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Showing 24 of 65 formulas Page 1 of 3

Work-Energy Theorem

$$W = \Delta K = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2$$

The work done by the net force on a particle equals the change in its kinetic energy.

📖 Physics 📚 Work, Energy, and Power

Hooke's Law

The force needed to extend or compress a spring is proportional to the distance.

📖 Physics 📚 Elasticity

Centripetal Acceleration

$$a_c = \frac{v^2}{r}$$

The acceleration directed toward the center of a circular path.

📖 Physics 📚 Circular Motion

Torque Formula

$$ au = rF sin heta$$

The rotational equivalent of linear force.

📖 Physics 📚 Rotational Motion

Newton's Second Law

Relates force with mass and acceleration: $$F = ma$$

📖 Physics 📚 Laws of Motion

Kinetic Energy

$$KE = \frac{1}{2}mv^2$$

Energy due to motion: $$KE = \frac{1}{2}mv^2$$

📖 Physics 📚 Work Energy

Work Done

$$W = Fd\cos\theta$$

Work done by force

📖 Physics 📚 Work Energy

Momentum

Momentum of object

📖 Physics 📚 Momentum

Gravitational Force

$$F = G\frac{m_1 m_2}{r^2}$$

Force between masses

📖 Physics 📚 Gravitation

Power

$$P = \frac{W}{t}$$

📖 Physics 📚 Power

Centripetal Force

$$F_c = \frac{mv^2}{r}$$

The net force required to keep an object moving in a circular path.

📖 Physics 📚 Circular Motion

Gravitational Potential Energy

Energy stored in an object due to its vertical position or height.

📖 Physics 📚 Energy

Potential Energy

Gravitational potential energy: $$U = mgh$$

📖 Physics 📚 Work Energy

Time Period of Simple Pendulum

$$T = 2\pi \sqrt{\frac{L}{g}}$$

Time period of a simple pendulum: $$T = 2\pi \sqrt{\frac{L}{g}}$$

📖 Physics 📚 Oscillations

Work Done by Constant Force

$$W = Fd \cos \theta$$

The energy transferred to or from an object via the application of force along a displacement.

📖 Physics 📚 Work and Energy

Centripetal Force (Angular Form)

$$F_c = m\omega^2r$$

Expresses centripetal force in terms of angular velocity.

📖 Physics 📚 Circular Motion

Young's Modulus

$$Y = \frac{FL_0}{A\Delta L}$$

Measures the stiffness of a solid material.

📖 Physics 📚 Elasticity

Angular Momentum of a Point Mass

$$L = mvr \sin \theta$$

The rotational equivalent of linear momentum for a particle.

📖 Physics 📚 Rotational Motion

Terminal Velocity

$$v_t = \sqrt{\frac{2mg}{\rho AC_d}}$$

The constant speed reached by a falling object when the drag force equals the gravitational force.

📖 Physics 📚 Dynamics

Kinetic Energy of Rotation

$$K_{rot} = \frac{1}{2}I\omega^2$$

Energy of a rigid body due to its rotation about an axis.

📖 Physics 📚 Rotational Motion

Escape Speed from Earth

$$v = \sqrt{2gr}$$

A simpler form of escape velocity using surface gravity.

📖 Physics 📚 Gravitation

Work-Energy Theorem (Rotational)

$$W = \Delta K_{\text{rot}} = \frac{1}{2} I \omega_f^2 - \frac{1}{2} I \omega_i^2$$

The net work done by all torques acting on a rigid body is equal to the change in its rotational kinetic energy.

📖 Physics 📚 Rotation

Elastic Potential Energy

$$U = \frac{1}{2} k x^2$$

Energy stored as a result of deforming an elastic object.

📖 Physics 📚 Energy

Average Acceleration

$$a_{avg} = \frac{v_f - v_i}{t_f - t_i}$$

The rate at which an object changes its velocity over a period of time.

📖 Physics 📚 Kinematics

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