Which pendulum will stop first?

One pendulum swinging will keep swinging until gravity slowly stops it. When two pendulums are on a string, the force the swinging pendulum puts on the long string will start the other pendulum moving and eventually stop the first one. As the pendulum goes back and forth, it is speeding up and slowing down.

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Then, why is the pendulum important?

It states that a body at rest, stays at rest and a body in motion stays in motion, unless acted on by an outside force. Pendulums provide proof of Newton's first law of motion. Keeping this in consideration, does the string that supports a pendulum bob do work on the bob as it swings to and from? (b) As the pendulum bob swings, the force exerted by the string is radial (toward the pivot point) but the displacement is tangential, perpendicular to the force. We conclude that the work done on the bob by the string is zero.

Does the string that supports a pendulum bob do work on the bob as it swings to and fro does the force of gravity do any work on the bob?

Yes, gravity does work on the bob when the direction of motion is not perpendicular to the direction of the force of gravity. Consequently, does the string that supports a pendulum bob? Answer: Yes, gravity does work on the bob when the direction of motion is not perpendicular to the direction of the force of gravity.

What is the relationship between work and the potential energy gained by the pendulum initially?

Energy in a Pendulu. This gives the mass gravitational potential energy (GPE), which is the energy of position. The work done on the mass is equal to the GPE gained. GPE can be calculated by multiplying the mass, the acceleration due to gravity, and the height change. What do you know about simple pendulum? A simple pendulum consists of a mass m hanging from a string of length L and fixed at a pivot point P. When displaced to an initial angle and released, the pendulum will swing back and forth with periodic motion. with being the natural frequency of the motion.

And another question, how does gravity affect a pendulum?

Gravity is one of two main forces acting upon a pendulum at any given time, helping create the back-and-forth motion of the swinging weight.