m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.00-angle (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 820-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 284.46 X N direction towards the wall vertical force magnitude 1310 direction up with the angle with the horizontal. ✔ ✔ N (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? 425 x (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? 2.61

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Chapter1: Units, Trigonometry. And Vectors
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A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.00-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 820-N firefighter has climbed 4.10 m along the ladder from the bottom.
horizontal force
magnitude 284.46 X N
direction
towards the wall
vertical force
magnitude 1310
direction
up
N
(b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground?
425
X
(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?
2.61
m
Transcribed Image Text:A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.00-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 820-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 284.46 X N direction towards the wall vertical force magnitude 1310 direction up N (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? 425 X (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? 2.61 m
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