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Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the same
- a)momentum
- b)kinetic energy
- c)potential energy
- d)acceleration
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are...
Explanation:
The two spheres are of the same size.
Both the spheres are dropped from the same height.
The height of the Qutab Minar is 72 m.
When the spheres are 1 m above the ground, they have the same:
Acceleration:
Acceleration due to gravity is constant and the same for both spheres. Hence, the acceleration of both the spheres is the same.
The acceleration due to gravity is given by:
g = 9.8 m/s²
Potential Energy:
The potential energy of the spheres when they are 1 m above the ground is given by:
PE = mgh
Where,
m = mass of the sphere
g = acceleration due to gravity
h = height
The mass and height are the same for both spheres. Hence, the potential energy of both the spheres is proportional to their mass. Thus, the potential energy of the 4 kg sphere is twice that of the 2 kg sphere.
Kinetic Energy:
The kinetic energy of the spheres just before they hit the ground is given by:
KE = 1/2 mv²
Where,
m = mass of the sphere
v = velocity
The two spheres are dropped from the same height, so they have the same velocity just before they hit the ground. Thus, the kinetic energy of both the spheres is proportional to their mass. Hence, the kinetic energy of the 4 kg sphere is twice that of the 2 kg sphere.
Momentum:
The momentum of a sphere is given by:
p = mv
Where,
m = mass of the sphere
v = velocity
The two spheres have the same velocity just before they hit the ground, so their momentum is proportional to their mass. Thus, the momentum of the 4 kg sphere is twice that of the 2 kg sphere.
Conclusion:
When the two spheres are 1 m above the ground, they have the same acceleration, potential energy, and kinetic energy. However, their momentum is different and proportional to their mass. Therefore, option D is the correct answer.
The two spheres are of the same size.
Both the spheres are dropped from the same height.
The height of the Qutab Minar is 72 m.
When the spheres are 1 m above the ground, they have the same:
Acceleration:
Acceleration due to gravity is constant and the same for both spheres. Hence, the acceleration of both the spheres is the same.
The acceleration due to gravity is given by:
g = 9.8 m/s²
Potential Energy:
The potential energy of the spheres when they are 1 m above the ground is given by:
PE = mgh
Where,
m = mass of the sphere
g = acceleration due to gravity
h = height
The mass and height are the same for both spheres. Hence, the potential energy of both the spheres is proportional to their mass. Thus, the potential energy of the 4 kg sphere is twice that of the 2 kg sphere.
Kinetic Energy:
The kinetic energy of the spheres just before they hit the ground is given by:
KE = 1/2 mv²
Where,
m = mass of the sphere
v = velocity
The two spheres are dropped from the same height, so they have the same velocity just before they hit the ground. Thus, the kinetic energy of both the spheres is proportional to their mass. Hence, the kinetic energy of the 4 kg sphere is twice that of the 2 kg sphere.
Momentum:
The momentum of a sphere is given by:
p = mv
Where,
m = mass of the sphere
v = velocity
The two spheres have the same velocity just before they hit the ground, so their momentum is proportional to their mass. Thus, the momentum of the 4 kg sphere is twice that of the 2 kg sphere.
Conclusion:
When the two spheres are 1 m above the ground, they have the same acceleration, potential energy, and kinetic energy. However, their momentum is different and proportional to their mass. Therefore, option D is the correct answer.
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Community Answer
Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are...
Acceleration doesn't depend on mass while the other options do
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Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the samea)momentumb)kinetic energyc)potential energyd)accelerationCorrect answer is option 'D'. Can you explain this answer?
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Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the samea)momentumb)kinetic energyc)potential energyd)accelerationCorrect answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the samea)momentumb)kinetic energyc)potential energyd)accelerationCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the samea)momentumb)kinetic energyc)potential energyd)accelerationCorrect answer is option 'D'. Can you explain this answer?.
Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the samea)momentumb)kinetic energyc)potential energyd)accelerationCorrect answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the samea)momentumb)kinetic energyc)potential energyd)accelerationCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the samea)momentumb)kinetic energyc)potential energyd)accelerationCorrect answer is option 'D'. Can you explain this answer?.
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