The Same Constant Force Is Used to Accelerate Two Carts $\sqrt { 2 }$

Multiple Choice

The same constant force is used to accelerate two carts of the same mass,initially at rest,on horizontal frictionless tracks.The force is applied to cart A for twice as long a time as it is applied to cart B.The work the force does on A is W_A;that on B is W_B.Which statement is correct?

A) W_A = W_B.
B) W_A = $\sqrt { 2 }$ W_B.
C) W_A = 2 W_B.
D) W_A = 4 W_B.
E) W_B = 2 W_A.