What is the gravitational field strength at a distance of 4R from the center of a planet of mass M and radius R?
Practice Questions
1 question
Q1
What is the gravitational field strength at a distance of 4R from the center of a planet of mass M and radius R?
GM/R²
GM/4R²
GM/16R²
GM/8R²
g = GM/r²; at 4R, g = GM/(4R)² = GM/16R².
Questions & Step-by-step Solutions
1 item
Q
Q: What is the gravitational field strength at a distance of 4R from the center of a planet of mass M and radius R?
Solution: g = GM/r²; at 4R, g = GM/(4R)² = GM/16R².
Steps: 5
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 (4R) into the formula. This means we replace r with 4R in the formula g = GM/r².
Step 4: Calculate the gravitational field strength at this distance. So, g = GM/(4R)².
Step 5: Simplify the equation. (4R)² is equal to 16R², so g = GM/16R².
