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A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!?
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A balloon of total mass 1000kg floats motionless over the earth's surf...
Solution:
We know that when an object is placed in a fluid (air in this case), it experiences a buoyant force which is equal to the weight of the fluid displaced by the object. This buoyant force acts in the upward direction and is responsible for the balloon's ability to float in the air.
Given, the mass of the balloon (m1) = 1000 kg
Mass of sand blasted (m2) = 100 kg
Total mass of the balloon and the sand (m1 + m2) = 1100 kg
When the sand is thrown overboard, it reduces the total mass of the system, which reduces the weight of the balloon. Hence, the buoyant force acting on the balloon increases, causing it to accelerate upwards.
Let's calculate the buoyant force acting on the balloon before and after the sand is thrown overboard.
Buoyant force before sand is thrown overboard = Weight of the displaced air = m1g, where g is the acceleration due to gravity (9.8 m/s^2)
Buoyant force after sand is thrown overboard = Weight of the displaced air = (m1 - m2)g
Net force acting on the balloon = Buoyant force - Weight of the balloon
Before the sand is thrown overboard, the net force is zero as the balloon is motionless. After the sand is thrown overboard, the net force becomes:
Net force = (m1 - m2)g - m1g
= 0.1m1g
This net force is responsible for the upward acceleration of the balloon.
Acceleration = Net force / Total mass of the system
= 0.1m1g / (m1 + m2)
= 0.1 x 1000 x 9.8 / 1100
= 1.09 m/s^2
Therefore, the acceleration of the balloon after 100 kg of sand is thrown overboard is 1.09 m/s^2.
We know that when an object is placed in a fluid (air in this case), it experiences a buoyant force which is equal to the weight of the fluid displaced by the object. This buoyant force acts in the upward direction and is responsible for the balloon's ability to float in the air.
Given, the mass of the balloon (m1) = 1000 kg
Mass of sand blasted (m2) = 100 kg
Total mass of the balloon and the sand (m1 + m2) = 1100 kg
When the sand is thrown overboard, it reduces the total mass of the system, which reduces the weight of the balloon. Hence, the buoyant force acting on the balloon increases, causing it to accelerate upwards.
Let's calculate the buoyant force acting on the balloon before and after the sand is thrown overboard.
Buoyant force before sand is thrown overboard = Weight of the displaced air = m1g, where g is the acceleration due to gravity (9.8 m/s^2)
Buoyant force after sand is thrown overboard = Weight of the displaced air = (m1 - m2)g
Net force acting on the balloon = Buoyant force - Weight of the balloon
Before the sand is thrown overboard, the net force is zero as the balloon is motionless. After the sand is thrown overboard, the net force becomes:
Net force = (m1 - m2)g - m1g
= 0.1m1g
This net force is responsible for the upward acceleration of the balloon.
Acceleration = Net force / Total mass of the system
= 0.1m1g / (m1 + m2)
= 0.1 x 1000 x 9.8 / 1100
= 1.09 m/s^2
Therefore, the acceleration of the balloon after 100 kg of sand is thrown overboard is 1.09 m/s^2.
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A balloon of total mass 1000kg floats motionless over the earth's surf...
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A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!?
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A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!?.
A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!?.
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A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!?, a detailed solution for A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!? has been provided alongside types of A balloon of total mass 1000kg floats motionless over the earth's surface. If 100kg of sand blast are thrown over board, the balloon starts to rise with an acceleration of? 1. 10 2. 9.8 3. 1.09 4. None. Answer is 3. Plz explain how!? theory, EduRev gives you an
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