Question

the image shows a pendulum that is released from at point a. which pair of labels is correct? a: maximum kinetic energy c: maximum gravitational potential energy b: maximum kinetic energy maximum gravitational potential energy a: maximum gravitational potential energy c: maximum kinetic energy a: maximum gravitational potential energy maximum kinetic energy

Explanation:

Step1: Understand energy at extreme - top position

At point A (highest position), the pendulum is at rest momentarily. Its height is maximum. Gravitational potential energy \(U = mgh\) (where \(m\) is mass, \(g\) is acceleration due to gravity and \(h\) is height). So it has maximum gravitational potential energy.

Step2: Understand energy at lowest position

At point C (lowest position), the pendulum has maximum speed. Kinetic energy \(K=\frac{1}{2}mv^{2}\) (where \(v\) is velocity). Since speed is maximum here, it has maximum kinetic energy.

Answer:

C. A: Maximum gravitational potential energy, C: Maximum kinetic energy