Question

You attach a cart with a mass of 0.92 kg to a spring and compress the cart-

spring system. The spring constant for the spring is 130 N/m. Your objective is
to propel the cart with a velocity of 1.4 m/s along a frictionless surface. How
need to compress the spring in order to meet your target velocity?
far do
you

Answer 1

F = - K X force exerted by compressed spring

F X = 1/2 M V^2 energy (work) required to produce a speed V for mass M

K X * X = 1/2 M V^2 direction of F is the same as that of V

X^2 = M V^2 / K combining terms

X = (M / K)^1/2 V

X = (.92 / 130)^1/2 * 1.4 = .118 m