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A velocity field exists in a region of space. A closed surface is divided into four sections, , and . There is a source located just outside the closed surface near : there may be other sources or sinks near the other surfaces . but none are inside . (a) What can be concluded about , the flux through ? (A) (B) (C) (D) Nothing can be concluded about without additional information. (b) Which of the following statements is correct about the flux through thie four surfaces? (A) At least one of the must be negative. (B) At least one of the must be positive. (C) At least one of the must be zero. (D) If is correct, then so is . (E) Either or could be correct, but not both. (c) Measurements indicate that . From this information we can conclude that (A) . (B) . (C) . (D) .
The front 1.20 m of a 1400-kg car is designed as a "crumple zone" that collapses to absorb the shock of a collision. If a car traveling 25.0 m/s stops uniformly in 1.20 m, (a) how long does the collision last, (b) what is the magnitude of the average force on the car, and (c) what is the magnitude of the acceleration of the car? Express the acceleration as a multiple of the acceleration due to gravity.
Example 5-6 implements the Number Guessing Game program. If the guessed number is not correct, the program outputs a message indicating whether the guess is low or high. Modify the program as follows: Suppose that the variables num and guess are as declared in Example 5-6 and diff is an
int variable. Let diff = the absolute value of (num - guess). If diff is 0, then guess is correct and the program outputs a message indicating that the user guessed the correct number. Suppose diff is not 0. Then the program outputs the message as follow:
- If diff is greater than or equal to 50, the program outputs the message indicating that the guess is very high (if guess is greater than num) or very low (if guess is less than num).