A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing the spring a distance of ∆x as shown in the figure. The spring constant is 664 N/m. When released, the block travels along a frictionless, horizontal surface to point B, the bottom of a vertical circular track of radius 0.5 m, and continues to move up the track. The speed of the block at the bottom of the track is 16 m/s, and the block experiences an average frictional force of 6 N while sliding up the track. The acceleration of gravity is 9.8 m/s^2. a) What is ∆x?
A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing
the spring a distance of ∆x as shown in the figure. The spring constant is 664 N/m. When
released, the block travels along a frictionless,
horizontal surface to point B, the bottom of
a vertical circular track of radius 0.5 m, and
continues to move up the track. The speed
of the block at the bottom of the track is
16 m/s, and the block experiences an average frictional force of 6 N while sliding up the
track.
The acceleration of gravity is 9.8 m/s^2.
a) What is ∆x?
Answer in units of m.
b) What is the speed of the block at the top of
the track?
Answer in units of m/s.
c) What is the centripetal acceleration of the
block at the top of the track?
Answer in units of m/s^2
![VB
k
--
В](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3083a394-edcd-43cd-8705-3794807b52ec%2F70552df0-13b2-4256-b2e6-3a46d03f55be%2Ftrf5aal_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)