I dont need the work shown I just need the answers in the

Solution

a) W_block = 1/2 k y² = 1/2 * 406 * 0.185²= 6.95 J

b) W_spring = - W_block= - 6.95 J

c) U_top = U_bottom

m g h₀ = 1/2 k y² - m g y

h₀ = ( 1/2 k y² - m g y ) / (m g) = ( 6.95 - 0.700 * 9.8 * 0.185) / (0.700 * 9.8)

h₀ = 0.828 m

d) h₀ = 2 * 0.828 = 1.656 m

1/2 k y²- m g y - m g 2h₀

1/2 * 406 * y² - (0.700 * 9.8 * y) - (0.700 * 9.8 * 1.656) = 0

203 y² - 6.86 y - 11.36 = 0

y = 0.254 m