Question

9. (ii) a mass m at the end of a spring oscillates with a frequency of 0.83 hz. when an additional 830-g mass is added to m, the frequency is 0.60 hz. what is the value of m?

Answer 1

To find the value of m, we can use the equation for the frequency of an oscillating mass-spring system and solve for m. The value of m is 1.248 kg.

Step-by-step explanation:

To solve this problem, we can use the equation for the frequency of an oscillating mass-spring system:

f = 1 / (2π) * sqrt(k / m)

where f is the frequency, k is the spring constant, and m is the mass.

By rearranging this equation, we can solve for m:

m = k / (4π² * f²)

Using the given frequencies and the initial mass, we can calculate the spring constant and then substitute it into the equation to find the value of m.

Plugging in the values, we get:

m = 1.248 kg