Vertical Forces and Acceleration Video Lessons

Concept

# Problem: A 6 kg bucket of water is being pulled straight up by a string at a constant speed.(a) What is the tension on the string?(b) At a certain point, the speed of the bucket begins to change. The bucket now has an upward constant acceleration of magnitude 3 m/s2. What is the tension in the rope now?(c) Now assume that the bucket has a downward acceleration, with a constant acceleration of magnitude 3 m/s2. What is the tension in the rope?

###### FREE Expert Solution

Newton's Second Law Equation:

$\overline{){\mathbf{\Sigma F}}{\mathbf{=}}{\mathbf{ma}}}$

(a) At a constant velocity, the acceleration is zero:

T - mg = 0

T = mg

• m = 6kg
• g = 9.8 m/s2
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###### Problem Details

A 6 kg bucket of water is being pulled straight up by a string at a constant speed.
(a) What is the tension on the string?
(b) At a certain point, the speed of the bucket begins to change. The bucket now has an upward constant acceleration of magnitude 3 m/s2. What is the tension in the rope now?
(c) Now assume that the bucket has a downward acceleration, with a constant acceleration of magnitude 3 m/s2. What is the tension in the rope?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Vertical Forces and Acceleration concept. You can view video lessons to learn Vertical Forces and Acceleration. Or if you need more Vertical Forces and Acceleration practice, you can also practice Vertical Forces and Acceleration practice problems.

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Based on our data, we think this problem is relevant for Professor Kulyk's class at UCF.