Answer:
Explanation:
The period of oscillation is given as
T=2π√m/k
Making k subject of the formula
Square both sides of the equation
T²=4π²(m/k)
Cross multiply
T²k=4π²m
Then, divide through by T²
k=4π²m/T²
Where
k is spring constant
m is the mass of the bob
And T is the period of the oscillation
m=140g=0.14kg
14 oscillations takes 14 seconds
Then the period is
T=time/oscillation
T=14/14
T=1sec
Then,
k=4π²m/T²
k=4π²×0.14/1²
k=1.76N/m
Then, the spring constant is 1.76N/m
The work done on the mass is approximately 1J
<h3>How to calculate work done on mass</h3>
From the question, we are to determine the work done on the mass
The work done can be calculated from the formula for Potential energy
Work done = P.E = mgh
Where m is the mass
g is the acceleration due to gravity (g = 10 m/s²)
h is the height
From the question,
m = 2.0 kg
h = 0.050 m
Putting the values into the question, we get
Work done = 2.0 × 10 × 0.050
Work done = 1 J
Hence, the work done on the mass is approximately 1J
Learn more on how to calculate work done here: brainly.com/question/14460830