Rotational Motion + Gravity

Multiple Choice

Which of the following best describes the relationship between tangential velocity and radius in circular motion?

• As tangential velocity increases, radius must decrease for the same centripetal force.

• Tangential velocity and radius are unrelated in circular motion.

• As radius increases, tangential velocity must decrease for the same centripetal force.

• Both tangential velocity and radius increase together for the same centripetal force.

Multiple Choice

What is the direction of centripetal acceleration for an object in uniform circular motion?

• Toward the center of the circle

• Away from the center of the circle

• Tangent to the circle

• In the direction of velocity

Multiple Choice

Which of the following formulas correctly represents the centripetal acceleration?

• a = v^2/r

• a = r/v^2

• a = v/r^2

• a = r^2/v

Multiple Choice

Which of the following statements about centripetal force are correct?

• It is the sum of all forces acting toward the center.

• It is an extra force acting on the object.

• It always points away from the center.

• It is only due to gravity.

Multiple Choice

If two people are on a rotating platform at different distances from the center, but both have the same angular velocity, who will have the greater tangential velocity?

• The person closer to the center

• The person farther from the center

• Both have the same tangential velocity

• Tangential velocity does not depend on distance

Multiple Select

Which of the following are components that affect gravitational force, as described in the lesson objectives?

• Radius

• Mass

• Acceleration

• Temperature

Multiple Select

Based on the objectives and the concept of vector fields, which of the following statements are true?

• Vector fields can represent gravitational forces.

• The direction of a vector field shows the direction of the force.

• Vector fields only apply to electric charges.

• The magnitude of a vector field can change with position.

Multiple Choice

Which of the following is NOT one of the four fundamental forces shown in the image?

• Gravitation

• Electromagnetism

• Friction

• Strong Interaction

Multiple Choice

According to the Law of Universal Gravitation, what happens to the gravitational force if the distance between two objects is doubled?

• It becomes four times stronger

• It becomes half as strong

• It becomes one-fourth as strong

• It remains the same

Multiple Choice

A planet with half Earth’s mass and half Earth’s radius is discovered. What would an astronaut who weighs 800N on Earth weigh on the planet?

• 100 N

• 200 N

• 400 N

• 800 N

• 1600 N

Multiple Choice

A new planet is discovered that has twice the Earth’s mass and twice the Earth’s radius. On the surface of this new planet, a person who weighs 500N on Earth would experience a gravitational force of...

• 125 N

• 250 N

• 500 N

• 1000 N

• 2000 N

Multiple Choice

What is the gravitational field strength of the moon at a distance of 2R from its center, given that the field strength at R is g_R?

• g_R/4

• g_R/2

• 2g_R

• 4g_R

Multiple Choice

Which physical principles are illustrated by the motion of the roller coaster in the image?

• Conservation of energy and centripetal force

• Electromagnetic induction

• Thermal expansion

• Buoyancy

Multiple Choice

How do radius and velocity affect centripetal force?

• Radius increases centripetal force, velocity decreases it

• Both radius and velocity increase centripetal force

• Radius decreases centripetal force, velocity increases it

• Both radius and velocity decrease centripetal force