How Does a Cookie Jar's Motion on an Incline Relate to Physics Principles?

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SUMMARY

The discussion focuses on two physics problems involving motion on an incline and pendulum dynamics. The first problem involves a cookie jar moving up a 39.7° incline with a speed of 1.48 m/s and a coefficient of kinetic friction of 0.15, requiring calculations for its further distance traveled and speed upon returning. The second problem examines a pendulum with an 87 cm length and a 0.75 kg bob, determining the initial angle when released and the angle at a speed of 1.1 m/s. Key principles include Newton's laws and energy conservation.

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1.) A cookie jar is moving up a 39.7o incline. At a point 0.56 m from the bottom of the incline (measured along the incline), it has a speed of 1.48 m/s. The coefficient of kinetic friction between the jar and incline is 0.15.

(a) How much farther up the incline will the jar move?

(b) How fast will it be going when it slides back to the bottom of the incline?

2.) A pendulum (87cm long) with a 0.75kg bob is released from rest at an initial angle of theta with the vertical. At the bottom of the swing, the speed of the bob is 2.9m/s. Find the initial angle theta:

A pendulum (87cm long) with a 0.75kg bob is released from rest at an initial angle of theta with the vertical. At the bottom of the swing, the speed of the bob is 2.9m/s. What angle does the pendulum make with the vertical when the speed of the bob is 1.1 m/s?

Any help would be greatly appreciated.
 
Last edited:
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Please let us know what approach you are supposed to be using (e.g. F=ma, work-energy, etc.) and describe what you've tried so far and where you are stuck.

https://www.physicsforums.com/showthread.php?t=94379
 
Last edited:

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