When a Satellite Is near Earth, Its Orbital Trajectory May $V$

question 239

Multiple Choice

When a satellite is near Earth, its orbital trajectory may trace out a hyperbola, a parabola, or an ellipse. The type of trajectory depends on the satellite's velocity $V$ in meters per second. It will be hyperbolic if $V > \frac { k } { \sqrt { D } }$ , parabolic if $\mathrm { V } = \frac { \mathrm { k } } { \sqrt { \mathrm { D } } }$ , and elliptical if $\mathrm { V } < \frac { \mathrm { k } } { \sqrt { \mathrm { D } } }$ , where $\mathrm { k } = 2.82 \times 10 ^ { 7 }$ is a constant and $\mathrm { D }$ is the distance in meters from the satellite to the center of Earth. Solve the problem.
-If a satellite is scheduled to leave Earth's gravitational influence, its velocity must be increased so that its trajectory changes from elliptical to hyperbolic. Determine the minimum increase in velocity necessary for a
Satellite traveling at a velocity of 5696 meters per second to escape Earth's gravitational influence when $\mathrm { D } = 167 \times 10 ^ { 6 } \mathrm {~m} .$

• A) \(- 3514 \mathrm {~m}\) per sec
• B) \(5765 \mathrm {~m}\) per sec
• C) \(7878 \mathrm {~m}\) per sec
• D) \(5627 \mathrm {~m}\) per sec

Understand different psychotherapy theories and their approaches to human behavior, development, and therapeutic change.

Recognize the importance and roles of specific factors and common factors in psychotherapy.

Understand the concept of the therapeutic relationship and its significance in therapy outcomes.

Identify different stimuli and response change strategies in psychotherapy.

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Definitions:

Long-Term Memory

The component of memory capable of storing large amounts of information for long periods, often the entire lifetime.

Chunks

Memory technique involving grouping information together to improve recall.

Rehearsed Information

Rehearsed information refers to data or facts that an individual has practiced recalling or reviewing, therefore enhancing the likelihood of retention and recall.

Short-Term Memory

A capacity for holding a small amount of information in mind in an active, readily available state for a short period.