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Period
The time taken for one complete cycle of a periodic motion.
Average Speed
The total distance traveled divided by the total time taken.
Tangential Velocity
The linear velocity of an object moving along a circular path.
Centripetal Acceleration
The acceleration directed towards the center of a circular path, responsible for changing the direction of an object.
Centripetal Force
The net force causing the inward acceleration of an object moving in a circular path.
Universal Law of Gravitation
The law stating that every particle attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Eccentricity
A measure of how much an orbit deviates from being circular; it ranges from 0 (circle) to 1 (parabola).
Kepler’s Third Law
The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.
Kepler’s 1st Law
The orbit of a planet is an ellipse with the sun at one of the two foci.
Kepler’s 2nd Law
A line that connects a planet to the sun sweeps out equal areas in equal times.
Ellipse
A shape formed by a plane intersecting a cone, which has two foci and is defined by its eccentricity.
Centripetal Force Formula
Centripetal Force (Fc) = (mass (m) x velocity^2 (v^2)) / radius (r).
Total Separation Distance
The total distance between two objects in orbit, considering both the radius of the orbits and the distance between their centers.
Vector Diagram
A graphical representation showing the velocity, acceleration, and force vectors acting on an object in circular and elliptical motion.
Centripetal Force Formula
Centripetal Force (Fc) = (mass (m) x velocity^2 (v^2)) / radius (r).
Acceleration Formula
Acceleration (a) = change in velocity (Δv) / time taken (Δt).
Velocity Formula
Velocity (v) = displacement (d) / time (t).
Force Formula
Force (F) = mass (m) x acceleration (a).
Kinetic Energy Formula
Kinetic Energy (KE) = 1/2 x mass (m) x velocity^2 (v^2).
Potential Energy Formula
Potential Energy (PE) = mass (m) x gravitational acceleration (g) x height (h).