Expand your horizons with the diverse and informative answers found on IDNLearn.com. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

A 1.50-kg bucket of water is tied by a rope and whirled in a circle with a radius of 1.00 m. At the bottom of the circular loop, the speed of the bucket is 6.00 m/s. Determine the acceleration, the net force and the individual force values when the bucket is at the bottom of the circular loop.

Sagot :

The  centripetal acceleration of the bucket at the bottom of the circular loop is 36 m/s².

The net force at the bottom of the circular loop is 68.7 N.

The given parameters:

  • Mass of the bucket, m = 1.5 kg
  • Radius of the circle, r = 1 m
  • Speed of the bucket at bottom, v = 6 m/s

What is centripetal acceleration?

  • Centripetal acceleration is the radial acceleration of an object in a circular path.

The  centripetal acceleration of the bucket at the bottom of the circular loop is calculated as follows;

[tex]a_c = \frac{v^2}{r} \\\\a_c = \frac{6^2}{1} \\\\a_c = 36 \ m/s^2[/tex]

The net force at the bottom of the circular loop is calculated as follows;

[tex]F_{net} = m(g + a_c)\\\\F_{net} = 1.5(9.8 + 36)\\\\F_{net} = 68.7 \ N[/tex]

Learn more about centripetal acceleration here: https://brainly.com/question/79801

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.