A large crate is suspended from the end of a vertical rope. Is the tension in the rope greater when the crate is at rest or when it is moving upward at constant speed? If the crate is traveling upward, is the tension in the rope greater when the crate is speeding up or when it is slowing down? In each case, explain in terms of Newton’s laws of motion.
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A large crate is suspended from the end of a vertical rope. Is the
tension in the rope greater when the crate is at rest or when it is moving
upward at constant speed? If the crate is traveling upward, is the tension
in the rope greater when the crate is speeding up or when it is slowing
down? In each case, explain in terms of Newton’s laws of motion.
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- A bungee cord has a 100g mass hanging from it. What is the tension in the bungee cord?You are in an elevator that is initially at rest. At t=0, it heads downward and speeds up as a function of time. It experiences a velocity given by v(t) = (−2.00t²ĵ)² m S a) What is the normal force that you experience at t=1.20 s? Assume you have a mass of 70.0 kg. b) How far did the elevator drop in 1.20 s?A Block-Spring System A block of mass 1.0 kg is attached to horizontal spring that has a force constant of 2,000 N/m as shown in figure (a). The spring is compressed 3.0 cm and then released from rest as in figure (b). (a) A block attached to a spring is pushed inward from an initial position x -0 by an external agent. (b) At position x, the block is released from rest and the spring pushes it to the right. x = 0 (For the following, when entering a mathematical expression, do not substitute numerical values; use variables only.) (a) Calculate the speed of the block as it passes through the equilibrium positio x = 0 if the surface is frictionle SOLUTION Conceptualize This situation has been discussed before, and it is easy to visualize the block being pushed to the right by the spring and moving with some speed at x = 0. Categorize We identify the system as the block and model the block as [--Select-- Vsystem. Analyze In this situation, the block starts with v, = 0 at x, = -3.0 cm, and…
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