Question 1: 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, the child pulls on the loose end of the rope with such a force that the spring scale reads 300 N. The child's true weight is 270 N, and the chair weighs 160 N. (a) Show that the acceleration of the child-chair system is upward and find its magnitude. _______ m/s2 (b) Find the force the child exerts on the seat of the chair. _________ N
Question 1:
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, the child pulls on the loose end of the rope with such a force that the spring scale reads 300 N. The child's true weight is 270 N, and the chair weighs 160 N.
(a) Show that the acceleration of the child-chair system is upward and find its magnitude.
_______ m/s2
(b) Find the force the child exerts on the seat of the chair.
_________ N
Question 2:
A high diver of mass 50.0 kg jumps off a board 10.0 m above the water. If her downward motion is stopped 1.90 s after she enters the water, what average force did the water exert on her?
______ N
Question 3:
A 6.90-kg object is initially moving so that its x-component of velocity is 6.00 m/s and y-component of velocity is -1.60 m/s.
_______J
(b) Find the change in kinetic energy of the object it its velocity changes so that its new x-component is 8.50 m/s and its new y-component is 5.00 m/s.
_______ J
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