From a set of graphed data the slope of the best fit line is found to be 1.35 m/s and the slope of the worst fit line is 1.29m/s. determine the uncertainty for the slope of the line.

Solution:

Let the slope of the best fit line be represented by ''

and the slope of the worst fit line be represented by ''

Given that:

= 1.35 m/s

= 1.29 m/s

Then the uncertainity in the slope of the line is given by the formula:

              (1)

Substituting values in eqn (1), we get

= 0.03 m/s

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards