A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 63.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.90 m along the ladder from the bottom. horizontal force magnitude 1340 x It may be helpful to think first about the force the wall exerts on the ladder. How is this related to the force that the ground exerts on the ladder? N towards the wall ✔ direction vertical force magnitude direction 245.48 X What forces act in the vertical direction? N up (b) If the ladder is just on the verge of slipping when the firefighter is 9.20 m from the bottom, what is the coefficient of static friction between ladder and ground? 0.305 (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter cant climb along the ladder from the bottom before the ladder slips?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 82A
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A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 63.0°-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.90 m along the ladder from the bottom.
horizontal force
magnitude
direction
vertical force
magnitude
direction
1340
It may be helpful to think first about the force the wall exerts on the ladder. How is this related to the force that the ground exerts on the ladder? N
towards the wall
↑
245.48
X
What forces act in the vertical direction? N
up
(b) If the ladder is just on the verge of slipping when the firefighter is 9.20 m from the bottom, what is the coefficient of static friction between ladder and ground?
0.305
(c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can
climb along the ladder from the bottom before the ladder slips?
2.57
m
Transcribed Image Text:A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 63.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.90 m along the ladder from the bottom. horizontal force magnitude direction vertical force magnitude direction 1340 It may be helpful to think first about the force the wall exerts on the ladder. How is this related to the force that the ground exerts on the ladder? N towards the wall ↑ 245.48 X What forces act in the vertical direction? N up (b) If the ladder is just on the verge of slipping when the firefighter is 9.20 m from the bottom, what is the coefficient of static friction between ladder and ground? 0.305 (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips? 2.57 m
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