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?

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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
Transcribed Image Text:VB k -- В
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