Physics

Problem

A block is pulled along a horizontal frictionless surface from

x=0

x=10\,\text{m}

. The force acting on it satisfies the following conditions: 1.

F=0

x=0

. 2.

F

increases uniformly with

x

to reach

20\,\text{N}

x=5\,\text{m}

. 3. From

x=5\,\text{m}

x=10\,\text{m}

the force remains constant at an unknown value

F_2

. 4. The required net work done on the block over the complete

10\,\text{m}

journey is

50\,\text{J}

. a. (a) Draw a labelled sketch of one possible

F

versus

x

graph consistent with the above information. b. (b) Determine the magnitude of

F_2

that satisfies condition 4. c. (c) If, instead, the magnitude found in part (b) were doubled while all other conditions remained unchanged, calculate the new net work done and state whether it is positive, negative, or zero.

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