A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg - kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. A 1.23 seconds B) 2.89 seconds C.3.25 seconds D.4.01 seconds E. 4.20 seconds F 5.00 seconds G.5.31 seconds H 6.20 seconds
A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg - kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. A 1.23 seconds B) 2.89 seconds C.3.25 seconds D.4.01 seconds E. 4.20 seconds F 5.00 seconds G.5.31 seconds H 6.20 seconds
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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: A wooden
ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg - kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared.
A 1.23 seconds
B) 2.89 seconds
C.3.25 seconds
D.4.01 seconds
E. 4.20 seconds
F 5.00 seconds
G.5.31 seconds
H 6.20 seconds
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