as it's equation states and all bodies of varying mass and with same shape and size, fall with the same rate towards the Earth irrespective of their mass.
g=(GM)/R^2
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An iron sphere of mass 10 kg has the same diameter as an aluminium sphere of mass is 3.5 kg. Both spheres are dropped simultaneously from a tower. When they are 10 m above the ground, they have the same?a)acceleration b)momentac)potential energyd)kinetic energyCorrect answer is option 'A'. Can you explain this answer?
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