Circular Motion and Gravitation
Two objects have masses and , and their centers are separated by a distance of . What is the gravitational force between them? (Use )
3.337 \times 10^{-10} ,\text{N}
6.674 \times 10^{-9} ,\text{N}
1.6685 \times 10^{-9} ,\text{N}
9.8 ,\text{N}
If the mass of one object is doubled and the distance between two objects is also doubled, how does the gravitational force between them change?
The gravitational force is doubled.
The gravitational force is halved.
The gravitational force remains the same.
The gravitational force is quadrupled.
Which of the following statements best describes the difference between inertial and gravitational mass?
Inertial mass measures an object's resistance to acceleration, while gravitational mass measures how strongly an object interacts with gravity.
Inertial mass measures how strongly an object interacts with gravity, while gravitational mass measures an object's resistance to acceleration.
Inertial mass is measured in kilograms, while gravitational mass is measured in Newtons.
Inertial mass and gravitational mass are completely unrelated concepts.
An object is moving in a circle with a radius of at a constant speed of . What is the centripetal acceleration of the object?
2 ,\text{m/s}^2
4 ,\text{m/s}^2
8 ,\text{m/s}^2
16 ,\text{m/s}^2
An object is moving in uniform circular motion. Which of the following statements is true about the direction of its velocity vector?
The velocity vector points towards the center of the circle.
The velocity vector is tangent to the circle.
The velocity vector points away from the center of the circle.
The velocity vector is zero.
A block of mass slides down an inclined plane that is rotating horizontally with angular velocity . The coefficient of static friction between the block and the inclined plane is . Derive an expression for the maximum distance from the center of rotation such that the block does not slide down the plane.
A roller coaster car goes around a vertical loop. Draw a free-body diagram for the car at the top of the loop.
A dot with an arrow pointing downwards representing weight.
A dot with an arrow pointing upwards representing the normal force.
A dot with two arrows pointing downwards representing weight and the normal force.
A dot with two arrows, one pointing downwards representing weight and the other pointing upwards representing the normal force.

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A rotating platform has a constant angular acceleration of . If its initial angular velocity is , what is its angular displacement after time ?
Which of the following is NOT a fundamental force?
Gravitational force
Electromagnetic force
Tension force
Strong force
Three identical masses () are placed at the vertices of an equilateral triangle with side length . What is the magnitude of the gravitational force on one mass due to the other two?