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If the stone has a mass of 5 kilograms and is elevated to a height of 10 meters, solve the following a. potential energy of the block b. potential energy of the block if it drops by 4 meters c. velocity of the block at this new elevation d. final velocity of the block?
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If the stone has a mass of 5 kilograms and is elevated to a height of ...
Calculating Potential Energy
To calculate the potential energy of the block, we can use the formula:
Potential Energy = mass x gravity x height
Where:
- Mass = 5 kilograms
- Gravity = 9.8 m/s^2 (acceleration due to gravity)
- Height = 10 meters
Plugging in these values, we get:
Potential Energy = 5 x 9.8 x 10
Potential Energy = 490 Joules
Therefore, the potential energy of the block is 490 Joules.
Calculating Potential Energy at Lower Height
To calculate the potential energy of the block if it drops by 4 meters, we can use the same formula:
Potential Energy = mass x gravity x height
Where:
- Mass = 5 kilograms
- Gravity = 9.8 m/s^2 (acceleration due to gravity)
- Height = 6 meters (10 meters - 4 meters)
Plugging in these values, we get:
Potential Energy = 5 x 9.8 x 6
Potential Energy = 294 Joules
Therefore, the potential energy of the block if it drops by 4 meters is 294 Joules.
Calculating Velocity at Lower Height
To calculate the velocity of the block at this new elevation, we can use the formula:
Velocity = sqrt(2 x gravity x height)
Where:
- Gravity = 9.8 m/s^2 (acceleration due to gravity)
- Height = 6 meters
Plugging in these values, we get:
Velocity = sqrt(2 x 9.8 x 6)
Velocity = 10.68 m/s
Therefore, the velocity of the block at this new elevation is 10.68 m/s.
Calculating Final Velocity
To calculate the final velocity of the block, we need to know the distance it travels after dropping 4 meters. Let's assume that it travels an additional 6 meters before coming to a stop.
Using the formula:
Final Velocity^2 = Initial Velocity^2 + 2 x acceleration x distance
Where:
- Initial Velocity = 10.68 m/s
- Acceleration = -9.8 m/s^2 (acceleration due to gravity, negative because it's slowing down)
- Distance = 6 meters
Plugging in these values, we get:
Final Velocity^2 = (10.68)^2 + 2 x (-9.8) x 6
Final Velocity^2 = 113.46
Final Velocity = 10.65 m/s (rounded to two decimal places)
Therefore, the final velocity of the block is 10.65 m/s.
To calculate the potential energy of the block, we can use the formula:
Potential Energy = mass x gravity x height
Where:
- Mass = 5 kilograms
- Gravity = 9.8 m/s^2 (acceleration due to gravity)
- Height = 10 meters
Plugging in these values, we get:
Potential Energy = 5 x 9.8 x 10
Potential Energy = 490 Joules
Therefore, the potential energy of the block is 490 Joules.
Calculating Potential Energy at Lower Height
To calculate the potential energy of the block if it drops by 4 meters, we can use the same formula:
Potential Energy = mass x gravity x height
Where:
- Mass = 5 kilograms
- Gravity = 9.8 m/s^2 (acceleration due to gravity)
- Height = 6 meters (10 meters - 4 meters)
Plugging in these values, we get:
Potential Energy = 5 x 9.8 x 6
Potential Energy = 294 Joules
Therefore, the potential energy of the block if it drops by 4 meters is 294 Joules.
Calculating Velocity at Lower Height
To calculate the velocity of the block at this new elevation, we can use the formula:
Velocity = sqrt(2 x gravity x height)
Where:
- Gravity = 9.8 m/s^2 (acceleration due to gravity)
- Height = 6 meters
Plugging in these values, we get:
Velocity = sqrt(2 x 9.8 x 6)
Velocity = 10.68 m/s
Therefore, the velocity of the block at this new elevation is 10.68 m/s.
Calculating Final Velocity
To calculate the final velocity of the block, we need to know the distance it travels after dropping 4 meters. Let's assume that it travels an additional 6 meters before coming to a stop.
Using the formula:
Final Velocity^2 = Initial Velocity^2 + 2 x acceleration x distance
Where:
- Initial Velocity = 10.68 m/s
- Acceleration = -9.8 m/s^2 (acceleration due to gravity, negative because it's slowing down)
- Distance = 6 meters
Plugging in these values, we get:
Final Velocity^2 = (10.68)^2 + 2 x (-9.8) x 6
Final Velocity^2 = 113.46
Final Velocity = 10.65 m/s (rounded to two decimal places)
Therefore, the final velocity of the block is 10.65 m/s.
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If the stone has a mass of 5 kilograms and is elevated to a height of 10 meters, solve the following a. potential energy of the block b. potential energy of the block if it drops by 4 meters c. velocity of the block at this new elevation d. final velocity of the block?
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If the stone has a mass of 5 kilograms and is elevated to a height of 10 meters, solve the following a. potential energy of the block b. potential energy of the block if it drops by 4 meters c. velocity of the block at this new elevation d. final velocity of the block? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If the stone has a mass of 5 kilograms and is elevated to a height of 10 meters, solve the following a. potential energy of the block b. potential energy of the block if it drops by 4 meters c. velocity of the block at this new elevation d. final velocity of the block? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the stone has a mass of 5 kilograms and is elevated to a height of 10 meters, solve the following a. potential energy of the block b. potential energy of the block if it drops by 4 meters c. velocity of the block at this new elevation d. final velocity of the block?.
If the stone has a mass of 5 kilograms and is elevated to a height of 10 meters, solve the following a. potential energy of the block b. potential energy of the block if it drops by 4 meters c. velocity of the block at this new elevation d. final velocity of the block? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If the stone has a mass of 5 kilograms and is elevated to a height of 10 meters, solve the following a. potential energy of the block b. potential energy of the block if it drops by 4 meters c. velocity of the block at this new elevation d. final velocity of the block? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the stone has a mass of 5 kilograms and is elevated to a height of 10 meters, solve the following a. potential energy of the block b. potential energy of the block if it drops by 4 meters c. velocity of the block at this new elevation d. final velocity of the block?.
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