Which object has the greatest inertia?
(1) a 15-kg mass traveling at 5.0 m/s
(2) a 10.-kg mass traveling at 10. m/s
(3) a 10.-kg mass traveling at 5.0 m/s
(4) a 5.0-kg mass traveling at 15 m/s

Respuesta :

The correct answer is
(1) a 15-kg mass traveling at 5.0 m/s
In fact, the inertia of an object depends only on its mass. The inertia gives a measure of "how hard is to put an object in motion", or "how hard is to stop an object in motion": the greater the mass, the larger the inertia of the object. In this problem, we have 4 objects, and the object with greatest mass is the first one (15 kg), therefore this is also the object with greatest inertia.

Option (1) is correct. The inertia is greatest for a 15 kg mass travelling at a speed of 15 m/s.

Further Explanation:

The inertia of a body is its capability or its tendency to remain in its state of rest or of motion until it is forced to change its state by means of an external agent.

The inertia of a body is a property which is totally dependent on the mass of the body because it requires an external force of higher magnitude in order to change the state of rest or motion of the heavier body whereas a lighter body requires a comparatively less amount of force.

The velocity of a body does not play a role in determining its inertia. The velocity plays its role in determining the momentum of the body.

As given in the above options, the body in the first option has the highest mass and therefore, the inertia of the body of mass [tex]15\,{\text{kg}}[/tex]  will be the highest.

Thus, Option (1) is correct. The inertia is greatest for a 15 kg mass travelling at a speed of 15 m/s.

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Newton’s Law of Motion

Keywords:

Greatest inertia, mass, travelling at, velocity, inertia of body, lighter body, heavier body, state of rest, motion, 15 kg mass, 10 kg mass, 10 m/s, 5 m/s.