Question

A 5 kg block is sliding on rough horizontal surface with speed 4 m/s at the moment when it just starts compressing a uncompressed spring of the spring constant 100 N/m . If the kinetic friction force between the block ans surface is 10 N, then the spring is maximum compressed by....? ANS== 4/5 I need the explanation pls.. do not post irrrelevant answers . irrelevant answers will be reported...

Answer 1

Answer:

Explanation:

GIVEN:-

Mass of Block (m) = 5 kg

Velocity of Block (v) = 4 m/s

Spring Constant (k) = 100 N/m

The kinetic friction force between the block and surface = 10 N

☞ See the above attachment picture .

☞ We have know that,

Change in Kinetic energy = work done by all forces .

(╬) Here ,

☞ where ,

∆K = change in Kinetic energy = 1/2×mv²

☞ Now,

➜ To solve the above quadratic equation we get,

[Note:- Distance is always Positive]

☞ Therefore, The spring is maximum compresses by “4/5 m”.

Answer 2

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The spring is maximum compresses by “4/5 m”.