An airplane releases a ball as it flies parallel to the ground at a height of h = 195 m as shown in the figure. If the ball lands on the ground a horizontal distance equal to the height h from the release point, calculate the speed u of the plane. Neglect any effects due to air resistance, and use g = 9.81 m/s2 for the acceleration due to gravity. V= m/s h h

An airplane releases a ball as it flies parallel to the ground at a height of h = 195 m as shown in the figure. If the ball lands on the ground a horizontal distance equal to the height h from the release point, calculate the speed u of the plane. Neglect any effects due to air resistance, and use g = 9.81 m/s2 for the acceleration due to gravity. V= m/s h h

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter2: Vectors

Section: Chapter Questions

Problem 2CQ: Which of the following is a vector a person’s height, the altitude on Mt. Everest, the velocity of a...

See similar textbooks

Similar questions

In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
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 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 Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
Which of the following is a vector a person’s height, the altitude on Mt. Everest, the velocity of a fly, the age of Earth, the boiling point of water, the cost of a book, Earth’s population, or the acceleration of gravity?
Check your Understanding A cyclist rides 3 km west and then tune around and tides 2 kin east. (a) What Is his displacement? (b) What is the distance traveled? (c) What is the magnitude of his displacement?
1110. In Fig. P-1109, a ball thrown down the incline strikes it at a distance s 254.5 It. If the ball rises to a maximum height h 64.4 ft above the point of release, compute its initial velocity vo and inclination 6. Ans. v. = 80.5 ft per see; 0= 53.1° FIG. P-1109 and P-1110.
A tennis player hits the tennis ball at a distance of 10 m from the net. The ball is hitat a height of 1.2 m above ground so that it starts moving with a velocity of 30 m/s ina horizontal direction (parallel to the ground). The height of the net is 90 cm. What is the angle the tennis player has to hit the ball so it will just clear thenet?
A shooter aims horizontally at a target at the unknown distance d: the same height as the shooter with the initial bullet speed vo. Th bullet misses the target by the vertical distance h. What was the distance d? Calculate its numerical value for v0 = 1500 m/s and h=1.5 cm.
PROBLEM: A ball is kicked at the edge of a cliff with a magnitude of 20m/ s at angle of 40° from the horiz ontal. It hits a vertical wall 5 Øm away and ation of the cliff. Determine th lower than the elev e vertical height from the point where the ball hits the wall to: a. the level of the cliff b. its highest point
a fish swimming in a horizantal plane has velocity vi=(4.00i+1.00j) m/s at the point in the ocean ehere the position relative to a certain rock is ri = (10.0i -4.00 j) m. after the fish swims with constant accleration for 20.0 s its velocity v=(20.0i-5.00j) m/s (a) what are the components of the accleration of the fish (b) what is the direction of its accleration with respect to unit vector i (c) if tthe fish maintain constant accleration where is it at t=25.0 s and in what direction isit moving
A tennis player hits a ball 2.5 m above the ground. The ball leaves his racquet with a horizonatl speed of 10 m/s. The horizontal distance to the net is 5.0 m and the net is 1 meter tall. A) how high is the ball above the net when it passes over the net? B) Find the horizontal speed and vertical speed of the ball when it passes over the net.