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An object is thrown up from a planet whose mass is twice that of the earth and radius of the radius of the earth to a height of 50 M find the velocity with which it was thrown at the time taken to reach the maximum height?
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An object is thrown up from a planet whose mass is twice that of the e...
Introduction
To calculate the velocity with which the object was thrown from a planet with twice the mass and radius of Earth, we first need to understand the gravitational acceleration on this planet.
Gravitational Acceleration
- The gravitational acceleration (g) on a planet is given by the formula:
g = G * (M/R^2)
- For Earth:
- Mass (M) = Mass of Earth
- Radius (R) = Radius of Earth
- For the given planet:
- Mass = 2 * Mass of Earth
- Radius = 2 * Radius of Earth
- Thus, the gravitational acceleration on the new planet:
g' = G * (2M / (2R)^2) = G * (2M / 4R^2) = (1/2) * g
This means the gravitational acceleration on this planet is half that of Earth's.
Height and Maximum Velocity
- The maximum height (h) reached by the object is given as 50 m.
- At maximum height, the final velocity (v) becomes zero. Using the kinematic equation:
v^2 = u^2 + 2gh, we can re-arrange it to find initial velocity (u):
- Setting v = 0:
0 = u^2 - 2 * (1/2)g * 50
- Simplifying:
u^2 = g * 50
u = √(g * 50)
Time to Reach Maximum Height
- The time (t) to reach maximum height can be calculated using:
v = u - gt
- Rearranging gives:
t = u/g
Conclusion
- Calculate the values based on the gravitational acceleration of the planet and plug them into the equations to find the velocity and time taken to reach the maximum height.
To calculate the velocity with which the object was thrown from a planet with twice the mass and radius of Earth, we first need to understand the gravitational acceleration on this planet.
Gravitational Acceleration
- The gravitational acceleration (g) on a planet is given by the formula:
g = G * (M/R^2)
- For Earth:
- Mass (M) = Mass of Earth
- Radius (R) = Radius of Earth
- For the given planet:
- Mass = 2 * Mass of Earth
- Radius = 2 * Radius of Earth
- Thus, the gravitational acceleration on the new planet:
g' = G * (2M / (2R)^2) = G * (2M / 4R^2) = (1/2) * g
This means the gravitational acceleration on this planet is half that of Earth's.
Height and Maximum Velocity
- The maximum height (h) reached by the object is given as 50 m.
- At maximum height, the final velocity (v) becomes zero. Using the kinematic equation:
v^2 = u^2 + 2gh, we can re-arrange it to find initial velocity (u):
- Setting v = 0:
0 = u^2 - 2 * (1/2)g * 50
- Simplifying:
u^2 = g * 50
u = √(g * 50)
Time to Reach Maximum Height
- The time (t) to reach maximum height can be calculated using:
v = u - gt
- Rearranging gives:
t = u/g
Conclusion
- Calculate the values based on the gravitational acceleration of the planet and plug them into the equations to find the velocity and time taken to reach the maximum height.
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An object is thrown up from a planet whose mass is twice that of the earth and radius of the radius of the earth to a height of 50 M find the velocity with which it was thrown at the time taken to reach the maximum height?
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An object is thrown up from a planet whose mass is twice that of the earth and radius of the radius of the earth to a height of 50 M find the velocity with which it was thrown at the time taken to reach the maximum height? 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 An object is thrown up from a planet whose mass is twice that of the earth and radius of the radius of the earth to a height of 50 M find the velocity with which it was thrown at the time taken to reach the maximum height? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is thrown up from a planet whose mass is twice that of the earth and radius of the radius of the earth to a height of 50 M find the velocity with which it was thrown at the time taken to reach the maximum height?.
An object is thrown up from a planet whose mass is twice that of the earth and radius of the radius of the earth to a height of 50 M find the velocity with which it was thrown at the time taken to reach the maximum height? 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 An object is thrown up from a planet whose mass is twice that of the earth and radius of the radius of the earth to a height of 50 M find the velocity with which it was thrown at the time taken to reach the maximum height? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is thrown up from a planet whose mass is twice that of the earth and radius of the radius of the earth to a height of 50 M find the velocity with which it was thrown at the time taken to reach the maximum height?.
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