High School

We appreciate your visit to A 140 kg bucket is lowered vertically by a rope in which there is 193 N of tension at a given instant Part A Determine. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A 140 kg bucket is lowered vertically by a rope in which there is 193 N of tension at a given instant.

**Part A:**
Determine the magnitude of the acceleration of the bucket. Express your answer to two significant figures and include the appropriate units.

**Part B:**
Is it moving up or down?
A. Up
B. Down

Answer :

Final answer:

The magnitude of the acceleration of the bucket is approximately 8.42 m/s^2. The bucket is moving in the upward direction.

Explanation:

To determine the magnitude of the acceleration of the bucket, we can use Newton's second law of motion. The net force acting on the bucket is equal to the tension in the rope minus the weight of the bucket.

Given:

  • Mass of the bucket (m) = 140 kg
  • Tension in the rope (T) = 193 N
  • Acceleration due to gravity (g) = 9.8 m/s^2

Using the formula for net force, we have:

Net force = T - mg

Substituting the given values:

Net force = 193 N - (140 kg)(9.8 m/s^2)

Calculating the net force:

Net force = 193 N - 1372 N

Net force = -1179 N

The negative sign indicates that the net force is directed upwards.

Now, we can use Newton's second law of motion to calculate the acceleration:

Net force = ma

Substituting the net force and mass:

-1179 N = (140 kg)a

Calculating the acceleration:

a = (-1179 N) / (140 kg)

a ≈ -8.42 m/s^2

The magnitude of the acceleration of the bucket is approximately 8.42 m/s^2.

Therefore, the answer to Part A is that the magnitude of the acceleration of the bucket is approximately 8.42 m/s^2.

For Part B, since the acceleration is negative, the bucket is moving in the upward direction.

Learn more about acceleration and direction of a vertically lowered bucket here:

https://brainly.com/question/13651879

#SPJ14

Thanks for taking the time to read A 140 kg bucket is lowered vertically by a rope in which there is 193 N of tension at a given instant Part A Determine. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada