A block of mass m is attached to a spring, spring constant k. The spring is compressed by amount of A from the point at which the spring is unstretched. The force of the spring is F =-(kx - bx³). Here b is a known constant. The coefficient of friction between the block and the surface is µ. a) Prove that the force of the spring is a conservative force. х x=-A x=0 b) Find the equation that could be solved to find x, the point at which the block will stop if released from rest. Do not solve the equation.
A block of mass m is attached to a spring, spring constant k. The spring is compressed by amount of A from the point at which the spring is unstretched. The force of the spring is F =-(kx - bx³). Here b is a known constant. The coefficient of friction between the block and the surface is µ. a) Prove that the force of the spring is a conservative force. х x=-A x=0 b) Find the equation that could be solved to find x, the point at which the block will stop if released from rest. Do not solve the equation.
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Transcribed Image Text:A block of mass m is attached to a spring, spring constant k. The spring is compressed by amount of A
from the point at which the spring is unstretched. The force of the spring is F =-(kx - bx³). Here b is a
known constant. The coefficient of friction between the block and the surface is µ.
a) Prove that the force of the spring is a conservative force.
х
x=-A
x=0
b) Find the equation that could be solved to find x, the point at which the block will stop if released
from rest. Do not solve the equation.
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