How to Calculate Work Required to Stop a Hoop Rolling Across a Surface

What is translational energy?

translational energy (plural translational energies) (physics) The energy of the molecules of a fluid due to motion (translation rather than rotation or vibration).

What is an example of translational kinetic energy?

A train moving along a railroad track, an object in free fall due to gravity, a car driving on a road, the motion of a bullet fired from a gun, or the expansion of a galaxy are examples of translational kinetic energy.

Answer:

The work required to stop a hoop rolling across a surface can be calculated by determining its total energy, which is the sum of translational kinetic energy and rotational kinetic energy.

When a hoop with a radius of 1.0 m and a mass of 6.0 kg rolls across a horizontal surface with a speed of 10.0 m/s, the work required to stop it can be found by considering its total energy.

The total energy of the hoop is the sum of its translational kinetic energy and rotational kinetic energy. The translational kinetic energy is related to the linear motion of the hoop, while the rotational kinetic energy is related to its spinning motion.

In this case, the work required to stop the hoop is equivalent to one joule (1J). This calculation is based on the formula for total energy, which takes into account the mass, speed, and radius of the hoop.

Translational energy refers to the energy associated with the movement of fluid molecules in a linear, non-rotational manner. Examples of translational kinetic energy include trains moving along tracks, objects in free fall, cars on roads, bullets fired from guns, and the expansion of galaxies.

Rotational energy, on the other hand, is the kinetic energy resulting from the rotation of an object. It is a component of the object's total kinetic energy and contributes to its overall motion.

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