A child's toy consists of a m = 31 g monkey suspended from a spring of negligible mass and spring constant k .
View the step-by-step solution to:

Question

A child's toy consists of a m = 31 g monkey suspended from a spring of

negligible mass and spring constant k. When the toy monkey is first hung on the spring and the system reaches equilibrium, the spring has stretched a distance of x = 15 cm, as shown in the diagram. This toy is so adorable you pull the monkey down an additional d = 5.9 cm from equilibrium and release it from rest, and smile with delight as it bounces playfully up and down.

Using the given information, determine the spring constant, k, in Newtons per meter, of the spring. 

What is the potential energy, Ebottom, in joules, stored in the stretched spring immediately before you release it. 

If the system has zero o gravitational potential energy at the lowest point of the motion. Derive an expression for the total mechanical energy, Eequilibrium, of the system as the monkey passes through the equilibrium position in terms of mxdgk, and the speed of the monkey, ve

What is the the speed of the monkey, ve, in meters per second, as it passes through equilibrium. 

Derive an expression for the total mechanical energy of the system as the monkey reaches the top of the motion, Etop, in terms of mxdk, the maximum height above the bottom of the motion, hmax, and the variables available in the palette. 

What is the maximum displacement, h, in centimeters, above the equilibrium position, that the monkey reaches. 

Top Answer

1)The spring constant is 2 . 0 2 5 N / m . 2)The energy stored in the spring is 0 . 0 4 4 J... View the full answer

Sign up to view the full answer

Other Answers

1)The spring constant is 2 . 0 3 N / m . . 2)The energy stored in the spring is 0 . 0 4 4 3 J... View the full answer

19735003.JPG

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question