A simple pendulum of length 2.00 m has a mass of 100 g attached.It is drawn back 30.0° and then released.What is the maximum speed of the mass?

Question

Quizplus · Accepted Answer

The period of a simple pendulum is given by:

T=2π√(L/g)

where L is the length of the pendulum, g is the acceleration due to gravity.

The maximum speed of the mass occurs at the bottom of the swing, where all the potential energy is converted to kinetic energy. Therefore, the maximum speed of the mass is given by:

v_max=√(2gL(1-cosθ))

where θ is the angle the pendulum is released from.

Substituting the given values, we get:

T=2π√(2.00/9.81)= 2.02s

θ=30°=π/6 radians

v_max=√(2×9.81×2.00×(1-cos(π/6))) = 2.29 m/s

Hence, the best choice is C with the explanation shown above.

A Simple Pendulum of Length 2