This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: homework 03 JACOBS, AMBER Due: Feb 5 2008, 1:00 am 1 Question 1, chap 4, sect 5. part 1 of 1 10 points A toy cannon fires a 0 . 1 kg shell with initial velocity v i = 9 . 7 m / s in the direction = 47 above the horizontal. The acceleration of gravity is 9 . 8 m / s 2 . x h 9 . 7 m / s 4 7 y y Shells trajectory curves downward because of gravity, so at the time t = 0 . 782 s the shell is below the straight line by some vertical distance. Your task is to calculate this distance h in the absence of air resistance. Correct answer: 2 . 99647 m (tolerance 1 %). Explanation: In the absence of gravity, the shell would fly along the straight line at constant velocity: x = t v i cos , y = t v i sin . The gravity does not affect the x coordinate of the shell, but it does pull its y coordinate at constant downward acceleration a y = g , hence x = t v i cos , y = t v i sin g t 2 2 . Thus, x = x but y = y 1 2 gt 2 , or in other words, the shell deviates from the straightline path by the vertical distance h =  y y  = g t 2 2 . Note: This result is completely indepen dent on the initial velocity v i or angle of the shell. It is a simple function of the flight time t and nothing else (besides the constant g = 9 . 8 m / s 2 ). h = g t 2 2 = (9 . 8 m / s 2 ) (0 . 782 s) 2 2 = 2 . 99647 m . Question 2, chap 4, sect 5. part 1 of 1 10 points A ball is thrown and follows the parabolic path shown. Air friction is negligible. Point Q is the highest point on the path. Points P and R are the same height above the ground. Q R P Which of the following diagrams best indi cates the direction of the acceleration, if any, on the ball at point R ? 1. The ball is in freefall and there is no acceleration at any point on its path. 2. correct 3. homework 03 JACOBS, AMBER Due: Feb 5 2008, 1:00 am 2 4. 5. 6. 7. 8. 9. Explanation: Since air friction is negligible, the only ac celeration on the ball after being thrown is that due to gravity, which acts straight down. Question 3, chap 4, sect 5. part 1 of 4 10 points A ball of mass 0 . 3 kg, initially at rest, is kicked directly toward a fence from a point 20 m away, as shown below. The velocity of the ball as it leaves the kickers foot is 17 m / s at angle of 50 above the horizontal. The top of the fence is 7 m high. The kickers foot is in contact with the ball for 0 . 03 s. The ball hits nothing while in flight and air resistance is negligible. The acceleration due to gravity is 9 . 8 m / s 2 . b 20 m 7 m 1 7 m / s 5 b b b b b b b b b b b b b b b b b b b b Determine the magnitude of the average net force exerted on the ball during the kick....
View Full
Document
 Spring '07
 KOPP
 Physics, Acceleration, Gravity, Work

Click to edit the document details