An inventive child wants to reach an apple in a tree without climbing the tree.

Question

An inventive child wants to reach an apple in a tree without climbing the tree. Sitting in a chair connected to a rope that passes over a frictionless pulley (see figure), the child pulls on the loose end of the rope with such a force that the spring scale reads 303 N. The child's true weight is 314 N, and the chair weighs 160 N. The child's feet are not touching the ground.

An inventive child wants to reach an apple in a tree without climbing the tree. Sitting in a chair connected to a rope that passes over a frictionless pulley (see figure), the child pulls on the loose end of the rope with such a force that the spring scale reads 303 N. The child's true weight is 314 N, and the chair weighs 160 N. The child's feet are not touching the ground.

Explanation / Answer

acceleration of child =( 606-314-160)/32 = 132/32 = 4.125 m/s^2

for second part N - M*g = M*a hence N = M*g + M*a hence force exerted by child on seat = 32*14.125 = 452 Newton

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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