What is the escape velocity from the surface of a planet with a radius of 3R and
Practice Questions
Q1
What is the escape velocity from the surface of a planet with a radius of 3R and mass 4M?
√(8GM/R)
√(6GM/R)
√(4GM/R)
√(10GM/R)
Questions & Step-by-Step Solutions
What is the escape velocity from the surface of a planet with a radius of 3R and mass 4M?
Step 1: Understand the formula for escape velocity, which is v = √(2GM/R). Here, G is the gravitational constant, M is the mass of the planet, and R is the radius of the planet.
Step 2: Identify the values given in the question. The radius of the planet is 3R and the mass is 4M.
Step 3: Substitute the values into the escape velocity formula. Replace M with 4M and R with 3R in the formula: v = √(2 * G * (4M) / (3R)).
Step 4: Simplify the equation. This gives us v = √(8GM / 3R).
Step 5: The final expression for escape velocity from the surface of the planet is v = √(8GM / 3R).
