The gradient of the line is F/a = 4.51.
(Original post by MrBlackwood)
I am stuck on the following question and how to work out the two unknowns. If anyone could point me in the right direction, i would be grateful!
'An experimenter wishes to calculate the mass of an object and sets up an experiment to do so. She makes measurements of the force F ( in Newtons) and acceleration a (in ms-2) and plots a graph, from which a straight line results. She measures the gradient of the line to be 4.51.
Assuming that the equation F = 3.79p.m.a is valid, where p = 2.90, calculate the value of m which she measures. [7 marks]'
p = 2.90
F = 3.79 x p x m x a
F/a = 3.79 x 2.90 x m
4.51 = 3.79 x 2.90 x m
m = 0.410 kg to 3.s.f.
Edit: The Force *must* have been on the y-axis, as if it was on the x, this would mean the gradient was a/F = a/ma = 1/m, which is not a straight line, but rather a reciprocal function. So F/a is definitely 4.51
Lovely question actually
Last edited by The Polymath; 06-05-2012 at 18:37.