A block of mass m = 3.5 kg is attached to a spring with spring constant k= 730 N/m. It is initially at rest on an inclined plane that is at an angle of 0= 21° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is u=0.11. In the initial position, where the spring is compressed by a distance of d= 0.12 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero. (a) What is the block's initial mechanical energy, Eo in J? (b) If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion. Id 1 M

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
Section: Chapter Questions
Problem 61P: An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at...
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A block of mass m = 3.5 kg is attached to a spring with spring constant k= 730
N/m. It is initially at rest on an inclined plane that is at an angle of 0= 21° with respect to the
horizontal, and the coefficient of kinetic friction between the block and the plane is u=0.11. In the
initial position, where the spring is compressed by a distance of d= 0.12 m, the mass is at its lowest
position and the spring is compressed the maximum amount. Take the initial gravitational energy of
the block as zero.
(a) What is the block's initial mechanical energy, Eo in J?
(b) If the spring pushes the block up the incline, what distance, L in meters, will the block travel before
coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion.
Id 1
M
Transcribed Image Text:A block of mass m = 3.5 kg is attached to a spring with spring constant k= 730 N/m. It is initially at rest on an inclined plane that is at an angle of 0= 21° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is u=0.11. In the initial position, where the spring is compressed by a distance of d= 0.12 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero. (a) What is the block's initial mechanical energy, Eo in J? (b) If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion. Id 1 M
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