# Physics

posted by .

A mass m at the end of a spring vibrates with a frequency of 0.93 Hz. When an additional 607 g mass is added to m, the frequency is 0.63 Hz. What is the value of m?

• Physics -

Frequency = [1/(2 pi)] sqrt (k/m)

0.93 = [1/(2 pi)] sqrt (k/m)

0.63 = [1/(2 pi)] sqrt [k/(m+0.607)]

Take the ratio. The k will cancel out.

0.93/0.63 = 1.476 = sqrt[(m+0.607)/m]
= sqrt (1 + 0.607/m )
2.179 = 1 + 0.607/m
1.170 = .607/m

Solve for m. It will be in kg since I wrote the added mass in kg

## Similar Questions

1. ### physics (3 seperate questions)

1. A small fly of mass 0.26 g is caught in a spider's web. The web vibrates predominately with a frequency of 4.2 Hz. Find the effective spring stiffness constant k for the web. Hint: use natural frequency of oscillations formula. …
2. ### Physics

A mass m at the end of a spring vibrates with a frequency of 0.92 Hz. When an additional 600 g mass is added to m, the frequency is 0.64 Hz. What is the value of m?
3. ### Physics

A small fly of mass 0.26 is caught in a spider's web. The web vibrates predominately with a frequency of 4.6 . a)What is the value of the effective spring stiffness constant for the web?
4. ### Physics

A mass m at the end of a spring vibrates with a frequency of 0.936 Hz. When an additional 558 g mass is added to m, the frequency is 0.634 Hz. What is the value of m?
5. ### physics

A mass m at the end of a spring vibrates with a frequency of 0.87 Hz. When an additional 602 g mass is added to m, the frequency is 0.59 Hz. What is the value of m?
6. ### Physics

A spring stretches 0.150 m when a 0.30 kg mass is hung from it. The spring is then stretched an additional 0.100 m from this equilibrium point and released. Determine a). the spring constant, k, b). the maximum velocity of the mass, …