Bob traverses a chasm by stringing a rope between a tree on one side of the chasm and a tree on the opposite side, 25 m away (see the figure below). Assume the rope can provide a tension force of up to 29 kN before breaking, and use a "safety factor" of 10 (that is, the rope should only be required to undergo a tension force of 2.9 kN). (a) If Bob's mass is 72.0 kg, determine the distance x that the rope must sag at a point halfway across if it is to be within its recommended safety range. (b) If the rope sags by only one-fourth the distance found in (a), determine the tension force in the rope. Will the rope break?

Bob traverses a chasm by stringing a rope between a tree on one side of the chasm and a tree on the opposite side, 25 m away (see the figure below). Assume the rope can provide a tension force of up to 29 kN before breaking, and use a "safety factor" of 10 (that is, the rope should only be required to undergo a tension force of 2.9 kN). (a) If Bob's mass is 72.0 kg, determine the distance x that the rope must sag at a point halfway across if it is to be within its recommended safety range. (b) If the rope sags by only one-fourth the distance found in (a), determine the tension force in the rope. Will the rope break?

Name: Bob traverses a chasm by stringing a rope between a tree on one side
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Bob traverses a chasm by stringing a rope between a tree on one side of the chasm and atree on the opposite side, 25 m away (see the figure below). Assume the rope can providea tension force of up to 29 kN before breaking, and use a "safety factor"

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter5: Newton's Law Of Motion

Section: Chapter Questions

Problem 62P: Consider Figure 5.28. The driver attempts to get the car out of the mud by exerting a perpendicular...

See similar textbooks

Related questions

Q: A 13.5 lb box is placed on the ground. (a)What force (in lb) does the ground exert on the box?…

A: Given, Weight of the block placed on the ground, W = 13.5 lb

Q: A force F is applied to each of two ropes (of negligible weight) attached to opposite ends of a…

A: ∑Fy=0 Summation of all force components in y-direction.

Q: A 20 kg block lies on a smooth ramp that is inclined at 35°. What is the force, paralle to the ramp,…

Q: A lamp hangs vertically from a cord in a descending elevator that decelerates at 1.9 m/s2. (a) If…

Q: Two ropes apply a force to a boat. The first is 800 N in the positive x direction, and the second is…

Q: Two ropes apply a force to a boat. The first is 500 N in the positive x direction, and the second is…

A: The answer is below

Q: A horizontal force of 729 N is needed to overcome the force of static friction between a level floor…

A: Given: The applied force is 729 N. The coefficient of kinetic friction is 0.08. The mass of the…

Q: A 7.0-N force parallel to an incline is applied to a 1.0-kg crate. The ramp is tilted at 20° and is…

Q: (a) A force F pushes on a 25kg box as shown in the figure. The coefficient of static friction…

A: Mass of the box (M)=25 kg Coefficient of static friction between box and the surface (μs)=0.2 Angle…

Q: By pulling on a rope attached to the box, a clerk moves an Oreo crate with a mass of m down an aisle…

A: Consider the case when the box pulled at an upward angle and draw the free body diagram.

Q: An inclined plane 4.8 meters long and 1.2 meters high is used to raise a 500-kg load onto a truck.…

Q: Two crates connected by a rope of negligible mass lie on a horizontal surface. (Figure 1) Crate A…

A: A has mass mA and crate B has mass mBThe crates are pulled to the right at a constant velocity of…

Q: Imagine a landing craft approaching the surface of Callisto, one of Jupiter’s moons. If the engine…

A: a) At an upward force of F1=3260N the ship descends at a constant velocity which means that the net…

Q: A 1130-kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in…

A: Given information: The mass of the car (m) = 1130 kg The angle the cable makes with the surface (α)…

Q: What is the acceleration of the blocks? (b) What is the tension in the string? (c) If the mass of…

Q: A lamp hangs vertically from a cord in a descending elevator that decelerates at 2.4 m/s2. (a) If…

A: Given Downward acceleration a=2.4m/s2 Tension in the cord T=89 N

Q: 10 m long is stretched between a tree and a car. A man pulls with a force of 10 N at right angles…

A: Given values:- Rope stretched,(d)=10 m ----(1) Force applied by the man,(F)=10 N ----(2) Point…

Q: ng from the middle of a clothesline. The rope is attached at equal heights 24 units apart and the…

A: We know that here we have given that the rock hanging on the middle of the clothesline and the entre…

Q: An early submersible craft for deep-sea exploration was raised and lowered by a cable from a ship.…

Q: An elevator in a tall building is allowed to reach a maximum speed of 3.6 m/s going down. What…

A: Initial speed of the elevator,(u)=0 m/sec ----(1) [Initially at rest] The final speed of the…

Q: A child is walking along the sidewalk at a constant speed of 1 m/s while pulling his dog sitting in…

A: Speed of Child (v) = Mass of Dog (m) = 30 kgWeight of Wagon Force (F) = 60 NAngle

Q: A lamp hangs vertically from a cord in a descending elevator that decelerates at 1.7 m/s2. (a) If…

Q: A 10-lb block B rests as shown on a 20-lb bracket A. The coefficients of friction are μs= 0.30 and…

A: In order for the block B not to slide , the frictional force acting between block A and B , that is…

Q: Two ropes apply a force to a boat. The first is 400 N in the positive x direction, and the second is…

