3/490%3. A ball is thrown from the top of a building upward at an angle of 0 with an initial speed of vo. If theheight of the building is yo then;vo0°hmaxRange (R)(a) Use two different approaches to show that the speed of the particle where it hits the ground isgiven by v = Vvố + 2gyo- (lgnore the air resistance)(b) Fill in the following table for the given set of system parameters:Yo (m)1002065Table 3 Problem 3 (Express your answer in three decimal places)va(m/s)Vg(m/s)vc(m/s)vo(m/s)hmaz (m)tac(s)tAD (s)R (m)F8F9F10F11F12InsertPrntScrDeletePg UpNumL{8[ 9 ] .

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3. A ball is thrown from the top of a building upward at an angle of 0 with an initial speed of vo. If the height of the building is yo then; vo 0° hmax Range (R) (a) Use two different approaches to show that the speed of the particle where it hits the ground is given by v = Vvỏ + 2gyo- (lgnore the air resistance) (b) Fill in the following table for the given set of system parameters: vo(m/s) Yo (m) 100 20 65

3. A ball is thrown from the top of a building upward at an angle of 0 with an initial speed of vo. If the height of the building is yo then; vo 0° hmax Range (R) (a) Use two different approaches to show that the speed of the particle where it hits the ground is given by v = Vvỏ + 2gyo- (lgnore the air resistance) (b) Fill in the following table for the given set of system parameters: vo(m/s) Yo (m) 100 20 65

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 129CP: In a later chapter, you will find that the weight of a particle varies with altitude such that...

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In the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at 160 km/hr and dropped the bales from a height of 80 m above the flat range, (a) She wanted the bales of hay to land 30 m behind the cattle so as to not hit them. Where should she push the bales out of the airplane? (b) To not hit the cattle, what is the largest time error she could make while pushing the bales out of the airplane? Ignore air resistance.
Check Your Understanding If the two golf shots in Example 4.9 were bunched at the same speed, which shot would have the greatest range? When we speak of the range of a projectile on level ground, we assume R is very small compared with the circumference of Earth. If, however, the range is large, Earth curves away below the projectile and the acceleration resulting from gravity changes direction along the path. The range is larger than predicted by the range equation given earlier because the projectile has father to fail than it would on level ground, as shown in Figure 4.17, which is based on a drawing in Newton’s Principia. If the initial speed is great enough, the projectile goes into orbit. Earth’s surface drops every 8000 m. In 1 s an object falls 5 m without a resistance. Thus, if an object is given a horizontal velocity of 8000 m/s (or 18,000 mi/hr) near Earth’s surface, it will go into orbit around the planet because, the surface continuously falls away from object Thu is roughly the speed of the Space Shuttle in a low Earth orbit when it was operational, or any satellite in a low Earth orbit. These and other aspects of orbital motion, such as Earth’s rotation, are covered in greater depth in Gravitation. Figure 4.17 Projectile to satellite. In each case shown here, a projectile is launched from a very high tower to avoid air resistance. With increasing initial speed, the range increases and becomes longer than t would be on level ground because Earth curves away beneath its path. With a speed of 8000 m/s, orbit is achieved.
In a later chapter, you will find that the weight of a particle varies with altitude such that w=mgr02r2where r0is the radius of Earth and ris the distance from Earth’s center. If the particle is fired vertically with velocity v0from Earth’s surface, determine its velocity as a function of position r. (Hint: use adr=vdv, the rearrangement mentioned in the text.)
8. You fire a ball with an initial speed of vo at an angle o above the surface of an incline, which is itself inclined at an angle 0 above the horizontal. a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. b) What angle o gives the maximum range, measured along the incline? Ignore air resistance.
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A carnival game has you throw a ball through a hoop as the hoop falls from some height. Suppose for onesuch game the hoop falls from a height of 2.0 m above your hand when you throw the ball, and you stand ahorizontal distance of 3.0 m away. If you throw the ball right when the hoop is released (from rest), at whatangle must you throw the ball in order for you to win the prize?
A ball is thrown from the ground with a speed of 50 m/s at an angle of 35o above thehorizontal. If we neglect air resistance,a) What maximum height does the ball reach?b) How far from where it is thrown will the ball land?
6. Travis stands on the side of a hill that is at an angle o with respect to the (horizontal) ground. He throws a ball uphill at speed vo at an angle 0 above the horizontal. Show that the range R of the ball (as measured along the hill) is given by 2v cos? 0(tan 0- tan o) R = g cos o Ignore any effects due to air resistance.
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