Question

Can someone please help with these?

Answer 1

1 )

using relation

T = 2$\pi$ ( L/g )^1/2

T g^1/2 = constant

T₁ g₁^1/2 = T² g₂^1/2

6 x 9.8^1/2 = T₂ x 1.63^1/2  

T₂ = 14.711 sec

2 )

using conservation of energy

m g ( 2 + x ) = 1/2 k x²   

99.2 X 9.8 ( 2 + x ) = 0.5 x 1.4 x 10⁴ x x²  

1944.32 + 972.16 x = 7000 x²

7000 x² - 972.16 x - 1944.32 = 0

by solving

x = 0.6010 m

or

x = 60.1 cm