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a mass m at the end of a spring oscillates with a frequency of 0.78 hz . when an additional 730 g mass is added to m, the frequency is 0.65 hz . What is the value of m?

Sagot :

The value of mass m = 0.506kg

Initial frequency = 0.78Hz

additional mass =  730 g = 0.73kg

New frequency = 0.65 Hz

F = 1/2π [tex]\sqrt{x\\}k/m[/tex]

0.78 =  1/2π [tex]\sqrt{k/m}[/tex]

additional mass,

0.65 = 1/2π [tex]\sqrt{k/m+0.65}[/tex]

1.44 = k/m / k/m+0.73

1.44 = m+0.73 / m

1.44m -m = 0.73

1.44m = 0.73

mass m = 0.506kg

a measurement used in physics to express the inertia, a quality that all matter has in common. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force. The change caused by an applied force is proportional to the mass of the body. The kilograms is the measure of mass in the International System of Units (SI). Its definition is based on the Planck constant, which is set at 6.62607015 1034 joule second. The unit of energy known as a joule is one kilogramme times one square metre per second. The kilogramme is determined by precise measurements of Planck's constant, while the second and metre are already defined in terms of other physical constants.

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