Question

1) You are given these two equations: gap spoke spoke to spoke And gap Please solve for X spoke and ? gap in terms of dspoke to spoke and Q 2) A car of mass, mi, is placed on a track and connected both a spring and a string which passes over a pulley and then is fastened to a hanging mass, m2. X is the distance (in meters) that the spring has been stretched. m2 is H meters from the floor a) How much Gravitational potential energy does m2 have? b) How much Spring potential energy is in the spring? c) If the car, string and m2 is travelling with speed v, how much Kinetic Energy does the system have? Rotary spring senso m2 Figure 1 POSTLAB 5 Consider the following graph provided by a DA Force vs Stretch 6 -44.753x 0.9008 ARed Spring Blue Spring Linear (Red Spring) Linear (Blue Spring) y-25.256x + 0.4775 0 0.1 Stretch (m) 0 0.05 0.15 0.2 Which spring is easier to stretch? Explain

Answer 1

Delta x_ gap + Delta x_ spoke = d_ spoke to spoke - - (1) Divide with Delta x_ gap Therefore 1 + Q = d_ spoke to spoke/Delta x_ gap Therefore Delta x_ gap = d_ spoke to spoke/1 + Q - - - (2) write this equation in Delta x_ spoke/Delta x_ gap = Q Therefore Delta x_ spoke = Q (Delta x_ gap) = Q (d_ spoke to spoke/1 + Q) Therefore Delta x_ spoke = Q d_ spoke to spoke/1 + Q a) Gravitational P. E = m_ 2 g H b) spring P. E = 1/2 k x^2 c) kinetic energy K . E = 1/2 (m_ 1 + m_ 2) v^2 As, F = k x The slope of graphs is spring constant hence, greater the slope of graph greater the spring constant & difficulty to increases Now, as slope of spring is less spring is easier to stretch