Circular Motion and Gravitation Review

Front

What is the formula for calculating the speed of an object moving in a circular path?

Back

Speed (v) = Distance (d) / Time (t). For circular motion, d = circumference = 2πr.

Front

What is the gravitational force between two objects?

Back

The gravitational force (F) is given by Newton's law of universal gravitation: F = G * (m1 * m2) / r^2, where G is the gravitational constant.

Front

How does the radius of a circular path affect the speed of an object moving in that path?

Back

For a constant speed, a larger radius results in a lower centripetal acceleration, while a smaller radius increases the centripetal acceleration.

Front

What is centripetal force and how is it calculated?

Back

Centripetal force (Fc) is the net force causing the centripetal acceleration of an object in circular motion. Fc = (m * v^2) / r.

Front

What happens to the gravitational force between two objects if the distance between them is doubled?

Back

The gravitational force becomes 1/4 of its original value, as it is inversely proportional to the square of the distance.

Front

Define centripetal acceleration.

Back

Centripetal acceleration (a_c) is the acceleration directed towards the center of a circular path, calculated as a_c = v^2 / r.

Front

What is the relationship between mass and gravitational force?

Back

Gravitational force is directly proportional to the product of the masses of the two objects.

Front

How do you calculate the mass of an object using centripetal force?

Back

Rearranging the centripetal force formula: m = (Fc * r) / v^2.

Front

What is the significance of the gravitational constant (G)?

Back

G is a proportionality constant in Newton's law of universal gravitation, approximately equal to 6.674 x 10^-11 N(m/kg)^2.

Front

Explain the concept of uniform circular motion.

Back

Uniform circular motion occurs when an object moves in a circular path at a constant speed, resulting in a constant change in velocity due to direction change.