What is the gravitational field strength at a distance of 4R from the center of
Practice Questions
Q1
What is the gravitational field strength at a distance of 4R from the center of a planet of radius R?
G/16
G/4
G/2
G
Questions & Step-by-Step Solutions
What is the gravitational field strength at a distance of 4R from the center of a planet of radius R?
Step 1: Understand the formula for gravitational field strength, which is g = GM/r², where G is the gravitational constant, M is the mass of the planet, and r is the distance from the center of the planet.
Step 2: Identify the distance from the center of the planet. In this case, the distance is 4R, where R is the radius of the planet.
Step 3: Substitute the distance into the formula. Replace r with 4R in the formula: g = GM/(4R)².
Step 4: Calculate (4R)². This equals 16R².
Step 5: Substitute 16R² back into the formula: g = GM/16R².
Step 6: Simplify the expression. The gravitational field strength at a distance of 4R is g = G/16.
