Answer:
1373.4 N/m
Explanation:
Hooke's law states that the extension of a spring and force are related by the expression, F=kx where k is spring constant, x is extension of spring and F is the applied force. Making k the subject of the formula then

Also, F=gm hence the above formula is modified as

Taking g as 9.81 m/s2 , x as 0.5 m and m as 70 kg then

F=ma
a=F/m
a=2000/1000
a=2 m/s^2
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Answer:
Part a)
A = 0.066 m
Part b)
maximum speed = 0.58 m/s
Explanation:
As we know that angular frequency of spring block system is given as

here we know
m = 3.5 kg
k = 270 N/m
now we have


Part a)
Speed of SHM at distance x = 0.020 m from its equilibrium position is given as



Part b)
Maximum speed of SHM at its mean position is given as


Efficiency = (useful output) / (input)
Efficiency = (35 J) / (125 J) = 0.28 = 28%