A pendulum is made by letting a 2.0-kg object swing at the end of a string that has a length of 1.5 m.The maximum angle the string makes with the vertical as the pendulum swings is 30$\degree$.What is the speed of the object at the lowest point in its trajectory?
A)2.0 m/s
B)2.2 m/s
C)2.5 m/s
D)2.7 m/s
E)3.1 m/s

Question

Quizplus · Accepted Answer

At the lowest point in its trajectory, the pendulum's potential energy is zero and its kinetic energy is at a maximum. The speed of the object at this point can be found using the conservation of energy:```PE = KEmgh = 1/2 mv^2```where:* m is the mass of the object (2.0 kg)* g is the acceleration due to gravity (9.8 m/s^2)* h is the height of the object above its lowest point (1.5 m)* v is the speed of the object at its lowest pointSolving for v, we get:```v = sqrt(2gh) = sqrt(2 * 9.8 m/s^2 * 1.5 m) = 2.0 m/s```Therefore, the speed of the object at the lowest point in its trajectory is 2.0 m/s.

A Pendulum Is Made by Letting a 2 °\degree° What Is the Speed of the Object at the Lowest

A Pendulum Is Made by Letting a 2 $\degree$ What Is the Speed of the Object at the Lowest