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An iron sphere of mass 30 kg has the same diameter as an aluminium sphere whose mass is 10.5 kg. The spheres are dropped simultaneously from a cliff. When they are 10 m from the ground, they have the same _______.
- a)acceleration
- b)momentum
- c)potential energy
- d)kinetic energy
Correct answer is option 'A'. Can you explain this answer?
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An iron sphere of mass 30 kg has the same diameter as an aluminium sph...
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An iron sphere of mass 30 kg has the same diameter as an aluminium sph...
Acceleration
Acceleration is directly related to the force acting on an object and its mass. In this scenario, both spheres experience the same acceleration due to gravity (9.8 m/s^2) regardless of their mass. This means that when they are 10 m from the ground, they will have the same acceleration.
Momentum
Momentum is the product of an object's mass and its velocity. Since the spheres are dropped from the same height and experience the same acceleration, they will have the same velocity at any given point in time, including when they are 10 m from the ground. Therefore, they will also have the same momentum at that point.
Potential Energy
Potential energy is dependent on the height of an object above the ground and its mass. In this case, the potential energy of an object is given by the formula PE = mgh, where m is mass, g is acceleration due to gravity, and h is the height. Since both spheres are at the same height (10 m from the ground), their potential energy will be the same regardless of their mass.
Kinetic Energy
Kinetic energy is dependent on the mass and velocity of an object. Since both spheres have the same velocity when they are 10 m from the ground, they will also have the same kinetic energy at that point.
Therefore, when the iron and aluminium spheres are 10 m from the ground, they have the same acceleration, momentum, potential energy, and kinetic energy.
Acceleration is directly related to the force acting on an object and its mass. In this scenario, both spheres experience the same acceleration due to gravity (9.8 m/s^2) regardless of their mass. This means that when they are 10 m from the ground, they will have the same acceleration.
Momentum
Momentum is the product of an object's mass and its velocity. Since the spheres are dropped from the same height and experience the same acceleration, they will have the same velocity at any given point in time, including when they are 10 m from the ground. Therefore, they will also have the same momentum at that point.
Potential Energy
Potential energy is dependent on the height of an object above the ground and its mass. In this case, the potential energy of an object is given by the formula PE = mgh, where m is mass, g is acceleration due to gravity, and h is the height. Since both spheres are at the same height (10 m from the ground), their potential energy will be the same regardless of their mass.
Kinetic Energy
Kinetic energy is dependent on the mass and velocity of an object. Since both spheres have the same velocity when they are 10 m from the ground, they will also have the same kinetic energy at that point.
Therefore, when the iron and aluminium spheres are 10 m from the ground, they have the same acceleration, momentum, potential energy, and kinetic energy.
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An iron sphere of mass 30 kg has the same diameter as an aluminium sph...
To determine what properties the iron and aluminium spheres have in common when they are 10 m from the ground, we can analyze the following:
1. Acceleration:
- When an object is in free fall near the surface of the Earth, it experiences a constant acceleration due to gravity.
- The acceleration due to gravity is the same for all objects regardless of their mass or composition.
- Therefore, both the iron and aluminium spheres will have the same acceleration when they are 10 m from the ground.
- Therefore, the correct answer is A: acceleration.
2. Momentum:
- Momentum is defined as the product of an object's mass and velocity.
- Since the spheres are dropped simultaneously, they will have the same initial velocity.
- However, the iron sphere has a greater mass than the aluminium sphere.
- Therefore, they will have different momenta at any given point during their fall.
- Therefore, the correct answer is not B: momentum.
3. Potential Energy:
- Potential energy is the energy possessed by an object due to its position relative to other objects.
- The potential energy of an object in free fall depends on its mass, height, and the acceleration due to gravity.
- Since the spheres have different masses, they will have different potential energies at any given height.
- Therefore, the correct answer is not C: potential energy.
4. Kinetic Energy:
- Kinetic energy is the energy possessed by an object due to its motion.
- It is given by the equation KE = 0.5 * mass * velocity^2.
- Since the spheres are dropped simultaneously, they will have the same initial velocity.
- However, the iron sphere has a greater mass than the aluminium sphere.
- Therefore, they will have different kinetic energies at any given point during their fall.
- Therefore, the correct answer is not D: kinetic energy.
In conclusion, when the iron and aluminium spheres are 10 m from the ground, they have the same acceleration. Therefore, the correct answer is A: acceleration.
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An iron sphere of mass 30 kg has the same diameter as an aluminium sphere whose mass is 10.5 kg. The spheres are dropped simultaneously from a cliff. When they are 10 m from the ground, they have the same _______. a)accelerationb)momentumc)potential energyd)kinetic energyCorrect answer is option 'A'. Can you explain this answer?
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