An electric dipole consists of two equal but opposite electric charges, +q and -q, separated by a small distance d. If another charge Q is distance x from the center of the dipole, in the plane perpendicular to the line between +q and -q, and if x W d, the dipole exerts an electric force on charge Q, where K is a constant. How much work does the electric force do if charge Q moves from distance ?
Work done by electric force is
The work done by variable force is,
Here, is the force, is small displacement.
Consider dipole exerts an electric force is
use formula to find work done by force F using distance to distance.
Use power rule of integral,
Hence work done by electric force is
A weather rocket generates a thrust of The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is , is anchored to the ground.
a. Initially, before the engine is ignited, the rocket sits at rest on top of the spring. How much is the spring compressed?
b. After the engine is ignited, what is the rocket’s speed when the spring has stretched
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