Question: What is the escape velocity from the surface of a planet with mass M and radius R?
Options:
√(2GM/R)
√(GM/R)
√(2R/G)
√(G/R)
Correct Answer: √(2GM/R)
Solution:
Escape velocity is given by v = √(2GM/R).
What is the escape velocity from the surface of a planet with mass M and radius
Practice Questions
Q1
What is the escape velocity from the surface of a planet with mass M and radius R?
√(2GM/R)
√(GM/R)
√(2R/G)
√(G/R)
Questions & Step-by-Step Solutions
What is the escape velocity from the surface of a planet with mass M and radius R?
Step 1: Understand that escape velocity is the speed needed to break free from a planet's gravitational pull.
Step 2: Know that the formula for escape velocity involves the mass of the planet (M) and its radius (R).
Step 3: Recognize that G is the gravitational constant, which is a number that helps us calculate gravitational forces.
Step 4: The formula for escape velocity is v = √(2GM/R). This means you take 2 times the gravitational constant (G) times the mass of the planet (M), and then divide that by the radius of the planet (R).
Step 5: Finally, take the square root of the result from Step 4 to find the escape velocity (v).
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