1-D Motion with Constant Acceleration Calculator Calculate the final velocity and displacement for an object moving with constant acceleration using: \[ v = u + at \quad \text{and} \quad s = ut + \frac{1}{2}at^2. \] * Enter the initial velocity \( u \) (m/s), acceleration \( a \) (m/s²), and time \( t \) (s) […]
Read MoreHead-on Inelastic Collision Final Velocity Calculator Head-on Inelastic Collision Final Velocity Calculator Calculate the final velocity after a head-on inelastic collision using: \[ v_{f} = \frac{m_1v_1 + m_2v_2}{m_1+m_2} \] * Enter masses in kilograms (kg) and velocities in meters per second (m/s). Use sign conventions to indicate direction. Step 1: Enter Parameters Mass \( m_1 […]
Read MoreFinal Velocity for Uniform Acceleration Calculator Final Velocity for Uniform Acceleration Calculator Calculate the final velocity using the equation: \[ v = u + at \] where \( u \) is the initial velocity, \( a \) is the acceleration, and \( t \) is the time. * Enter the values in SI units: velocity […]
Read MoreFinal Velocity of a Rough Block on a Fixed Wedge Calculator Final Velocity of a Rough Block on a Fixed Wedge Calculator When a rough block slides down a fixed wedge, some energy is lost to friction. The energy balance is given by: \[ mgh = \frac{1}{2}mv^2 + \mu\,mg\,h\cot\theta \] which leads to: \[ v […]
Read MoreFinal Velocity of a Block on a Fixed Wedge Calculator Final Velocity of a Block on a Fixed Wedge Calculator When a block slides down a frictionless, fixed wedge, the gravitational potential energy lost from a vertical height \( h \) is completely converted into kinetic energy. This gives: \[ v = \sqrt{2gh} \] * […]
Read MoreFinal Velocity of a Block on a Movable Wedge Calculator Final Velocity of a Block on a Movable Wedge Calculator Calculate the final velocity of a smooth block sliding down a movable frictionless wedge. The derived formula is: \[ v = \sqrt{\frac{2gh\,(m+M)}{(m+M)\sin^2\theta+M\cos^2\theta}}\,\sqrt{\sin^2\theta+\left(\frac{M}{m+M}\cos\theta\right)^2} \] * Enter mass of the block \(m\) (kg), mass of the wedge […]
Read MoreFinal Velocity of a Solid Sphere Rolling Down a Height Calculator Final Velocity of a Solid Sphere Rolling Down a Height Calculator Calculate the final velocity of a solid sphere rolling without slipping down a height using the equation: \[ v = \sqrt{\frac{10gh}{7}} \] * Enter the height (in m) and gravitational acceleration (in m/s²) […]
Read MoreResultant Force Vector Calculator Calculate the resultant force using the parallelogram law: \[ R = \sqrt{F_1^2 + F_2^2 + 2\,F_1\,F_2\cos\theta} \] and the angle between \( F_1 \) and the resultant: \[ \alpha = \arctan\!\left(\frac{F_2\sin\theta}{F_1+F_2\cos\theta}\right) \] * Enter forces in newtons (N) and angle in degrees. Step 1: Enter Parameters Force \( F_1 \) (N): […]
Read MoreGravitational Potential Energy Calculator Gravitational Potential Energy Calculator Calculate the gravitational potential energy using the equation: \[ U = m\,g\,h \] where \( m \) is the mass (kg), \( g \) is the gravitational acceleration (m/s²), and \( h \) is the height (m). * Enter all values in SI units. Step 1: Enter […]
Read MorePegged Pendulum Minimum Drop Height Calculator Pegged Pendulum Minimum Drop Height Calculator Calculate the minimum height from which a pendulum must be dropped to complete a full circle about a peg using the equation: \[ h = \frac{5}{2}(L-d) \] where \(L\) is the pendulum length and \(d\) is the distance from the pivot to the […]
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