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In 1986, a 35 × 10' kg watch was demonstrated in Canada. Suppose this
watch is placed on a huge trailer that rests on a lightweight platform, and
that oscillations equal to 0.71 Hz are induced. Find the trailer's mass if the
platform acts like a spring scale with a spring constant equal to 1.0 x 10° N/m

Respuesta :

The mass of the trailer would be 0.10 kg

What is the period of a mass spring system?

The period of a mass spring system is said to be directly proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

It is represented thus;

T = 2π × √ m ÷ k

But note that period (T) is the reciprocal of frequency (f)

So, T = 1 ÷ f

Then, T = 2π × √ m ÷ k = 1 ÷ f

Make the mass 'm' the subject of the formula

m = k ÷ 2π^2 × f^2

Where

m = mass

k = spring constant

f = frequency

π = 3. 14

Mass, m = 1. 0 × 10^ 0 ÷ 2× 3.14 × 3.14 × 0.71 × 0. 71

= 1.0 × 1 ÷ 9. 94

= 0. 10 kg

Therefore, the mass of the trailer would be 0. 10kg.

Learn more about period of mass spring here:

https://brainly.com/question/15313050

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