The paths of two small satellites, X and Y, of equal mass of 6.00 kg each, are shown below. They orbit around a massive star, as illustrated, with M 7.20×1029 kg. The orbits are in the plane of the paper and are drawn to scale. u In the statements below KE is kinetic energy, PE is potential energy, and L| is magnitude of the angular momentum. the PE of X at i e The speed of Y at w is .... that at p e At c, the KE of X is .... that of Y. e At a, the PE of Y is .... that of X. greater than 8 The PE of Y at w is less than equal to equal to A The JL of Y at s is that at n qual to
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
![The paths of two small satellites, X and Y, of equal mass of 6.00 kg each, are shown below. They orbit around a massive star, as illustrated, with M =
7.20x1029 kg. The orbits are in the plane of the paper and are drawn to scale.
u
a
In the statements below KE is kinetic energy, PE is potential energy, and L is magnitude of the angular momentum.
greater than e The PE of Y at w is .... the PE of X at i
e The speed of Y at w is .... that at p
a At c, the KE of X is .... that of Y.
e At a, the PE of Y is .... that of X.
e The L of Y at s is .... that at p.
less than
equal to
aqual ta
equal to
See the text on sattelite orbits and energy. Note that PE is defined to be zero very far (infinity) from the star.
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