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 (Fig. P5.41), Nick pulls on the loose end of the rope with such a force that the spring scale reads 250 N. Nick’s true weight is 320 N, and the chair weighs 160 N. Nick’s feet are not touching the ground. (a) Draw one pair of diagrams showing the forces for Nick and the chair considered as separate systems and another diagram for Nick and the chair considered as one system. (b) Show that the acceleration of the system is upward and find its magnitude. (c) Find the force Nick exerts on the chair. Figure P5.41 Problems 41 and 44.
Solution Summary: The author shows the free-body diagrams for nick and chair separately and as a single system.
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 (Fig. P5.41), Nick pulls on the loose end of the rope with such a force that the spring scale reads 250 N. Nick’s true weight is 320 N, and the chair weighs 160 N. Nick’s feet are not touching the ground. (a) Draw one pair of diagrams showing the forces for Nick and the chair considered as separate systems and another diagram for Nick and the chair considered as one system. (b) Show that the acceleration of the system is upward and find its magnitude. (c) Find the force Nick exerts on the chair.
At the end of a roller coaster ride, the cars must slow to a stop, but the magnitude of the acceleration cannot exceed 1.6 g's. Given a car with a mass of 2,400 kg (including the passengers), what is the magnitude of the maximum allowable force (in N)?
You drop from rest from a platform 10.0 m10.0 m above the surface of a 6.00 m6.00 m deep pool. Assuming that you enter the water vertically and move through the water with constant acceleration, what is the minimum average force FF the water must exert on you to prevent you from hitting the bottom of the pool? Assume your mass is m=65.0 kgm=65.0 kg and that air resistance during the fall is negligible.
An impala is an African antelope capable of a remarkable vertical leap. In one recorded leap, a 45 kg impala went into a deep crouch, pushed straight up for 0.21 s, and reached a height of 2.5 m above the ground. To achieve this vertical leap, with what force did the impala push down on the ground? What is the ratio of this force to the antelope’s weight?
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