A spring is hanging from a post with total length L_0 as shown. When a mass m_1

Question

A spring is hanging from a post with total length L_0 as shown. When a mass m_1 is added to the spring the spring stretches to a new length L_1. How would you calculate the force and the stretch of this spring in terms of L_0,L_1,g, and m_1? 2) The force and the stretch of a spring has been measured for six different masses. Plot the data below and using a scatter plot with a linear trend line through your points to find the best fit value for the spring constant k of the spring assuming the force obeys the formula F = k(stretch) + f_0. 3) A mass is bouncing up and down on a spring and a position vs time graph has been generated. Use this graph to determine the period of the bounces, the amount of time it takes a mass to complete one full bounce. 4) Just as in lab 4 a block, m,, is at rest on a table tied to a string which goes over a pulley and down to m2. If the mass of the block is increased (by adding weight to the top of the block), does the Static Friction Force on the block by the table increase, decrease, or remain the same, if the block remains at rest Explain.

Explanation / Answer

1)from diagram force F=kx

here k=mw2, x=L1-L0

F=mw2(L1-L0) here(L1-L0)=stretch=F/mw2

2) graph drawn between F&stretch then it is a straight line passing through the origin

3 ) the amount of time it takes a mass to complete one full bounce from graph is 10 sec

4)static friction increasebecause weight of the block on the table increase by adding weight to the top of the

block

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