The Physics of Everyday Phenomenat AConceptual introduction to Physics laghth Ed
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The Physics of Everyday Phenomenat AConceptual introduction to Physics laghth Edition Synthesis problems exercises For the exercises in Caper 3 use approximate value of g and remember that the velocity is equal to zero at the high m/s for the acceleration due to pravity. EI. A steel ball is dropped from a diving platform (with an E10 Suppose that the gravitational acceleration on a certain planet initial velocity of zero). Using the approximate value of is only 3.0 m/s. A space esplorer standing on this planet throwsaball straight upward with initial velocity of 18 a What is the velocity of the ball 06 seconds its release? b What is its velocity 12 seconds after its release a. What is the velocity of the ball 4 seconds after it is trown? b How much time elapses before the ball reaches the high For the ball in exercise E point in its flight? a. Through what distance does the ball fall in the first EII. A bullet is fired horizontally with an initial velocity of 900 0.6 seconds of its night? (Assume g 10 ms mv's at a target located 150 m from the rine, b How far does it fall in the first 12 seconds of its flight? a. How much time is required for the bullet to reach the target? b Using the approximate value of g 10 mvs how far does E3 A large rock is dropped from the lop of a high cliff. Assum- the bullet fall in this time? ing that air resistance can be ignored and that the acceleration has the constant value of 10 m/s how fast would the rock be E12. A ball rolls off a shelf with a horizontal velocity of 4 m/s. traveling 5 seconds after it is dropped? What is this speed in At what horizontal distance from the shelf does the ball MPH? (See inside front cover for conversion factors, land if it takes 05 sto reach the floor? E4. Suppose Galileo's pulse rate was 80 beats per minute. rolls off a table with a horizontal velocity of 4 m/s. If a What is the time in seconds between consecutive pulse beats? it takes 0.5 seconds for the ball to reach the floor, bow high b. How far does an object fall in this time when dropped above the floor is the tabletop? (Use g 10 msa) El4. A ball rolls off atable with a horizontal velocity of 5 m/s. Ir ES. A ball is thrown downward with an initial velocity of it takes 06 seconds for it to reach the floor, 12 m/s. Using the approximate value of R 10 m/s what a. What is the vertical component of the ball's velocity just is the velocity of the ball 1.0 seconds afher it is released? before it hits the floor? Use g b. What is the horizontal component of the ball's velocity E6. A ball is dropped from a high building. Using the approxi- just before it hits the floor? mate value of 0 m/s, find the change in velocity between the first and fifth seconds of its flight. E15. A ball rolls off a platform that is 5 meters above the ground. The ball's horizontal velocity as it leaves the planfoma is 6ms E7. A ball is thrown upward with an initial velocity of 14 m/s. a How much time does it take for the ball to hit the ground? Using the approximate value of g m 0 m/s, what are the See example box 3.3, use g w 10 mws magnitude and direction of the ball's velocity b How far from the base of the platform does the ball hit the second after it is thrown? b 2 seconds after it is thrown? 6. A projectile is fired at an angle such that the vertical com- E8. How high above the ground is the ball in exercise 7 ponent of its velocity and the horizontal component of its second after it is thrown? velocity are both equal to 40 m/s. b 2 seconds after it is thrown? a. Using the approximate value of g o mus, how long At what time does the ball in exercise 7 reach the high point does it take for the ball to reach its high point? in its flight? (Use the approximate value of R 10 ms, b. What horizontal distance does the ball travel in this time? synthesis problems For the synthesis problems in Chapter 3, use the approximate value a. What are the velocities of the two balls 18 seconds afterExplanation / Answer
here
E1)
a) after t = 0.6 s
the velocity of the ball , v = 0 + g * t
v = 0 + 9.8 * 0.6 = 5.88 m/s
b)
at t = 1.2 s
the velocity of the ball , v = 0 + g * t
v = 0 + 1.2 * 9.8 m/s
v = 11.76 m/s
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