Q: A warehouse worker pushes a box with a mass of 11.6 kg in a horizontal plane at a constant speed of…

A: Fapp=μkN=μkmg

Q: An elevator in a tall building is allowed to reach a maximum speed of 3.5m/s going down. What must…

A: final speed, v = 0 initial speed, u = 3.5 m/s distance, d = 2.6 m mass, m = 1450 kg

Q: A 74.1-kg crate is suspended between the floor and the ceiling using two spring scales, one attached…

A: The mass of the crate m=74.1 kg The weight of the crate w=mg The reading in lower scale T2=120 N…

Q: The figure below shows a crate with a mass of m = 2.95 kg on a surface inclined at an angle of…

A: Mass of block, m=2.95 Kg Coefficient of static friction= 0.26 Inclination of of surface with…

Q: A truck is towing a 10,000-N car at a constant speed up a hill that makes an angle of a=5.0° above…

Concept explainers

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

Topic Video

Question

Bob traverses a chasm by stringing a rope between a tree on one side of the chasm and a
tree on the opposite side, 25 m away (see the figure below). Assume the rope can provide
a tension force of up to 29 kN before breaking, and use a "safety factor" of 10 (that is, the
rope should only be required to undergo a tension force of 2.9 kN). (a) If Bob's mass is
72.0 kg, determine the distance x that the rope must sag at a point halfway across if it is to
be within its recommended safety range. (b) If the rope sags by only one-fourth the
distance found in (a), determine the tension force in the rope. Will the rope break?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

As shown below, the coefficient of kinetic friction between the surface and the larger block is 0.20, and the coefficient of kinetic friction between the surface and the smaller block is 0.30. lf F=10Nand M=1.0kg , what is the tension in the connecting string?
By what factor does the drag force on a car increase as it goes from 65 to 110 km/h?
While sliding a couch across a floor, Andrea and Jennifer exert forces FA and FJ on the couch. Andrea’s force is due north with a magnitude of 130.0 N and Jennifer’s force is 32 east of north with a magnitude of 180.0 N. (a) Find the net force in component form. (b) Find the magnitude and direction of the net force. (c) If Andrea and Jennifer’s housemates, David and Stephanie, disagree with the move and want to prevent its relocation, with what combined forceFDS should they push so that the couch does not move?
Consider Figure 5.28. The driver attempts to get the car out of the mud by exerting a perpendicular force of 610.0 N, and the distance she pushes in the middle of the rope is 1.00 m while she stands 6.00 m away from the car on the left and 6.00 m away from the tree on the right. What is the tension Tin the rope, and how do you find the answer?
A 1.5-kg mass has an acceleration of (4.0 i 3.0 j )m/s2 . Only two forces act on the mass. If one of the forces is . what is the magnitude of the other force?
Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown below. The coefficient of kinetic friction between the blocks and the surface is 0.25. If each block has an acceleration of 2.0m/s2to the right, what is the magnitude Fof the applied force?
Three forces in the x-y plane act on a 4.40 kg mass: 14.90 N directed at 57o, 8.40 N directed at 168o, and 5.30 N directed at 195o. All angles are measured from the positive x-axis, with positive angles in the Counter-Clockwise direction. Calculate the magnitude of the acceleration. Calculate the direction of the resultant force using the same sign convention as above (in degrees).
You are climbing on a hill that is inclined at 15degrees with the horizontal and you wish tobuild a rope tow to pull yourself up. Ignoring friction, calculate the tension you needed on therope to give your body that has a mass of 45kg a 1.5 m/s^2 acceleration. What if you are toconsider the friction of 100N, what is the value of the tension and coefficient of friction?
(a) (b) (c) 8. A 20.0 kg box is placed on a 40.00 ramp, as shown. A force (F) of 225 N is applied to the box, causing it to slide down the ramp. The uk for the surfaces is 0.220. What is the normal force between the ramp and the box? What is the force of friction between the ramp and the box? What is the acceleration of the box down the ramp? STAREA MORANGUILLA
A rope 10 m long is stretched between a tree and a car. A man pulls with a force of 10 N at right angles to ang at the middle of point of the rope and moves this point 0.5m. Assuming no stretching of the rope (theoretical), what is the tension in the rope at the final position?
my and Tadiany 28. A block of of mass m, = 4=Ikg another mass m, =2 kg, are placed together (see figure) on an inclined plane with angle of inclination 9. Various values of A are given in List-I. The coefficient of friction between the block m, and the plane is always zero The.coefficient of static and dynamic friction between the blocķ m, and the plane are equal to u =0.3: 1Tn List-T expressiöns for the frictioni on block m, are given. Match the coirect expression of the friction in Lişt-II with the angles given in List-I, and the choose the correct option. The acceleration due to gravity is denoted by g. [Useful inforınation : tan tan List-I List-I (Р) 0 — 5° (1) m2g sine (Q) 0 = 10° (2) (m +m2)gsin 0 (R) 0 = 15° (3) um,g cos 0 (S) 0 = 20°:? (4) µ(m, + m2)g cose (а) Р-1, Q-1, R-1, S-3 (с) Р-2, Q-2, R-2, S-4 (b) Р-2, Q-2, R-2, S-3 (d) Р-2, Q-2, R-3, S-3
5N force is applied to the object. What will be the y-component of the same applied force if the x-component of the force is 3N?