An experiment was carried out to measure the effect of a compressive force exert

Question

An experiment was carried out to measure the effect of a compressive force exerted on the pogo stick’s inner spring. First, marks were drawn every two centimeters on the rod, as show in Figure 2. A force platform (similar to a bathroom scale) was used to measure the normal force exerted on the pogo stick as this was compressed. For each compression, the stick was compressed for 1 second. The data table below shows the average of the measured Normal force during that second:

To verify if the pogo stick behaves according to Hooke’s Law, draw a graph of force versus compression. Label the horizontal and vertical axes of the graph and show your choice of units.

1. Does the pogo stick obey Hooke’s Law? Explain   

2. Using the slope of the graph, calculate the spring constant of the pogo stick’s spring.

3. If the graph you obtained is linear, does the line go through the origin? If not, can you think of reason why it does not

4. We utilized the Normal force as compression force. Is this right? Show your reasoning based on a free-body diagram of the forces acting on the spring.

Need help with 1,2,3,4 especially 4!

Explanation / Answer

A) yes , it follows Hooke's law as we get a straight line on a graph of force versus compression.

According to Hooke's law extension / compression is directly proportional to applied force.

B) spring constant is given by slope of graph

= y 2 - y1 / ( x2 -x1 )

= 0.44607 N/m

As the values varies slightly for the graph the best fit line should be considered. And it is given by the graph in question.

C ) the graph is linear. And it does not pass through the origin . As there is a y intercept given in the equation.

4 ) using normal force as compression force is correct

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