Item 6 Part A The two trees in the figure are 7.0 m apart. A back- packer is try

Question

Item 6 Part A The two trees in the figure are 7.0 m apart. A back- packer is trying to lift his pack out of the reach of bears. Figure 1) Calculate the magnitude of the force F that he must exert downward to hold a 17-kg backpack so that the rope sags at its midpoint by 1.3 m gnore the friction between the rope and the branch on the left. Express your answer using two significant figures. Submit My Answers Give Up I Figure 1 of 1 Part B Calculate the magnitude of the force F that he must exert downward to hold a 17-kg backpack so that the rope sags at its midpoint by 0.17 m Express your answer using two significant figures. Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

part A)

if the midpoint sags 1.3 m

angle of rope with horizontal , theta = arcsin(1.3/(7/2))

theta = 21.8 degree

let the tension in the rope is T

2 *T * sin(theta) = m * g

2 * T * sin(21.8 degree) = 17 * 9.8

T = 224 N

the tension in the string is 224 N

part B)

if the midpoint sags 0.17 m

angle of rope with horizontal , theta = arcsin(0.17/(7/2))

theta = 2.78 degree

let the tension in the rope is T

2 *T * sin(theta) = m * g

2 * T * sin(2.78 degree) = 17 * 9.8

T = 1717 N

the tension in the string is 1717 N

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.