A slingshot fires a pebble from the top of a building at a speed of 14.0 m/s. The building is 27.0 m tall. Ignoring air resistance, find the speed with which the pebble strikes the ground when the pebble is fired (a) horizontally, (b) vertically straight up, and (c) vertically straight down.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
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A slingshot fires a pebble from the top of a building at a speed of 14.0 m/s. The building is 27.0 m tall. Ignoring air resistance, find the
o speed with which the pebble strikes the ground when the pebble is fired (a) horizontally, (b) vertically straight up, and (c) vertically
straight down.
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
Transcribed Image Text:Current Attempt in Progress A slingshot fires a pebble from the top of a building at a speed of 14.0 m/s. The building is 27.0 m tall. Ignoring air resistance, find the o speed with which the pebble strikes the ground when the pebble is fired (a) horizontally, (b) vertically straight up, and (c) vertically straight down. (a) Number i Units (b) Number i Units (c) Number i Units
Expert Solution
Step 1

(a) When fired horizontally:-

vx=14 m/svy=2gh=2×9.8×27=23 m/s

Hence,

v=vx2+vy2v=142+232v=26.93 m/s

 

Hence, pebble will hit the ground with a speed of 26.93 m/s.

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