The image shows an asteroid named Ida and its moon, Dactyl. The question asks why Dactyl orbits Ida. The possible answers are: A. the magnetic force field that defines the asteroid belt. B. small differences in the objects' rocky-iron compositions. C. electrical energy transferred between the two objects. D. the mutual gravitational attraction between the two objects.

Applied MathematicsPhysicsGravitational ForceOrbital MechanicsCelestial Bodies
2025/4/26

1. Problem Description

The image shows an asteroid named Ida and its moon, Dactyl. The question asks why Dactyl orbits Ida. The possible answers are:
A. the magnetic force field that defines the asteroid belt.
B. small differences in the objects' rocky-iron compositions.
C. electrical energy transferred between the two objects.
D. the mutual gravitational attraction between the two objects.

2. Solution Steps

The problem involves a celestial body (Dactyl) orbiting another celestial body (Ida). Orbit is caused by a force of attraction.
A. Magnetic forces are usually not the primary factor in orbits of large objects like asteroids and moons. Also, the asteroid belt is a collection of asteroids, not something defined by a magnetic field.
B. Differences in composition may contribute to differences in mass, which affects gravitational attraction, but the composition itself is not the direct cause of the orbit.
C. Electrical energy transfer is not the reason for orbital motion.
D. Gravity is the force of attraction between any two objects with mass. The greater the mass of the objects, the greater the force of attraction. The mutual gravitational attraction between Ida and Dactyl is the reason Dactyl orbits Ida.

3. Final Answer

D. the mutual gravitational attraction between the two objects.

Related problems in "Applied Mathematics"

The problem asks us to fill in the blanks with either $g$ (grams) or $kg$ (kilograms) to make the st...

Units of MeasurementWeightConversion
2025/7/17

Warda walks at an average speed of 3 km/hr for 45 minutes before running for half an hour at a certa...

Word ProblemDistanceSpeedTimeRateLinear Equations
2025/7/16

Determine the vertical displacement at the point $I$ of the given structure, due to the effect of th...

Structural AnalysisDeflectionBeam TheoryVirtual WorkEngineering Mechanics
2025/7/16

The problem asks to determine the vertical displacement at point I (which I assume is at the top of ...

Structural MechanicsCastigliano's TheoremBeam BendingStrain EnergyDeflectionIntegration
2025/7/16

The problem asks to determine the vertical displacement at a point "I" (likely implied as the midpoi...

Structural MechanicsBeam DeflectionFlexural RigidityUniformly Distributed Load (UDL)ElasticityVirtual WorkCastigliano's Theorem
2025/7/16

The problem asks us to determine the vertical displacement at a point I (assumed to be a point withi...

Structural MechanicsFinite Element AnalysisVirtual WorkBending MomentDeflectionEngineering
2025/7/16

The problem describes a lottery win of $1,000,000 and presents several options for receiving the pri...

Financial MathematicsPresent ValueAnnuityPerpetuityDiscount Rate
2025/7/16

The problem consists of two parts: (a) An aircraft flies at different speeds and bearings for certai...

TrigonometryDifferentiationDistanceBearingAircraft Navigation
2025/7/15

The problem presents a line graph showing the distance of taxi driver Joe from his home over a 12-ho...

Graph InterpretationDistanceRate of ChangeReal-World Application
2025/7/15

The problem asks to solve a circuit using Kirchhoff's laws. The circuit consists of two voltage sour...

Circuit AnalysisKirchhoff's LawsThevenin's TheoremNorton's TheoremElectrical Engineering
2025/7/14