A block is placed on a smooth horizontal surface

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

2.0\,\text{kg}

block is placed on a smooth horizontal surface. A horizontal force that varies with position according to

F(x)=5x\,\text{N}

(where

x

is in metres measured from the starting point) begins to act on the block from rest at

x=0

and continues until the block reaches

x=4\,\text{m}

. (i) Write, without evaluation, the integral that represents the work done by this force while the block moves from

x=0

x=4\,\text{m}

. (ii) Evaluate the work done numerically. (iii) Determine the speed of the block after it has moved through

4\,\text{m}