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Question
B8
A block weighing 2 kg is suspended from a hook in the ceiling of a truck trailer by a hanging bungee cord. The cord has a cross-sectional area 45 mm and an unstretched length of 38 cm. Part I: Before Acceleration The truck begins stopped at a red light on a state highway. While stopped, the block hangs straight down to a distance 43 cm below the hook that attaches the bungee cord to the ceiling of the truck. (a) what is the spring constant of the cord? k= 2 Nim II. During Acceleration After the light turns green, the truck begins to accelerate. As It does, the spring stretches to a length 53 cm. (b) What is the magnitude of the force on the block? T- se.n The bungee cord stretches at an angle (the stretching is in the same direction as the cord, itself), The stretching can be broken down into components, horizontal and vertical based on the forces applied. (e) How much does the cord stretch in the z-direction? 496 cm (4) What is the direction of the cord form the block to the hook? x 42 % () What is the acceleration of the truck in order to suspend the block in this direction? - 294 m2 (9) what is the positlon of the block with the hook as the origin? ,-0 em x9496 cm III. After Acceleration (h) When the truck reaches its cruising speed of 20.8 m/s, what is the position of the opposite end of the bungee cord with respect to the hook? = 725 cm x -o om
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Transcribed Image Text:A block weighing 2 kg is suspended from a hook in the ceiling of a truck trailer by a hanging bungee cord. The cord has a cross-sectional area 45 mm and an unstretched length of 38 cm. Part I: Before Acceleration The truck begins stopped at a red light on a state highway. While stopped, the block hangs straight down to a distance 43 cm below the hook that attaches the bungee cord to the ceiling of the truck. (a) what is the spring constant of the cord? k= 2 Nim II. During Acceleration After the light turns green, the truck begins to accelerate. As It does, the spring stretches to a length 53 cm. (b) What is the magnitude of the force on the block? T- se.n The bungee cord stretches at an angle (the stretching is in the same direction as the cord, itself), The stretching can be broken down into components, horizontal and vertical based on the forces applied. (e) How much does the cord stretch in the z-direction? 496 cm (4) What is the direction of the cord form the block to the hook? x 42 % () What is the acceleration of the truck in order to suspend the block in this direction? - 294 m2 (9) what is the positlon of the block with the hook as the origin? ,-0 em x9496 cm III. After Acceleration (h) When the truck reaches its cruising speed of 20.8 m/s, what is the position of the opposite end of the bungee cord with respect to the hook? = 725 cm x -o om
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