4. Suppose a block of mass m slides over a surface with kinetic friction coef- ficient towards a spring with spring constant k. The block reaches the spring with spring with speed vo. (a) How far is the spring compressed at maximum compression? Give your answer in terms of m, k, k, and vo. (b) What is an expression for the maximum value that vo could be in order for the spring to remain maximally compressed, no matter what

Principles of Physics: A Calculus-Based Text
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Chapter7: Conservation Of Energy
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please answer only using algebra, no calculus

4. Suppose a block of mass m slides over a surface with kinetic friction coef-
ficient towards a spring with spring constant k. The block reaches the
spring with spring with speed vo.
(a) How far is the spring compressed at maximum compression? Give
your answer in terms of m, k, pk, and vo.
(b) What is an expression for the maximum value that vo could be in
order for the spring to remain maximally compressed, no matter what
material the block and surface are? Give your answer in terms of
m, k, pk. Hint: the coefficient of static friction is always greater than
the coefficient of kinetic friction.
Transcribed Image Text:4. Suppose a block of mass m slides over a surface with kinetic friction coef- ficient towards a spring with spring constant k. The block reaches the spring with spring with speed vo. (a) How far is the spring compressed at maximum compression? Give your answer in terms of m, k, pk, and vo. (b) What is an expression for the maximum value that vo could be in order for the spring to remain maximally compressed, no matter what material the block and surface are? Give your answer in terms of m, k, pk. Hint: the coefficient of static friction is always greater than the coefficient of kinetic friction.
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