A block on a frictionless horizontal surface starts from rest at

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

2\,\text{kg}

block on a frictionless horizontal surface starts from rest at

x=0

. It is subjected to a force that is

8\,\text{N}

from

x=0

x=1\,\text{m}

and then varies with position as

F(x)=4x\,\text{N}

from

x=1\,\text{m}

x=2\,\text{m}

(with

x

in metres and the force along

+x

). The speed of the block after it has travelled

2\,\text{m}

is closest to (a)

5.3\,\text{m\,s}^{-1}

(b)

3.7\,\text{m\,s}^{-1}

(c)

2.8\,\text{m\,s}^{-1}

(d)

4.5\,\text{m\,s}^{-1}