A mass of 100 g is hang on aspring, and the spring is stretched by 20 cm from is

Question

A mass of 100 g is hang on aspring, and the spring is stretched by 20 cm from is equilibrium position. Calculate the force exerted on the spring. When an additional 50 g mass is added, the spring is stretched by 30 cm. Calculate the additional force exerted on the spring. Calculate the additional stretch of the spring: Calculate the force constant of the spring k by using k = deltaF/deltax If the uncertainty in the mass measurement is deltam = plusminus 0.2 g, what is the uncertainty in the additional force? If the uncertainty in each position measurement is deltax = plusminus 0.1 cm, what is the uncertainty in the additional stretch of the spring? Write the relative uncertainty in the force constant k usomg symbols first, then calculate. Calculate the absolute uncertainty in the spring constant k.

Explanation / Answer

Here,

mass , m = 100 gm

m = 0.10 Kg

stretch , x = 20 cm

x = 0.20 m

for the force exerted on the spring = m * g

force exerted on the spring = 0.10 * 9.8

force exerted on the spring = 0.98 N

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for the additional force exerted on the spring

additional force exerted on the spring = 0.050 * 9.8

additional force exerted on the spring = 0.49 N

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for the additional stretch of the spring

additional stretch of the spring = 30 cm - 20 cm

additional stretch of the spring = 10 cm

the additional stretch of the spring is 10 cm

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for the uncertainity in additional force

uncertainity in additional force = dm * g

uncertainity in additional force = 0.2 * 9.8

uncertainity in additional force = 0.0196 N

the uncertainity in additional force is 0.0196 N

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