Question
Asked Feb 28, 2019
515 views

5. The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of v = 3.4 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times?

 

fullscreen
check_circle

Expert Answer

Step 1

The work performed by all nonconservative forces on the car as it moves around the circular track is zero. According to the work energy theorem, the total mechanical energy of the car must then remain constant. Take the lowest point in the circular track  as the initial point and the diametrically opposite point on the circular track  as the final point.  Take the origin at the center of the circular track.The diagram of motion of the car is 

fullscreen
Step 2

The equation for the conservation of mechanical energy is 

fullscreen
Step 3

When the car moves in the circular track the centripetal force acts on it. At the top of the track of the car, the centripetal force ac...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: if a charge of -3 x 10^-6 C were allowed to fall through a potential difference of +400V, the change...

A: Change in potential energy is,

question_answer

Q: Through experiment, the speed of light passing through material A is 1.4 times greater than when the...

A: Refractive index of a material is defined as the ratio of speed of light in vacuum to the speed of l...

question_answer

Q: Exhibit 11-1 Two blocks of masses m and m2 are connected by a light cord that passes over a pulley o...

A: Initially, the masses are at rest, that is, the velocity of both the blocks and the pulley is 0.

question_answer

Q: Please show me how to work this. Please don't round any figures.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

question_answer

Q: enter return shift 0 ommand CO Tarrant County Community College 2019SP-PHYS-2425-40567(9): Universit...

A: The Bernoulli’s principle can be applied at bottom and top of the airplane.

question_answer

Q: A traveler pulls on a suitcase strap at an angle of 36 degrees above the horizontal. If 555 J of wor...

A: The work done on the strap=555 J.The distance moved by the strap =15 m.The angle made with the horiz...

question_answer

Q: Chapter 23, Problem 042 Two large metal plates of area 1.3 m face each other, 5.6 cm apart, with equ...

A: The expression for electric field of the two current carrying parallel metal plates is,

question_answer

Q: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The f...

A: Solution:The final relative velocity can be calculated using following steps:Given:

question_answer

Q: A 2 meter tall stick is standing up, balanced on it's end. The stick then loses its balance, and sta...

A: Click to see the answer