1. You are lowering a bucket of water (m 3.35 kg) into a well. You are holding onto a rope that is attached to the bucket, but you cannot provide enough tension to maintain a constant speed, so the bucket is speeding up as it moves down. a) Draw a free-body diagram of the bucket. The bucket was initially at rest and, while you were applying a constant tension, the bucket sped up to 1.61 m/s while moving 1.80 m down. b) Determine the magnitude of the bucket's acceleration. c) Determine the magnitude of the tension in the rope. When the bucket is 1.80 m below its starting point, you accidentally let go of the rope. d) Draw a free-body diagram of the bucket after you let go of the rope. e) The whote well is 4.00 meters deep. Determine the bucket's speed when it hits the bottom.

1. You are lowering a bucket of water (m 3.35 kg) into a well. You are holding onto a rope that is attached to the bucket, but you cannot provide enough tension to maintain a constant speed, so the bucket is speeding up as it moves down. a) Draw a free-body diagram of the bucket. The bucket was initially at rest and, while you were applying a constant tension, the bucket sped up to 1.61 m/s while moving 1.80 m down. b) Determine the magnitude of the bucket's acceleration. c) Determine the magnitude of the tension in the rope. When the bucket is 1.80 m below its starting point, you accidentally let go of the rope. d) Draw a free-body diagram of the bucket after you let go of the rope. e) The whote well is 4.00 meters deep. Determine the bucket's speed when it hits the bottom.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

1. You are lowering a bucket of water (m 3.35 kg) into a well. You are holding onto a rope that is
attached to the bucket, but you cannot provide enough tension to maintain a constant speed, so
the bucket is speeding up as it moves down.
a) Draw a free-body diagram of the bucket.
The bucket was initially at rest and, while you were applying a constant tension, the bucket sped up to
1.61 m/s while moving 1.80 m down.
b) Determine the magnitude of the bucket's acceleration.
c) Determine the magnitude of the tension in the rope.
When the bucket is 1.80 m below its starting point, you accidentally let go of the rope.
d) Draw a free-body diagram of the bucket after you let go of the rope.
e) The whole well is 4.00 meters deep. Determine the bucket's speed when it hits the bottom.
2. A3.00 kg block is placed at the top of a 21.0° rough inclined plane with is = 0.325 and Uk =0.215
and a length of 1.78 m.
a) Draw a free-body diagram of the block.
b) Prove that, if released from rest, the block will immediately start sliding.
c) Find the magnitude of the biock's acceleration.
d) Calculate the time the block takes to reach the end of the incline.

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Step 1: Given that,

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Step 2: Drawing the Free-body diagram.

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Step 3: Applying the kinematic equation to find the magnitude of the acceleration.

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Step 4: Solution for (2)

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Step 5: The free body diagram of the system is given below.

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Step 6: For sliding, the frictional force is kinetic in nature.

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