Answer: 3) the point between 2 objects where they balance each other
Explanation:
The center of mass of two bodies about which the bodies orbit and balance each other is known as Barycenter. It is the point of balance of two or more celestial bodies. The Barycenter determines the orbit of the celestial bodies.
For example: the binary stars orbit a common center of mass. Pluto and its moon Charon revolve about their Barycenter.
Hence, the correct option is 3.
b. a cup of cold water
c. a hot tub full of hot water
d. a large bucket of hot water
B. picking up a box off the floor
C. holding a tray in the cafeteria line
D. pushing a box across the floor
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
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.
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.
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.
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