Respuesta :
The mass must be added to the object to change the period to 1.90s is 0.428Kg.
What is the formula for time periods?
A thing's time period is the length of time needed for it to complete one oscillation. Any wave element's angle displacement in relation to time is known as its frequency. T is the period, and f is the frequency, and the formula for time is T = 1/f. equals c / f, where c is the wave speed (m/s) and f is the frequency (Hz).
A mass of 0.460 kg oscillates with a period of 1.90 s when it is suspended from a spring.
The time period's formula is provided by,
T = 2π √m/k ....(1)
K denotes the spring's constant, and m denotes the mass.
The new duration is specified by,
T' = 2π √m'/K....(2)
where K is the spring constant, and m' is the final total mass following the addition.
Subtract equation (1) from equation (2).
T/T' = √m/m'
Now change the previously mentioned expression with the known terms.
1.5/1.9 = √0.46/m'
To find the value of m', simplify the expression above.
m' = 0.5/0.5625
m' = 0.888kg
Now, we can calculate the mass that must be added to the object to make the period 1.90s:
m' = 0.889 - 0.460
m' = 0.428Kg.
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