Difficulty: Easy
Correct Answer: Centripetal force provided by Earth’s gravity
Explanation:
Introduction / Context:
Orbital mechanics explains how satellites remain in continuous “free fall” around Earth. Understanding which force acts as the required inward pull clarifies many topics in dynamics, from banking of roads to planetary motion.
Given Data / Assumptions:
Concept / Approach:
Uniform circular motion requires a radial inward force equal to m * v^2 / r. In orbital motion, this necessary inward (centripetal) force is supplied by gravity: F_g = G * M_E * m / r^2. The orbital speed adjusts so that the gravitational pull exactly matches the centripetal requirement, keeping the body in orbit rather than falling straight down.
Step-by-Step Solution:
Verification / Alternative check:
Because the satellite is continually “falling” toward Earth while moving tangentially fast enough, the path curves around Earth. No outward “real” force is needed; the so-called centrifugal force is a fictitious force observed only in a rotating frame.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing centrifugal with centripetal; thinking satellites need continuous thrust (they do not for closed orbits, aside from station-keeping adjustments).
Final Answer:
Centripetal force provided by Earth’s gravity
Discussion & Comments