Questions
A 2kg Block slides on a horizontal floor with speed of 4 m/s. It strikes a uncompressed spring and compresses it till the block is motionless. The kinetic friction force is 15N and spring constant is 10,000 N/m. The spring compressed by
detailed solution
Correct option is B
Let the spring compresses by x Initial K.E. of the mass = P.E. of the spring + work done due to friction KE of the mass= 12mv2; PE of spring= 12kx2;work done by friction=friction force . displacement substitute 12mv2= 12kx2+f.x substitute the given values ∴ 12 ×2 ×42 = 12×10000× x2+15x solve the quadratic equation x=0.055 m spring is compressed by 5.5 cmTalk to our academic expert!
Similar Questions
A spring 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring through 1 mm, then work done (in J) in stretching the spring through 40 mm is
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