Momentum

The angular momentum of a particle with respect to the origin is given by the cross product of the position vector and the linear momentum : The magnitude of angular momentum is: Where is the magnitude of the position vector, is the magnitude of the linear momentum, and is the angle between and . For the angular momentum to be non-zero, must not be zero, which means must not be 0° or 180°. The maximum value of occurs when , which means the angle between the position vector and the linear momentum is 90°.

The correct option is (E) : the angle between the position vector and linear momentum is 90°

The performance of a circus acrobat, such as when they perform a somersault or spin, is based on the conservation of angular momentum. Angular momentum is conserved when no external torque acts on the system. For example, when a person pulls their arms in while rotating, their moment of inertia decreases, and their rotational speed increases to conserve angular momentum.
Hence, the correct answer is (C).