Which of the following is NOT true? a. The higher the moment of inertia, the greater the resistance to changes in angular velocity. b. The higher the moment of inertia, the slower something will roll down an incline. c. The lower the moment of inertia, the easier it is to change the angular velocity. d. The lower the moment of inertia, the slower something will roll down an incline.

Answers

Answer 1
Answer:

Answer:

Explanation:

The moment of inertia is the integral of the product of the squared distance by the mass differential. Is the mass equivalent in the rotational motion

a) True. When the moment of inertia is increased, more force is needed to reach acceleration, so it is more difficult to change the angular velocity that depends proportionally on the acceleration

b) True. The moment of inertia is part of the kinetic energy, which is composed of a linear and an angular part. Therefore, when applying the energy conservation theorem, the potential energy is transformed into kinetic energy, the rotational part increases with the moment of inertia, so there is less energy left for the linear part and consequently it falls slower

c) True. The moment of inertial proportional to the angular acceleration, when the acceleration decreases as well. Therefore, a smaller force can achieve the value of acceleration and the change in angular velocity. Consequently, less force is needed is easier

Answer 2
Answer:

Final answer:

d. The lower the moment of inertia, the slower something will roll down an incline - this is the option that is NOT true. Objects with lower moments of inertia roll down inclines faster, not slower because they resist changes to their rotation less.

The correct statement that is NOT true among the provided options is: d.

Explanation:

The correct statement that is NOT true among the provided options is: d. The lower the moment of inertia, the slower something will roll down an incline.

The moment of inertia, often denoted by 'I', is essentially the rotational equivalent of mass for linear motion. It is a property of a body that measures its resistance to angular acceleration, which is its change in angular velocity.

  • a. True - The higher the moment of inertia, the greater the resistance to changes in angular velocity, because a body with a larger moment of inertia (mass concentrated farther from the axis of rotation) requires more torque to change its rotational speed.
  • b. True - The higher the moment of inertia, the slower something will roll down an incline. This is because an object with a greater moment of inertia will resist rolling down the incline more than one with a lower moment of inertia.
  • c. True - The lower the moment of inertia, the easier it is to change the angular velocity, as there is less mass resisting the change in rotation.

However, the claim in statement d is not correct as per the principles of rotational motion in physics. An object with a lower moment of inertia would actually roll down an incline faster, not slower, given the same amount of gravitational potential energy, since it has less resistance to changes in its rotational motion.

Learn more about Moment of Inertia here:

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Answers


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radiant

thermal

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Answers

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EXPLANATION:

Before coming into any conclusion, first we have to understand thermal energy and conduction.

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As per the question, Javior touches the hut mug of tea. The mug surface is at high temperature as compared to Javior hand. Hence, heat flow be from mug surface to hand of Javior.

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A 10.-kilogram object, starting from rest, slides down a frictionless incline with a constant acceleration of 2.0 m/sec2 for four seconds. What is the approximate weight of the object? A) 1 N B) 10 N C) 100 N D) 1,000 N

Answers

C) 100N

Given:

Mass of the object = 10kg

Acceleration due to gravity = 9.81m/s²

Weight is a measure of the force of gravity pulling down on an object. It depends on the object's mass and the acceleration due to gravity, which is 9.8 m/s² on Earth.

Formula for calculating the Weight of an object is expressed as;

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On substituting the values in the above formula:

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Hence, the approximate weight of the object is 100N.

Therefore, the correct option is option C.

Learn more:

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Answer:

C) 100N

Explanation:

Formula for calculating the Weight of an object is expressed as;

Weight = mass × acceleration due to gravity

Given

Mass of the object = 10kg

Acceleration due to gravity = 9.81m/s²

Substitute into the formula above

Weight = 10×9.81

Weight = 98.1N

Hence the approximate weight of the object is 100N

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Answers

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