Calculus-based AP Physics C mechanics concepts including rotational dynamics and gravitation, beyond the algebra-based AP Physics 1 scope.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- Write the definition of instantaneous velocity using calculus.
- v = dx/dt, the derivative of position with respect to time
- Write the definition of instantaneous acceleration using calculus.
- a = dv/dt = d2x/dt2, the derivative of velocity with respect to time
- If you know velocity v(t), how do you find position x(t)?
- Integrate: x = integral of v dt + x_0
- If you know acceleration a(t), how do you find velocity v(t)?
- Integrate: v = integral of a dt + v_0
- State the work-energy theorem.
- Net work done on an object equals its change in kinetic energy: W_net = delta KE
- Write Newton's law of universal gravitation.
- F = GMm/r2, where G is gravitational constant, M and m are masses, r is distance
- Write gravitational potential energy in the general form.
- U = -GMm/r, taking U = 0 at r = infinity
- Define escape velocity.
- Minimum speed to escape a body's gravitational field without further propulsion
- Relate escape velocity to orbital velocity.
- v_escape = sqrt(2) times v_orbital
- State Kepler's third law for orbital motion.
- T2 = (4*pi2/GM)*r3, or T2 proportional to r3
- Define torque using force and position vector.
- tau = r cross F = rF sin(theta), where theta is angle between r and F
- Define moment of inertia for a point mass distribution.
- I = sum of (m_i * r_i2) for each mass element
- State the parallel axis theorem.
- I_parallel = I_cm + M*d2, where d is distance between parallel axes
- Write the formula for rotational kinetic energy.
- KE_rot = (1/2)*I*omega2
- Define angular momentum for a point particle.
- L = r cross p = r cross (mv) = mrv sin(theta)