N*m

N/m

m/N

J/s

To avoid breaking the spring or causing permanent deformation.

To ensure Hooke’s Law remains valid.

To avoid breaking the spring or causing permanent deformation and To ensure Hooke’s Law remains valid.

To reduce measurement errors in force readings.

To reduce random errors and confirm linearity.

To ensure the spring does not break.

To compare different springs.

To increase the precision of the force sensor.

Calibrate the force sensor to zero.

Measure the initial position of the spring.

Calibrate the force sensor to zero and measure the initial position of the spring.

None of the above.

By finding the slope of the Force vs. Displacement graph.

By averaging all force measurements.

By taking the inverse of the displacement.

By calculating the area under the Force vs. Displacement curve.

First, find the parallel combination, then add it in series with the third spring.

First, find the series combination, then add it in parallel with the third spring.

All three springs must be treated as being in series.

 All three springs must be treated as being in parallel.

$$k_{eq\ }=k_1+k_2$$

$$\frac{1}{k_{eq}}=\frac{1}{k_1}+\frac{1}{k_2}$$

$$k_{eq}=\frac{k_1k_2}{k_1+k_2}$$

$$\frac{1}{k_{eq}}=\frac{1}{k_1}+\frac{1}{k_2}$$ and $$k_{eq}=\frac{k_1k_2}{k_1+k_2}$$

k

2k

k/2

1. $$k^2$$

Less than both  k₁ and k₂

Between  k₁ and k₂

Greater than  k₁ and k₂

Equal to $$\frac{k_1+k_2}{2}$$

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