When the cable breaks (10 points) A 7.50 kg crate starts fro…
When the cable breaks (10 points) A 7.50 kg crate starts from rest on a level floor. A cable pulls rightward with 54.0 N at 35.0° above the horizontal. The kinetic friction coefficient is 0.180 . The cable breaks 1.60 s after the crate starts moving. The crate keeps sliding and eventually stops. Take right and up as positive. Use g = 9.80 m/s² and kinetic friction while the crate is sliding. Show your work. Draw two free-body diagrams: one while the cable is pulling and one after it breaks. Label the forces and identify what changes. (2 pts) Find the normal force and kinetic friction during each part of the motion. Explain why friction changes after the cable breaks. (2 pts) Write the horizontal force equation for each part of the motion and find both signed accelerations. (2 pts) Find the speed at the instant the cable breaks. (1 pt) Find how much farther the crate slides before stopping. Show the equation and your substitutions. (2 pts) Sketch velocity versus time from release to rest. Mark when the cable breaks and show both slopes. Why does the velocity not suddenly jump at the break? (1 pt) Upload ONE PDF at the end of the exam containing all of your written solutions. Do not upload a separate file for this question.
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