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f=-kx
f=kx
k=f/x
k=(1*10)/(0.1*10^-2)= 10,000 N/m
but this choice is not availble

IS it 1 kg?

no its answer is 100

first year book of fsc

which page?

are you premed or pre-engr?

i m prepare entry test
this question is book kips

i m premed

i get it .......you are on the chapter from oscillations?

yes

the mass is 1 kg..... g=10m/s^2......so the external force acting on the spring is 10 newton

the extention in the string is 0.1cm=0.1*10^-2

divide the first by the second what do you get in N/m?

f=mg=kx
0.1cm=.001m
1kg*10m/s^2=k*0.001m
10N/.001m=10000N/m

The above options are incorrect because.
1kg*10m^s2=! 1000N/m*.001m or 100N/m *.001m and etc