Four springs are stretched to the same distance from the
equilibrium position. The spring constants are listed in the
table,
Which lists the springs based on the amount of elastic
potential energy, from greatest to least?
Spring
X, Y, W, Z
X, W, Y, Z
Z, W, Y, X
Z, Y, W, X
Spring Constant (N/m)
24
35
22
15
w
х
Y
7

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft