1.The same horizontal force, of magnitude F, is appliedto two different blocks, of mass m and 3m Theblocks move on a frictionless surface and both blocks begin fromrest. If each block moves the same distance as the force isapplied, which one of the following sentences is true?

A)The lighter block acquires 9 times as much kinetic energy asthe heavier block.

B)The two blocks acquire the same kinetic energy.

C)The heavier block acquires 3 times as much kinetic energy asthe lighter block.

D)The lighter block acquires 3 times as much kinetic energy asthe heavier block.

E)The heavier block acquires 9 times as much kinetic energy asthe lighter block.

Note: I initially came up with C as my answer, but it issupposably wrong.

1.1 Two identical objects of the same mass, initially at rest,are accelerated through the same distance by different forces suchthat one object gains velocity twice that of the other object. Onecan conclude that the force on the faster object is _________

A)10 times that of the slower object

B)Half that of the slower object

C)16 times that of the slower object

D)Twice that of the slower object

E)Four times that of the slower object.   

F)Three times that of the slower object

Please help and explain as I want to understand the question andanswer. Thank you.