A spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.31 kg is placed on the incline at a distance d = 0.279 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = 0.750 m/s. The incline angle is 0 = 20.0°, the spring constant is k = 455 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest? 0.124 X m www

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Chapter6: Energy Of A System
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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 spring is attached to an inclined plane as shown in the figure. block of mass m = 2.31 kg is placed on the incline at a
distance d = 0.279 m along the incline from the end of the spring. The block is given a quick shove and moves down the
incline with an initial speed v = 0.750 m/s. The incline angle is 0 = 20.0°, the spring constant is k = 455 N/m, and we can
assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to
rest?
m
0
k
www.
0.124
X
Apply the work-energy theorem. The force of gravity does positive work on the block as it slides down the incline through
the total distance (d + x), and the spring force does negative work on the block as it slides through distance x. Note that
the block has initial kinetic energy but the final kinetic energy is zero. Take the zero level of gravitational potential energy
to be where the block momentarily comes to rest. m
Transcribed Image Text:A spring is attached to an inclined plane as shown in the figure. block of mass m = 2.31 kg is placed on the incline at a distance d = 0.279 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = 0.750 m/s. The incline angle is 0 = 20.0°, the spring constant is k = 455 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest? m 0 k www. 0.124 X Apply the work-energy theorem. The force of gravity does positive work on the block as it slides down the incline through the total distance (d + x), and the spring force does negative work on the block as it slides through distance x. Note that the block has initial kinetic energy but the final kinetic energy is zero. Take the zero level of gravitational potential energy to be where the block momentarily comes to rest. m
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