Question

A spring with spring constant 18.8 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 5.00 cm and released. The ball makes 36.0 oscillations in 22.0 seconds. 1) What is its the mass of the ball?

Answer 1

mass of the ball is 0.1298 kg

Step-by-step explanation:

Given data

spring constant k = 18.8 N/m

pulled down = 5.00 cm

36.0 oscillations

time = 22 seconds

to find out

What is its the mass of the ball

solution

first we calculate the frequency f = oscillations / k

f = 36 / 18.8 = 1.9148 Hz

so we know

f = 1/2π × √(k/m)

so here m is mass

m = k / 4π²f²

put all value

m = 18.8 / 4π²(1.9148)²

m = 0.129883 kg

mass of the ball is 0.1298 kg