Solution: Calculate where the CM lands using 2-D motion equations: h = gt² and xCM = vit Solve for t and plug in: 2h XCM = Vi (Eqn. 1) 9 Formula for XCM related to x1 and x2: m1x1+m2x2 XCM = (Eqn. 2) m1+m2 Plug (Eqn. 1) into (Eqn. 2): 2h Vi g m1x1+m2x2 m1+m2 Plug in values for the masses: 2h x1+2x2 Vi √ g 3 00 h x1 X2 18.7m 11.1m m Mid-Air Explosion A drone is flying horizontally at a speed of v¿ when a battery malfunction causes it to explode into 2 pieces. The pieces fall to Earth from a height of h due to gravity (ignore air resistance). Piece #1 has a mass of 1.00kg and lands a horizontal distance of x1 from the explosion spot. Piece #2 has a mass of 2.00kg and lands a horizontal distance of x2 from the explosion spot. 9 Vi 8.52 m S Type your answer... 1 CM 2 10 DI h x1 X2 m 10.7m 18.1m Vi 8.44m S Type your answer...
Solution: Calculate where the CM lands using 2-D motion equations: h = gt² and xCM = vit Solve for t and plug in: 2h XCM = Vi (Eqn. 1) 9 Formula for XCM related to x1 and x2: m1x1+m2x2 XCM = (Eqn. 2) m1+m2 Plug (Eqn. 1) into (Eqn. 2): 2h Vi g m1x1+m2x2 m1+m2 Plug in values for the masses: 2h x1+2x2 Vi √ g 3 00 h x1 X2 18.7m 11.1m m Mid-Air Explosion A drone is flying horizontally at a speed of v¿ when a battery malfunction causes it to explode into 2 pieces. The pieces fall to Earth from a height of h due to gravity (ignore air resistance). Piece #1 has a mass of 1.00kg and lands a horizontal distance of x1 from the explosion spot. Piece #2 has a mass of 2.00kg and lands a horizontal distance of x2 from the explosion spot. 9 Vi 8.52 m S Type your answer... 1 CM 2 10 DI h x1 X2 m 10.7m 18.1m Vi 8.44m S Type your answer...
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 54P: A billiard ball, labeled 1, moving horizontally strikes another billiard ball, labeled 2, at rest....
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