You Can Determine the Kinetic Energy of an Object if You Know Its Mass and Its Volume.

Kinetic Free energy

Kinetic energy is the energy of motility. An object that has move - whether it is vertical or horizontal motion - has kinetic free energy. There are many forms of kinetic free energy - vibrational (the free energy due to vibrational motion), rotational (the free energy due to rotational motility), and translational (the free energy due to motion from 1 location to some other). To proceed matters simple, we volition focus upon translational kinetic energy. The amount of translational kinetic free energy (from hither on, the phrase kinetic free energy will refer to translational kinetic energy) that an object has depends upon two variables: the mass (m) of the object and the speed (v) of the object. The following equation is used to represent the kinetic energy (KE) of an object.

KE = 0.v • chiliad • v^two

where m = mass of object

v = speed of object

This equation reveals that the kinetic energy of an object is direct proportional to the square of its speed. That means that for a twofold increase in speed, the kinetic energy will increase past a factor of four. For a threefold increment in speed, the kinetic energy will increase by a cistron of 9. And for a fourfold increase in speed, the kinetic energy volition increment by a factor of xvi. The kinetic energy is dependent upon the square of the speed. Every bit it is often said, an equation is not merely a recipe for algebraic problem solving, but likewise a guide to thinking about the human relationship between quantities.

Kinetic energy is a scalar quantity; it does not have a direction. Different velocity, dispatch, force, and momentum, the kinetic energy of an object is completely described by magnitude solitary. Like work and potential energy, the standard metric unit of measurement for kinetic energy is the Joule. Equally might exist implied by the higher up equation, 1 Joule is equivalent to 1 kg*(m/s)^2.

ane Joule = i kg • mⁱⁱ/s²

Nosotros Would Like to Suggest ...

How does a auto's speed (and thus its kinetic energy) affect the distance that would be required for information technology to brake to a stop? Interact, Explore, and Acquire the reply to this question with our Stopping Distance Interactive. Yous can notice it in the Physics Interactives section of our website. The Stopping Distance Interactive allows a learner to explore the event of speed upon the stopping distance of a toy car.

Check Your Understanding

Use your understanding of kinetic energy to answer the post-obit questions. And so click the button to view the answers.

1. Determine the kinetic energy of a 625-kg roller coaster car that is moving with a speed of 18.3 m/s.

2. If the roller coaster car in the above problem were moving with twice the speed, then what would be its new kinetic energy?

iii. Missy Diwater, the former platform diver for the Ringling Brother'due south Circus, had a kinetic energy of 12 000 J just prior to hitting the bucket of h2o. If Missy'south mass is 40 kg, then what is her speed?

iv. A 900-kg compact automobile moving at sixty mi/hr has approximately 320 000 Joules of kinetic free energy. Gauge its new kinetic energy if it is moving at 30 mi/60 minutes. (HINT: use the kinetic energy equation as a "guide to thinking.")

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Source: https://www.physicsclassroom.com/class/energy/u5l1c.cfm