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Chapter 1: Q12P (page 39)
Figure 1.55 shows several arrows representing vectors in the xy plane. (a) Which vectors have magnitudes equal to the magnitude of ? (b) Which vectors are equal to ?
(a) Vectors and have same magnitude as .
(b) Vectors and are equal to .
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You jog at a steady speed of 2 m/s. You start from the location and for the first 200 s your direction is given by the unit vector . Next you jog for 300 s in the direction given by the unit vector . Finally you jog for 150s in the direction given by the unit vector . (a) Now what is your position? (b) What was your average velocity?
(a) Apply Newton's first law to each of the following situations. In which situations can you conclude that the object is undergoing a net interaction with one or more other objects? (1) A book slides across the table and comes to a stop. (2) A proton in a particle accelerator moves faster and faster. (3) A car travels at constant speed around a circular race track. (4) A spacecraft travels at a constant speed toward a distant star. (5) A hydrogen atom remains at rest in outer space. (b) A spaceship far from all other objects uses its rockets to attain a speed of . The crew then shuts off the power. According to Newton's first law, which of the following statements about the motion of the spaceship after the power is shut off are correct? (Choose all statements that are correct.) (1) The spaceship will move in a straight line. (2) The spaceship will travel on a curving path. (3) The spaceship will enter a circular orbit. (4) The speed of the spaceship will not change. (5) The spaceship will gradually slow down. (6) The spaceship will stop suddenly.
After World War II the U.S. Air Force carried out experiments on the amount of acceleration a human can survive.These experiments led by Jon Stapp, were the first to use crash dummies as well as human subjects, especially Stapp himself, who became an effective advocate for automobile safety belts. In one of the experiments Stapp rode a rocket sled that decelerated from (about ) to in just . What was the absolute value of the (negative) average acceleration? (b) The acceleration of a falling object if air resistance is negligible is ,called “one g.” What was the absolute value of the average acceleration in gas? What was the absolute value of the average acceleration in g’s? (Stapp eventually survived a test at )
Write the vector as the product
You stand at location m. Your friend stands at location . What is your friend’s position vector?
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