A 14.0 m uniform ladder weighing 480 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 830-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 830 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 1310 N direction up (b) If the ladder is just on the verge of slipping when the firefighter is 9.30 m from the bottom, what is the coefficient of static friction between ladder and ground? 0.201 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? (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 ladder from the bottom before the ladder slips? 2.26 xm
A 14.0 m uniform ladder weighing 480 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 830-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 830 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 1310 N direction up (b) If the ladder is just on the verge of slipping when the firefighter is 9.30 m from the bottom, what is the coefficient of static friction between ladder and ground? 0.201 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? (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 ladder from the bottom before the ladder slips? 2.26 xm
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Transcribed Image Text:A 14.0 m uniform ladder weighing 480 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 830-N firefighter has climbed 4.10 m along the ladder from the bottom.
horizontal force
magnitude 830
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 1310
N
direction
up
(b) If the ladder is just on the verge of slipping when the firefighter is 9.30 m from the bottom, what is the coefficient of static friction between ladder and ground?
0.201
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?
(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?
2.26
X m
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