An inventive child named Nick 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 below), Nick pulls on the loose end of the rope with such a force that the spring scale reads 350 N. Nick's true weight is 290 N, and the chair weighs 160 N. Nick's feet are not touching the ground.

(a) Find the magnitude of acceleration on the system.

(b) Find the force Nick exerts on the chair.

Question

An inventive child named Nick 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 below), Nick pulls on the loose end of the rope with such a force that the spring scale reads 350 N. Nick's true weight is 290 N, and the chair weighs 160 N. Nick's feet are not touching the ground. 

(a) Find the magnitude of acceleration on the system.

(b) Find the force Nick exerts on the chair.