A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 61.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude direction vertical force ---Select--- N magnitude direction ---Select--- (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? N m (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?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 25PQ: A painter of mass 87.8 kg is 1.45 m from the top of a 6.67-m ladder. The ladder rests against a...
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A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 61.0°-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom.
horizontal force
magnitude
direction
vertical force
---Select---
magnitude
direction
(b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground?
---Select--- v
N
N
m
(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?
Transcribed Image Text:A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 61.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude direction vertical force ---Select--- magnitude direction (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? ---Select--- v N N m (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?
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