A 5 kg block is sliding on rough horizontal surface with speed 10 m/s at the moment when it just - Physics - Magnetism And Matter

Question

A 5 kg block is sliding on rough horizontal surface with speed 10
m/s at the moment when it just starts compressing a uncompressed
spring of spring constant 400 N/m If kinetic friction force between
the block and surface is 10N , then the spring is compressed by
nearly

Anshu Agrawal · Accepted Answer

Dear student,
Change in Kinetic energy = Work done by all forces
Wf = Work done by spring
Wf = Work done by friction

Let the spring be compressed by x m
12mv2=12kx2+fx12×5×103×102=12×400×x2+10×xor 20000x2+x-25=0on solving x = 3
5cm

Regards

A 5 kg block is sliding on rough horizontal surface with speed 10 m/s at the moment when it just starts compressing a uncompressed spring of spring constant 400 N/m. If kinetic friction force between the block and surface is 10N , then the spring is compressed by nearly