A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal. All parts are 4 points each.

Complete Question

1 a A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal.  How much work is done by the girl on the wagon?

1b  A farmhand pushes 20 ㎏ bale of hay 4m across the floor of the barn if she exerts a horizontal force of 60 N on the hay, how much work is done? (5 pts)

All parts are 4 points each

1a

1b

Explanation:

Considering question a

From the question we are told that

       The mass of the toy baby stroller is  

        The distance covered is    

          The force the girl applies on the handle  is  

          The angle at which this force is applied is  

Generally the workdone is mathematically represented as

Here   is the force along the horizontal axis , this is mathematically represented as

=>        

=>        

So

=>          

Considering question b

From the question we are told that

       The mass of the toy baby stroller is  

        The distance covered is    

          The force the girl applies on the handle  is        

Generally the workdone is mathematically represented as

=>    

=>    

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.